1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
|
% \iffalse
% This is feyn.dtx, which manages the use of the feyn Metafont
%
%% This software is copyright, 1991, 1994, 2001, 2002, 2005, 2008, 2009 Norman Gray.
%%
%% This program is free software; you can redistribute it and/or
%% modify it under the terms of the GNU General Public License
%% as published by the Free Software Foundation; either version 2
%% of the License, or (at your option) any later version.
%%
%% This program is distributed in the hope that it will be useful,
%% but WITHOUT ANY WARRANTY; without even the implied warranty of
%% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
%% GNU General Public License for more details.
%%
%% You should have received a copy of the GNU General Public License
%% along with this program; if not, write to the Free Software
%% Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
%%
%% Author: Norman Gray, norman@astro.gla.ac.uk.
%% Department of Physics and Astronomy, University of Glasgow, UK
%%
%% See the file LICENCE for a copy of the GPL.
%% You can also find an online copy at http://www.gnu.org/copyleft/gpl.html .
%
%<+package|driver>%% VCS Info: Mercurial revision 204fc9a2e560, 2009-10-08 12:56 +0100
%<+package>\NeedsTeXFormat{LaTeX2e}
%<+package>\ProvidesPackage{feyn}[2009/10/08 \space0.3.3\space textpos]
%<+package>\typeout{Package: `feyn' 0.3.3\space<2009/10/08 >}
%
%<*driver>
\documentclass{ltxdoc}
\usepackage{feyn}
\title{The feyn font}
\author{Norman Gray\\(\texttt{norman@astro.gla.ac.uk})}
\date{Version 0.3.3, 2009 October 8}
\newcommand\Lopt[1]{\textsf {#1}}
\newcommand\file[1]{\texttt {#1}}
\newcommand\Lcount[1]{\textsl {\small#1}}
\newcommand\pstyle[1]{\textsl {#1}}
%% \url macro (url.sty does this better)
\def\setpathdots{\discretionary{.}{}{.}}
\def\setpathslash{\discretionary{/}{}{/}}
{\catcode`\.=\active
\catcode`\/=\active
\gdef\pathcats{%
\catcode`\%=12 \catcode`\~=12
\catcode`\.=\active \let.\setpathdots
\catcode`\/=\active \let/\setpathslash
\catcode`\#=12 \catcode`\_=12}%
}
\def\setpath#1{\ttfamily <\nobreak #1\nobreak>\endgroup}
\def\url{\begingroup\pathcats\setpath}
%\RecordChanges
\OnlyDescription
\parskip=\medskipamount
\parindent=0pt
\begin{document}
\maketitle
\DocInput{feyn.dtx}
\end{document}
%</driver>
%
% \fi
%
%
%
%% \CharacterTable
%% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
%% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
%% Digits \0\1\2\3\4\5\6\7\8\9
%% Exclamation \! Double quote \" Hash (number) \#
%% Dollar \$ Percent \% Ampersand \&
%% Acute accent \' Left paren \( Right paren \)
%% Asterisk \* Plus \+ Comma \,
%% Minus \- Point \. Solidus \/
%% Colon \: Semicolon \; Less than \<
%% Equals \= Greater than \> Question mark \?
%% Commercial at \@ Left bracket \[ Backslash \\
%% Right bracket \] Circumflex \^ Underscore \_
%% Grave accent \` Left brace \{ Vertical bar \|
%% Right brace \} Tilde \~}
%
%
%
%
%
%
% \newcommand{\pslash}{p\llap{/\kern-0.3pt}}
% \newcommand{\feynx}{\textsl{feyn}}
% \newcommand{\metafont}{Metafont}
%
%
% This describes the font \feynx, which can be used to produce relatively
% simple Feynman diagrams within equations in a \LaTeX\ document.
%
% The other Feynman diagram package which exists is Thorsten Ohl's
% \textsl{feynmf}/\textsl{feynmp} package. That
% works by creating \metafont\ or MetaPost figures using a preprocessor.
% It's more general than this package, but is at its best when
% creating relatively large diagrams, for figures.
% In contrast, the present system consists of a carefully-designed font
% with which you can write simple diagrams, within equations or within text,
% in a size matching the surrounding text size.
%
% \iffalse
% \textbf{Contents:}
% \def\numberline#1{\space\emph{\S#1}~}
% \def\contentsline#1#2#3{#2,~p#3;}
% \makeatletter \@starttoc{toc} \makeatother
% \fi
%
% \subsection*{Status}
%
% The propagators and vertices which are implemented are those which
% seem to appear most often in non-figure displays (the practical
% definition of `appear most often' is `which I wanted' or `which
% people asked me for'). I'd be delighted to add others which folk
% feel would be useful, as long as they're still in the rather simple
% scope of the font..
%
%
% \section{Description}
%
% You use the font by including the package \texttt{feyn.sty}, as in
% \begin{verbatim}
% \usepackage{feyn}
% \end{verbatim}
% If you use the `amsmath' package, you should load that before
% loading the `feyn' package.\footnote{Because of a slight peculiarity
% of the amsmath package, the active~`!' command described below will
% not work properly within amsmath |{align}| or |{align*}|
% environments unless the~`!' is made active globally. This is done
% by default if the `amsmath' package is loaded first, and not done by
% default otherwise. If you have to override this behaviour for some
% very arcane reason, then you can force the global or local declaration
% of~`!' using the \Lopt{globalbang} and \Lopt{noglobalbang} options
% to the \texttt{$\backslash$usepackage\{feyn\}} command.}
%
% \makeatletter
% \def\refptcirc{\lower\feyn@maxis \hbox to 0pt{\hss$\circ$\hss}}
% \makeatother
% \begin{table}
% \def\tableskip{\noalign{\smallskip}}
% \halign{$\refptcirc\Feyn{#}$%
% \hfil\quad & $#$\hfil\quad & # \hfil\qquad && # \cr
% \omit Character & \omit & Name & Width & Height & Depth \cr
% \noalign{\smallskip\hrule\smallskip}
% f & f & fermion$^{\dag}$
% & 2 & 0 & 0 \cr \tableskip
% fs & fs & short fermion
% & 1 & 0 & 0 \cr \tableskip
% fl & fl & fermion loop$^{\dag\ddag}$
% & 0 & 1 & 0 \cr \tableskip
% flS & flS & fermion loop (small)$^{\dag\ddag}$
% & 0 & 1 & 0 \cr \tableskip
% fu & fu & upward fermion$^\dag$ (45$^\circ$)
% & $\sqrt2$ & $\sqrt2$ & 0 \cr \tableskip
% fd & fd & downward fermion$^\dag$
% & $\sqrt2$ & $\sqrt2$ & 0 \cr \tableskip
% fv & fv & vertical fermion$^\dag$
% & 0 & 2 & 0 \cr \tableskip
% f0 & f0 & spacer
% & 2 & 0 & 0 \cr \tableskip
% fs0 & fs0 & short spacer
% & 1 & 0 & 0 \cr \tableskip
% g & g & gluon/photon$^{\dag}$
% & 2 & 0 & 0 \cr \tableskip
% gl & gl & gluon loop$^{\dag\ddag}$
% & 0 & 2 & 0 \cr \tableskip
% glB & glB & gluon loop (big)$^{\dag}$
% & 0 & 2.67 & 0 \cr \tableskip
% glS & glS & gluon loop (small)$^{\dag}$
% & 0 & 1.33 & 0 \cr \tableskip
% g1\quad g2 & g1, g2 & gluon loop, 1st \& 2nd quadrants$^{\dag}$
% & 0 & 2 & 0 \cr \tableskip
% g4\quad g3 & g4, g3 & gluon loop, 4th \& 3rd quadrants$^{\dag}$
% & 0 & 0 & -2 \cr \tableskip
% gu & gu & upward gluon$^\dag$ (45$^\circ$)
% & $\sqrt2$ & $\sqrt2$ & 0 \cr \tableskip
% gd & gd & downward gluon$^\dag$
% & $\sqrt2$ & $\sqrt2$ & 0 \cr \tableskip
% gv & gv & vertical gluon$^\dag$
% & 0 & 2 & 0 \cr \tableskip
% m & m & massive fermion$^{\dag}$
% & 2 & 0 & 0 \cr \tableskip
% ms & ms & short massive fermion
% & 1 & 0 & 0 \cr \tableskip
% h & h & ghost
% & 2 & 0 & 0 \cr \tableskip
% hs & hs & short ghost
% & 1 & 0 & 0 \cr \tableskip
% hu & hu & upward ghost (45$^\circ$)
% & $\sqrt2$ & $\sqrt2$ & 0 \cr \tableskip
% hd & hd & downward ghost
% & $\sqrt2$ & $\sqrt2$ & 0 \cr \tableskip
% x & x & counterterm vertex & 0 & $a$ & $-a$ \cr \tableskip
% p & p & proper vertex & - & - & - \cr \tableskip
% P & P & proper vertex (variant) & - & - & - \cr \tableskip
% c & c & complete vertex & - & - & - \cr \tableskip
% a & a & arrow & 0 & 0 & 0 \cr
% }
% \caption{\label{chars} The characters in font \feynx. Characters
% marked~$\dag$ have arrowed variants indicated with~`A' and~`V' suffixes;
% and characters marked~$\ddag$ have an upside-down variant
% indicated with a `u' suffix. The `u' must come before the `A' or `V'.}
% \end{table}
%
% The characters in the font are shown in table~\ref{chars}.
% These are shown in textstyle size, but all characters are also available in
% displaystyle size.
% All of the displaystyle characters are additionally offset vertically
% up to the math axis, which has height~$a$.
% All the dimensions are shown as multiples of the
% length of a module which is the length of the short fermion.
% The~$\circ$ shows the reference point of each character.
% The proper vertex and the complete vertex are specified
% in terms of a `blob-radius' which is about half a module.
% They have a width of 2~radii, and a height and depth of 1~radius.
%
% Each of the characters marked with a~$\dag$ in the table has two
% arrowed variants, so that |\feyn{fA + gV}| produces $\feyn{fA +
% gV}$. The `A' variants produce arrows pointing rightwards or
% upwards, and the `V' variants arrows pointing leftwards or
% downwards. The characters marked with a~$\ddag$ also have an
% upside-down variant, thus `flu' is an upside-down variant of the
% fermion loop, and `fluV' an arrowed variant.
%
% The unnassigned positions in the \feynx\ font are filled
% with an obviously wrong dummy character, so that |$\feyn{A}$|, for example,
% produces $\feyn{fs0Afs0}$.
%
% The file \file{feyn.sty} additionally defines a number of macros,
% described here.
% \begin{description}
% \item[\cs{feyn}] Selects the diagram font. This must be used
% within math mode. \cs{Feyn} selects the text-mode diagram font.
% \item[\cs{momentum}\{ch\}\{text\}] sets the character
% ch, which may be a ligature, and puts the given text at the recommended
% annotation position for that character. |\momentum[pos]{ch}{text}|
% is the same, except that the optional argument indicates the
% position relative to the annotation position. It must be one of
% `top', `urt', `lrt', `bot', `llft' or `ulft'. See below for
% examples. This is rarely used as such, since the |\feyn| and |\Feyn|
% commands make~`!' a temporarily active character, and define it
% to be |\momentum|.
% \item[\cs{Diagram\{\}}] This is for building more complicated diagrams. It
% takes one argument, which is like the contents of an \texttt{\{array\}}
% environment---a series of formulae separated by \&'s and \verb-\\-. See
% below for an example. The result is a box on the math-axis.
% \item[\cs{maxis}] Raises a formula to the math-axis, which is
% occasionally useful within in-text equations: eg
% |$\Feyn{fglf} - \maxis{\Feyn{faf}}$| produces
% $\Feyn{fglf} - \maxis{\Feyn{faf}}$.
% \item[\cs{vertexlabel\{p\}\{text\}}] Allows you to label a vertex. If
% the first parameter~$p$ is~$\wedge$, the~\emph{text} is placed above the
% point at which the command is given, if it is~\texttt{\_}, it is
% placed below. For example, |$\feyn{f\vertexlabel^{a}}$| produces
% $\feyn{f\vertexlabel^{a}}$. More often used within |\Diagram|
% than elsewhere.
% \item[\cs{feynstrut\{h\}\{d\}}] For use within an (eqn)array environment, or
% the like. It modifies the control sequence \verb-\strut- to be a strut of
% height~$h$ and depth~$d$ modules, which can therefore be used to
% space the array out. Note that it modifies |\strut|, rather
% than being the strut itself.
% \item[\cs{annotate\{x\}\{y\}\{text\}}] Puts the \emph{text}, between dollars,
% in a zero width box at offset~$(x,y)$ modules from the position of the
% |\annotate| command (which is generally the first command(s) after
% entering math-mode). Because the \emph{text} is in math-mode, anything
% that is not maths should be in an |\mbox|.
% \end{description}
%
% The \feynx\ font is modular, in the sense that all the
% dimensions are in terms of a module of 10pt, and all sizes given
% below are in units of modules. As well as 10pt, the font has
% versions for 11pt, 12pt, 18pt and 24pt text, and the most
% appropriate one is selected depending on the text size declared (or
% defaulted) in the |\documentclass| command. This range of sizes
% seems to be appropriate for the sizes required, but the author would
% welcome comments on this. The distribution
% contains a sample file using the 18pt \feynx\ font in a
% \texttt{foiltex} document.
%
% You draw a diagram by going into math-mode (between \$\dots\$), and selecting
% the diagrams font by the font-changing command \verb-\feyn{}-
% (exactly as you might use \verb-\mathrm- in math-mode). With a couple of
% exceptions, all the characters are obtained by typing a single
% letter, or a couple of letters which form a ligature, so that the
% letter~$f$ in the diagrams font (\verb-$\feyn{f}$-) produces a
% fermion of length~2 (modules), and~$fs$ produces a short fermion of
% length~1. As usual in maths mode, space characters are ignored, so
% you can add whitespace as required to make the expressions more
% legible. Some of the more heavily used characters are available in
% both display size and text size, with the text-size version invoked
% by |\Feyn{...}|, so that |\feyn{fglf}| gives $\feyn{fglf}$ and
% |\Feyn{fglf}| gives $\Feyn{fglf}$. The displaystyle characters
% are all on the math-axis, the textstyle ones are on the text line.
%
% \section{Examples}
%
% \newdimen\halftextwidth
% \halftextwidth=\textwidth
% \advance\halftextwidth by -\tabcolsep
% \advance\halftextwidth by -\arrayrulewidth
% \divide\halftextwidth by 2
% \newenvironment{codeexample}
% {\vskip\medskipamount
% \def\Becomes{\cr
% \noalign{\vrule width \arrayrulewidth \hskip\tabcolsep}}
% \valign\bgroup
% \hrule height 0pt depth 0pt width \halftextwidth
% \hsize=\halftextwidth
% \vfil ## \vfil \cr}
% {\crcr\egroup
% \vskip\medskipamount}
% \newenvironment{examplerhs}{\begin{minipage}[t]{\halftextwidth}}
% {\\ \end{minipage}}
%
% A simple propagator:
% \begin{codeexample}
% \begin{verbatim}
% \feyn{\vertexlabel^a
% !{fA}p \vertexlabel^b}
% = \displaystyle
% \frac{i\delta^{ab}}
% {\pslash-m_0}}
% \end{verbatim}
% \Becomes
% \begin{examplerhs}$
% \feyn{\vertexlabel^a
% !{fA}p \vertexlabel^b}
% = \displaystyle
% \frac{i\delta^{ab}}{\pslash-m_0}
% $\end{examplerhs}
% \end{codeexample}
%
% The |\Diagram| command lays out its arguments as an array.
% \begin{codeexample}
% \begin{verbatim}
% \Diagram{\vertexlabel^a \\
% fd \\
% & g\vertexlabel_{\mu,c} \\
% \vertexlabel_b fu\\
% }
% = \displaystyle
% ig\gamma_\mu (T^c)_{ab}
% \end{verbatim}
% \Becomes
% \begin{examplerhs}$
% \Diagram{\vertexlabel^a \\
% fd \\
% & g\vertexlabel_{\mu,c} \\
% \vertexlabel_b fu\\
% }
% = \displaystyle
% ig\gamma_\mu (T^c)_{ab}
% $\end{examplerhs}
% \end{codeexample}
%
% An assortment of two-loop diagrams:
% \begin{codeexample}
% \begin{verbatim}
% \feyn{fs f gl f glu f fs}
% \end{verbatim}
% \Becomes
% $\feyn{fs f gl f glu f fs}$
% \end{codeexample}
% This is a ``short-fermion fermion gluon-loop fermion
% gluon-loop-upsidedown fermion short-fermion''.
%
% \begin{codeexample}
% \begin{verbatim}
% \feyn{ms mA gl gv ms x f}
% \end{verbatim}
% \Becomes
% $\feyn{ms mA gl gv ms x f}$
% \end{codeexample}
%
% \begin{codeexample}
% \begin{verbatim}
% \feyn{f !{g1A}1 !{g2V}2
% !{g3A}3 !{g4V}4 f},
% \feyn{fs f !{flA}{p}
% !{fluV}{k} f fs}
% \end{verbatim}
% \Becomes
% \begin{examplerhs}$
% \feyn{f !{g1A}1 !{g2V}2
% !{g3A}3 !{g4V}4 f},
% \feyn{fs f !{flA}{p}
% !{fluV}{k} f fs}
% $\end{examplerhs}
% \end{codeexample}
%
% \begin{codeexample}
% \begin{verbatim}
% \feyn{!{fA}p
% f!{glBV}k !{glSA}l
% a\vertexlabel_{p+k-l} ff}
% \end{verbatim}
% \Becomes
% \begin{examplerhs}$
% \feyn{!{fA}p
% f!{glBV}k !{glSA}l
% a\vertexlabel_{p+k-l} ff}
% $\end{examplerhs}
% \end{codeexample}
%
% \newenvironment{bigdisplay}
% {\newline
% \vbox{\hrule\hbox to \textwidth{\vrule height 1.5ex\hfil\vrule}}%
% \parskip0pt}
% {\vbox{\hbox to \textwidth{\vrule height 1.5ex \hfil\vrule}\hrule}}
%
% Bremsstrahlung:
% \begin{bigdisplay}
% \begin{verbatim}
% \[
% \Diagram{ & x \\
% & ![ulft]{gvV}{q=p'+k-p} & !{guA}k \\
% ![bot]{fA}p & ![bot]{fA}{p'+k} & ![lrt]{fA}{p'} \\
% }
% +
% \Diagram{ & !{guA}k \\
% !{fA}p & ![bot]{fA}{p-k} fs & !{fA}{p'} \\
% & & ![lrt]{gvA}{q=p'+k-p} \\
% & & x\\
% }
% \]
% \end{verbatim}
% \hrule
% \[
% \Diagram{ & x \\
% & ![ulft]{gvV}{q=p'+k-p} & !{guA}k \\
% ![bot]{fA}p & ![bot]{fA}{p'+k} & ![lrt]{fA}{p'} \\
% }
% +
% \Diagram{ & !{guA}k \\
% !{fA}p & ![bot]{fA}{p-k} fs & !{fA}{p'} \\
% & & ![lrt]{gvA}{q=p'+k-p} \\
% & & x\\
% }
% \]
% \end{bigdisplay}
%
% We can also have diagrams in the text, like~$\Feyn{fsfglffs}$, and we can
% annotate the diagrams
% \begin{codeexample}
% \begin{verbatim}
% \annotate{2}{-0.5}
% {\mbox{counterterm}}
% \feyn{ms m gl ![llft]{gv}l
% ms x f}
% \end{verbatim}
% \Becomes
% \begin{examplerhs} $
% \annotate{2}{-0.5}
% {\mbox{counterterm}}
% \feyn{ms m gl ![llft]{gv}l
% ms x f}
% $\end{examplerhs}
% \end{codeexample}
% This is a ``short-massive massive gluon-loop gluon-vertical
% short-massive counterterm fermion''.
%
% The expression for the heavy-fermion self-energy in the \textsc{ope} is:
% \begin{bigdisplay}
% \begin{verbatim}
% \def\bracket#1{\langle #1 \rangle}
% \begin{eqnarray*}
% -i\Sigma_{\rm ope} &=&
% \left[ \feyn{faf + fsfglffs + \cdots} \right] 1
% \feynstrut{1}{1}\strut \\
% && \quad{}+ \left[ \feyn{ fxfs0glfs0xf + \cdots} \right]
% \bracket{\overline\psi M \psi} \\
% && \quad{}+ \left[ \Diagram{ &x &x \\
% &gv &gv \\
% fs &fs &fs \\} + \cdots \right]
% \bracket{G_{\mu\nu}^a G_{\mu\nu}^a}\\
% \end{eqnarray*}
% \end{verbatim}
% \hrule
% \def\bracket#1{\langle #1 \rangle}
% \begin{eqnarray*}
% -i\Sigma_{\rm ope} &=&
% \left[ \feyn{faf + fsfglffs + \cdots} \right] 1
% \feynstrut{1}{1}\strut \\
% && \quad{}+ \left[ \feyn{ fxfs0glfs0xf + \cdots} \right]
% \bracket{\overline\psi M \psi} \\
% && \quad{}+ \left[ \Diagram{ &x &x \\
% &gv &gv \\
% fs &fs &fs \\} + \cdots \right]
% \bracket{G_{\mu\nu}^a G_{\mu\nu}^a}\\
% \end{eqnarray*}
% \end{bigdisplay}
%
% The Feynman Rules are as follows:
% \begin{bigdisplay}
% \begin{verbatim}
% \def\arraystretch{3} \arraycolsep=0.2cm
% \[ \begin{array}{rcl}
% \feyn{\vertexlabel^a !{fA}p \vertexlabel^b} % quark prop
% &=& \displaystyle
% {i\delta^{ab} \over \pslash- m_0} \\
%
% \Diagram{\vertexlabel^a \\ fd \\ & g\vertexlabel_{\mu,c} \\
% \vertexlabel_b fu\\} % 3-point vertex
% &=& \displaystyle
% ig\gamma_\mu (t^c)_{ab} \\
%
% \feyn{\vertexlabel_{\mu, a} !{gA}k \vertexlabel_{\nu, b}} % gluon prop
% &=& \displaystyle
% {-i\over k^2} \left[g_{\mu\nu} + (a_0 - 1) {k_\mu k_\nu \over k^2}\right]
% \delta^{ab} \\
%
% \Diagram{\vertexlabel^{\alpha,a} \\
% !{gdA}p \\
% & !{gA}r \vertexlabel_{\gamma,c} \\
% !{guA}q \\
% \vertexlabel_{\beta,b}
% } % 3-gluon vertex
% &=& \displaystyle
% -g f^{abc} (
% g_{\beta\gamma} (q-r)_\alpha +
% g_{\gamma\alpha} (r-p)_\beta +
% g_{\alpha\beta} (p-q)_\gamma
% ) \\
%
% \feyn{\vertexlabel^a !hp \vertexlabel^b} % ghost prop
% &=& \displaystyle
% {i \over p^2} \delta_{ab} \\
%
% \Diagram{\vertexlabel^b \\ hd \\ & g\vertexlabel^{\mu,a} \\
% \vertexlabel_c hu\\} % ghost-gluon vertex
% &=& \displaystyle
% -g f^{abc}p_\mu
% \quad\raise 1ex\hbox{\vtop{\hsize=15em
% where $p$ is the momentum of the outgoing positive energy
% ghost\par}}
% \end{array} \]
% \end{verbatim}
% \hrule
% \def\arraystretch{3} \arraycolsep=0.2cm
% \[ \begin{array}{rcl}
% \feyn{\vertexlabel^a !{fA}p \vertexlabel^b}
% &=& \displaystyle
% {i\delta^{ab} \over \pslash- m_0} \\
%
% \Diagram{\vertexlabel^a \\ fd \\ & g\vertexlabel_{\mu,c} \\
% \vertexlabel_b fu\\}
% &=& \displaystyle
% ig\gamma_\mu (t^c)_{ab} \\
%
% \feyn{\vertexlabel_{\mu, a} !{gA}k \vertexlabel_{\nu, b}}
% &=& \displaystyle
% {-i\over k^2} \left[g_{\mu\nu} + (a_0 - 1) {k_\mu k_\nu \over k^2}\right]
% \delta^{ab} \\
%
% \Diagram{\vertexlabel^{\alpha,a} \\
% !{gdA}p \\
% & !{gA}r \vertexlabel_{\gamma,c} \\
% !{guA}q \\
% \vertexlabel_{\beta,b}
% }
% &=& \displaystyle
% -g f^{abc} (
% g_{\beta\gamma} (q-r)_\alpha +
% g_{\gamma\alpha} (r-p)_\beta +
% g_{\alpha\beta} (p-q)_\gamma
% ) \\
%
% \feyn{\vertexlabel^a !hp \vertexlabel^b}
% &=& \displaystyle
% {i \over p^2} \delta_{ab} \\
%
% \Diagram{\vertexlabel^b \\ hd \\ & g\vertexlabel^{\mu,a} \\
% \vertexlabel_c hu\\}
% &=& \displaystyle
% -g f^{abc}p_\mu
% \quad\raise 1ex\hbox{\vtop{\hsize=15em
% where $p$ is the momentum of the outgoing positive energy
% ghost\par}}
% \end{array} \]
% \end{bigdisplay}
%
% The diagrams can also appear as parts of equations:
% \begin{bigdisplay}
% \begin{verbatim}
% \begin{eqnarray}
% \feyn{fcf} &=& \feyn{faf + fpf + fpfpf + \cdots} \\
% &=& \sum_{n=0}^\infty \feyn{fsafs ( pfsafs)}^n \\
% &=& \feyn{\frac{fsafs}{1-(pfsafs)}}.
% \end{eqnarray}
% \end{verbatim}
% \hrule
% \begin{eqnarray}
% \feyn{fcf} &=& \feyn{faf + fpf + fpfpf + \cdots} \\
% &=& \sum_{n=0}^\infty \feyn{fsafs ( pfsafs)}^n \\
% &=& \feyn{\frac{fsafs}{1-(pfsafs)}}.
% \end{eqnarray}
% \end{bigdisplay}
%
% \section{Installation}
%
% You should be able to find generic instructions for installing
% \LaTeX\ files at
% \url{http://www.tex.ac.uk/cgi-bin/texfaq2html?label=installthings}.
%
% If you have not done so already, you need to extract the package
% file from the distribution file using |latex feyn.ins|. The
% resulting \file{feyn.sty} should be installed in the usual location
% for style files -- that is, something like
% \file{texmf.local/tex/latex/feyn.sty}. The \metafont\ source files
% \file{*.mf} should be installed in a directory with a location such as
% \file{texmf.local/fonts/source/feyn/}. That should be all you need
% to do as regards the installation of the fonts -- if your \TeX\
% setup is installed correctly, then the usual font-generation
% commands (such as \file{mktexpk} for example) should work as normal,
% and these will usually be invoked by default when \LaTeX\ or
% pdf\LaTeX\ is run.
%
% If you are using a \TeX\ system based on TeXLive or teTeX (which is true of most Unix
% installations, and most MacOS\,X installations), then you can
% determine the style-file and \metafont\ search paths using the commands
% \begin{verbatim}
% % kpsepath tex
% % kpsepath mf
% \end{verbatim}
% respectively. After you have installed them, you will probably need
% to give the command \texttt{mktexlsr} to rebuild the paths database,
% and you can confirm that the files are findable with the commands
% \texttt{kpsewhich feyn.sty} and \texttt{kpsewhich feyn10.mf}.
%
% Users of other systems will have similar mechanisms
% for finding and confirming the search paths (and if anyone wishes to
% send me details, I can add the details to this document).
%
% \subsection*{Acknowledgements}
%
% Thanks to Purnendu Chakraborty, Fabio Correa, and Bryan Chen for
% suggestions and testing at various times.
%
%
% \StopEventually{}
%
% \section{Implementation}
% \begin{macrocode}
%<*package>
% \end{macrocode}
%
% Start off with the available options.
%
% A wrinkle is that the |{align}| environment, which is defined
% in the amsmath package, reads its contents before processing them,
% which means that a `!' within the environment has its catcode fixed
% before it can be changed by |\feyn| or |\diagram|. To handle this
% situation, we support \Lopt{globalbang} and \Lopt{noglobalbang}
% options, which cause the `!' character to be redefined globally or
% not. The default depends on whether the amsmath package was loaded
% before this one was.
% \begin{macrocode}
\newif\ifFeyn@globalbang
\@ifpackageloaded{amsmath}{\Feyn@globalbangtrue}{\Feyn@globalbangfalse}
\DeclareOption{globalbang}{\Feyn@globalbangtrue}
\DeclareOption{noglobalbang}{\Feyn@globalbangfalse}
% \end{macrocode}
%
% Now process the options specified in the package command.
% \begin{macrocode}
\ProcessOptions
% \end{macrocode}
%
% Declare the feyn math font family. The |\skewchar| for this font
% (see the \TeX book, p431) can be set to zero, since it's a
% completely upright maths font (the least of its peculiarities). We
% don't have the font in much of a range of sizes.
% \begin{macrocode}
\DeclareFontFamily{OMS}{feyn}{\skewchar\font'000}
\DeclareFontShape{OMS}{feyn}{m}{n}{%
<-10.5>feyn10%
<10.5-11.5>feyn11%
<11.5-15>feyn12%
<15-21>feyn18%
<21->feyn24%
}{}
% \end{macrocode}
%
% Now do the same for the text-size fonts, declaring the textfeyn math
% font family.
% \begin{macrocode}
\DeclareFontFamily{OMS}{textfeyn}{\skewchar\font'000}
\DeclareFontShape{OMS}{textfeyn}{m}{n}{%
<-10.5>feyntext10%
<10.5-11.5>feyntext11%
<11.5-15>feyntext12%
<15-21>feyntext18%
<21->feyntext24%
}{}
% \end{macrocode}
%
% XXX It would be nice to arrange things so that superscripts in
% the feyn font were drawn from cmmi7, or something. The original
% feyn.sty arranged this with |\scriptfont\diagramfam=\ninmi|, but
% it's not clear what the analogue in the FSS is.
%
% Now declare the `feynman' symbol font, and make the command |\feyn|
% set its argument in that font. Similarly have |\Feyn| invoke the
% feynman symbol font for the text sizes.
% \begin{macrocode}
\DeclareSymbolFont{feynman}{OMS}{feyn}{m}{n}
\DeclareSymbolFontAlphabet{\feyn@alphabet}{feynman}
\DeclareSymbolFont{textfeynman}{OMS}{textfeyn}{m}{n}
\DeclareSymbolFontAlphabet{\Feyn@alphabet}{textfeynman}
% \end{macrocode}
%
% Now use these font-setting commands, defining |\feyn| and |\Feyn| to
% switch to the given alphabets, defining ! as a shortcut for
% |\momentum| (so that |!{x}{y}| is interpreted as |\momentum{x}{y}|).
% We have to make sure that the `!' character produces that character
% everywhere except within |\feyn| or |\Feyn|. How we do this depends
% on the value of the |\ifFeyn@globalbang| switch.
% \begin{macro}{\feyn}
% \begin{macrocode}
\ifFeyn@globalbang
\catcode`\!=\active
\def!{\char`\!} % ! produces this character everywhere
\def\feyn{\begingroup
\let!\momentum % ...except within \feyn
\feyn@}
\def\Feyn{\begingroup
\let!\momentum % ...or \Feyn
\Feyn@}
\else
{\catcode`\!=\active % only make ! active within \feyn
\gdef\feyn{%
\begingroup % ends in \feyn@
\catcode`\!=\active
\let!=\momentum
\feyn@}
\gdef\Feyn{%
\begingroup % ends in \Feyn@
\catcode`\!=\active
\let!=\momentum
\Feyn@}}
\fi
\def\feyn@#1{\feyn@alphabet{#1}\endgroup}
\def\Feyn@#1{\Feyn@alphabet{#1}\endgroup}
% \end{macrocode}
% \end{macro}
%
%
% Now get the size of the `module' (the length of the fermion), and the
% height of the math-axis, from the font. You might think that the
% math-axis is obtainable from |\fontdimen22| of the font, but we do
% not load it as an |{operator}| font when we invoke
% |\DeclareSymbolFont|, so it does not have all 22 parameters that a
% symbol font (as the \TeX book uses the term, rather than \LaTeXe's
% NFSS). I confess I don't \emph{really} understand the ins and outs
% of this, but this route is robust and not wrong.
%
% The character |"7F| in the feyn font is blank, but has width
% |module#| and height |a#| (using the dimensions of the font
% file). Use this to set the |\feyn@module| and |\feyn@maxis|. Note
% that the `module' used in this package file is twice the module used
% in the \metafont\ files themselves.
% \begin{macro}{\feyn@module}
% \begin{macro}{\feyn@maxis}
% \begin{macrocode}
\DeclareMathSymbol{\FeynSpaceChar}{\mathord}{feynman}{"7F}
\setbox0=\hbox{$\FeynSpaceChar$}
\newdimen\feyn@mfmodule \feyn@mfmodule=\wd0
\newdimen\feyn@module \feyn@module=2\wd0
\newdimen\feyn@maxis \feyn@maxis=\ht0
% \end{macrocode}
% \end{macro}
% \end{macro}
%
% \begin{macro}{\Diagram}
% Define the |\Diagram| macro, which lays out a semi-complicated
% diagram in 2-d.
% \begin{macrocode}
{\catcode`\!=\active
\gdef\Diagram{%
\begingroup % ends in \Diagram@
\catcode`\!=\active
\let!\momentum
\Diagram@}}
\def\Diagram@#1{\setbox0=\hbox{\vbox{\offinterlineskip \let\\\cr
\halign{&$\displaystyle\feyn{##}$\cr #1\crcr}}}%
% \end{macrocode}
% At this point, |\box0| has zero depth. It must be an hbox, because
% we're fiddling with its height within a enclosing |\vbox|. See the
% \TeX book pp 388--389. This takes advantage of appx G, rule 8 to
% move box0 down by the height of the math axis. The construction
% |\dp0 = -2\fontdimen22 \textfont2| also works, in the sense of
% moving the box onto the math axis, but makes the box too small,
% which means that surrounding text can encroach.
% \begin{macrocode}
\@tempdima=\ht0
\advance\@tempdima by 2\feyn@maxis \ht0=\@tempdima
\vcenter{\box0}%
\endgroup}% end group begun in \Diagram
% \end{macrocode}
% \end{macro}
%
% \begin{macro}{\maxis}
% Raise the argument to the math axis.
% \begin{macrocode}
\def\maxis#1{\raise\feyn@maxis \hbox{$#1$}}
% \end{macrocode}
% \end{macro}
%
% \begin{macro}{\momentum}
% Manages annotation of characters. |\momentum{ch}{text}| sets the character
% ch, which may be a ligature, and puts the given text at the recommended
% annotation position for that character. |\momentum[pos]{ch}{text}|
% is the same, except that the optional argument indicates the
% position relative to the annotation position. It must be one of
% `top', `urt', `lrt', `bot', `llft' or `ulft'.
%
% First, some support macros.
%
% |\feyn@nudge| is a small amount
% which is added to the annotation positions, to keep them clear of the
% point they're annotating.
% \begin{macrocode}
\newdimen\feyn@nudge \feyn@nudge=\feyn@mfmodule \divide\feyn@nudge by 3
% \end{macrocode}
%
% The various |\feyn@pos@<x>| macros position their third argument
% adjacent to a point offset by an amount |(#1,#2)| from the current
% position. The macro |\feyn@pos@top| has the third argument adjacent
% and above the point, |\feyn@pos@urt| has it to the upper-right, and
% so on.
% \begin{macrocode}
\def\feyn@pos@top#1#2#3{% top
\leavevmode
\@tempdima=#2\feyn@mfmodule \advance\@tempdima\feyn@nudge
\setbox1=\hbox{\raise \@tempdima\hbox to 0pt{%
\hskip #1\feyn@mfmodule
\hbox to 0pt{\hss$\scriptstyle #3$\hss}\hss}}%
\ht1=0pt \dp1=0pt \box1}
\def\feyn@pos@urt#1#2#3{% urt
\leavevmode
\@tempdima=#2\feyn@mfmodule \advance\@tempdima\feyn@nudge
\setbox1=\hbox{\raise \@tempdima\hbox to 0pt{%
\hskip #1\feyn@mfmodule \hskip\feyn@nudge $\scriptstyle #3$\hss}}%
\ht1=0pt \dp1=0pt \box1}
\def\feyn@pos@lrt#1#2#3{% lrt
\leavevmode
\setbox0=\hbox to 0pt{\hskip\feyn@nudge $\scriptstyle #3$\hss}%
\@tempdima=#2\feyn@mfmodule
\advance\@tempdima -\ht0
\advance\@tempdima-\feyn@nudge
\setbox1=\hbox{\raise \@tempdima\hbox to 0pt{%
\hskip #1\feyn@mfmodule \box0\hss}}%
\ht1=0pt \dp1=0pt \box1}
\def\feyn@pos@bot#1#2#3{% bot
\leavevmode
\setbox0=\hbox to 0pt{\hss$\scriptstyle #3$\hss}%
\@tempdima=#2\feyn@mfmodule
\advance\@tempdima -\ht0
\advance\@tempdima-\feyn@nudge
\setbox1=\hbox{\raise \@tempdima\hbox to 0pt{%
\hskip #1\feyn@mfmodule \box0\hss}}%
\ht1=0pt \dp1=0pt \box1}
\def\feyn@pos@llft#1#2#3{% llft
\leavevmode
\setbox0=\hbox to 0pt{\hss$\scriptstyle #3$\hskip\feyn@nudge}%
\@tempdima=#2\feyn@mfmodule
\advance\@tempdima -\ht0
\advance\@tempdima-\feyn@nudge
\setbox1=\hbox{\raise \@tempdima\hbox to 0pt{%
\hskip #1\feyn@mfmodule \box0\hss}}%
\ht1=0pt \dp1=0pt \box1}
\def\feyn@pos@ulft#1#2#3{% ulft
\leavevmode
\@tempdima=#2\feyn@mfmodule \advance\@tempdima\feyn@nudge
\setbox1=\hbox{\raise \@tempdima\hbox to 0pt{%
\hskip #1\feyn@mfmodule
\hbox to 0pt{\hss$\scriptstyle #3$\hskip\feyn@nudge}\hss}}%
\ht1=0pt \dp1=0pt \box1}
% \end{macrocode}
%
% Now include the definitions of the annotation positions, as extracted
% from the Metafont file. These define macros |\feyn@ann@#1|,
% where argument |#1| is a given character (or ligature) at the
% position |(#2,#3)|, using the various |\feyn@pos@<x>| macros. The
% |<x>| is either the value of argument |#4|, or the contents of
% |\@tempa| if that has been set non-empty by |\momentum@|.
% \begin{macrocode}
\def\feyn@annotation#1#2#3#4{%
\expandafter\def\csname feyn@ann@#1\endcsname##1{%
\csname feyn@pos@\ifx\@tempa\@empty #4\else\@tempa\fi\endcsname
{#2}{#3}{##1}%
#1}}
% \end{macrocode}
% Now read in the collection of annotation positions. These are
% generated by the \texttt{./parse-ligtables} script, and inserted
% into this file by the Makefile when \file{feyn.dtx} is generated.
% \begin{macrocode}
% @FEYNANNOTATIONS@
% commands generated by parse-ligtables...
\feyn@annotation{f}{0.99974}{0.35}{top}% "f"
\feyn@annotation{fA}{0.99974}{0.35}{top}% "F"
\feyn@annotation{fV}{0.99974}{0.35}{top}% 6
\feyn@annotation{fu}{0.70692}{0.95692}{ulft}% "e"
\feyn@annotation{fuA}{0.70692}{0.95692}{ulft}% "E"
\feyn@annotation{fuV}{0.70692}{0.95692}{ulft}% 5
\feyn@annotation{fd}{0.70692}{0.95692}{urt}% "d"
\feyn@annotation{fdA}{0.70692}{0.95692}{urt}% "D"
\feyn@annotation{fdV}{0.70692}{0.95692}{urt}% 4
\feyn@annotation{fv}{0}{1.24974}{urt}% "b"
\feyn@annotation{fvA}{0}{1.24974}{urt}% "B"
\feyn@annotation{fvV}{0}{1.24974}{urt}% 2
\feyn@annotation{m}{0.99974}{0.32802}{top}% "m"
\feyn@annotation{mA}{0.99974}{0.32802}{top}% "M"
\feyn@annotation{mV}{0.99974}{0.32802}{top}% 13
\feyn@annotation{ms}{0.49986}{0.32802}{top}% 11
\feyn@annotation{fl}{0}{1.85}{top}% "l"
\feyn@annotation{flA}{0}{1.85}{top}% "L"
\feyn@annotation{flV}{0}{1.85}{top}% 12
\feyn@annotation{flu}{0}{-1.35}{bot}% "n"
\feyn@annotation{fluA}{0}{-1.35}{bot}% "N"
\feyn@annotation{fluV}{0}{-1.35}{bot}% 14
\feyn@annotation{flS}{0}{1.23335}{top}% "o"
\feyn@annotation{flSA}{0}{1.23335}{top}% "O"
\feyn@annotation{flSV}{0}{1.23335}{top}% 15
\feyn@annotation{flSu}{0}{-0.90001}{bot}% "w"
\feyn@annotation{flSuA}{0}{-0.90001}{bot}% "W"
\feyn@annotation{flSuV}{0}{-0.90001}{bot}% 23
\feyn@annotation{g}{0.99974}{0.45}{top}% "g"
\feyn@annotation{gA}{0.99974}{0.45}{top}% "G"
\feyn@annotation{gV}{0.99974}{0.45}{top}% 7
\feyn@annotation{gu}{0.70692}{0.95692}{ulft}% "u"
\feyn@annotation{guA}{0.70692}{0.95692}{ulft}% "U"
\feyn@annotation{guV}{0.70692}{0.95692}{ulft}% 21
\feyn@annotation{gd}{0.70692}{0.95692}{urt}% "v"
\feyn@annotation{gdA}{0.70692}{0.95692}{urt}% "V"
\feyn@annotation{gdV}{0.70692}{0.95692}{urt}% 22
\feyn@annotation{gv}{0}{1.24974}{urt}% "}"
\feyn@annotation{gvA}{0}{1.24974}{urt}% "]"
\feyn@annotation{gvV}{0}{1.24974}{urt}% 29
\feyn@annotation{g1}{-1.41422}{1.66422}{ulft}% "q"
\feyn@annotation{g1A}{-1.41422}{1.66422}{ulft}% "Q"
\feyn@annotation{g1V}{-1.41422}{1.66422}{ulft}% 17
\feyn@annotation{g2}{1.41422}{1.66422}{urt}% "r"
\feyn@annotation{g2A}{1.41422}{1.66422}{urt}% "R"
\feyn@annotation{g2V}{1.41422}{1.66422}{urt}% 18
\feyn@annotation{g3}{1.41422}{-1.16422}{lrt}% "s"
\feyn@annotation{g3A}{1.41422}{-1.16422}{lrt}% "S"
\feyn@annotation{g3V}{1.41422}{-1.16422}{lrt}% 19
\feyn@annotation{g4}{-1.41422}{-1.16422}{llft}% "t"
\feyn@annotation{g4A}{-1.41422}{-1.16422}{llft}% "T"
\feyn@annotation{g4V}{-1.41422}{-1.16422}{llft}% 20
\feyn@annotation{gl}{0}{2.25}{urt}% "y"
\feyn@annotation{glA}{0}{2.25}{urt}% "Y"
\feyn@annotation{glV}{0}{2.25}{urt}% 25
\feyn@annotation{glu}{0}{-1.75}{llft}% "z"
\feyn@annotation{gluA}{0}{-1.75}{llft}% "Z"
\feyn@annotation{gluV}{0}{-1.75}{llft}% 26
\feyn@annotation{glB}{0}{2.91667}{urt}% "{"
\feyn@annotation{glBA}{0}{2.91667}{urt}% "["
\feyn@annotation{glBV}{0}{2.91667}{urt}% 27
\feyn@annotation{glS}{0}{1.5833}{llft}% "|"
\feyn@annotation{glSA}{0}{1.5833}{llft}% "\"
\feyn@annotation{glSV}{0}{1.5833}{llft}% 28
\feyn@annotation{h}{0.99974}{0.25}{top}% "h"
\feyn@annotation{hA}{0.99974}{0.25}{top}% "H"
\feyn@annotation{hV}{0.99974}{0.25}{top}% 8
\feyn@annotation{hu}{0.70464}{0.95464}{ulft}% "i"
\feyn@annotation{huA}{0.70464}{0.95464}{ulft}% "I"
\feyn@annotation{huV}{0.70464}{0.95464}{ulft}% 9
\feyn@annotation{hd}{0.70464}{0.95464}{urt}% "j"
\feyn@annotation{hdA}{0.70464}{0.95464}{urt}% "J"
\feyn@annotation{hdV}{0.70464}{0.95464}{urt}% 10
\feyn@annotation{hs}{0.49986}{0.25}{top}% "K"
\feyn@annotation{c}{0.65044}{0.90044}{top}% "c"
\feyn@annotation{p}{0.65}{0.9}{top}% "p"
\feyn@annotation{P}{0.65044}{0.90044}{top}% "P"
\feyn@annotation{x}{0}{0.55641}{top}% "x"
% \end{macrocode}
%
%
% The |\momentum| macro (finally) invokes its worker macro
% |\momentum@|, defaulting that macro's optional argument to empty.
% In fact the macro |\momentum| should be only rarely
% invoked, since ! is made active and bound to it within |\feyn|.
%
% The |\momentum@| macro takes two arguments, and expands to a call to
% macro |\feyn@ann@#1|, acting on the second argument. This macro is
% one of those defined by |\feyn@annotation| above. There is an
% optional argument, giving the position for the annotation, if it has
% turned out that the default position for this character is
% inappropriate. The adjusted position may be one of `top', `urt',
% `lrt', `bot', `llft' or `ulft'.
% \begin{macrocode}
\def\momentum{\@ifnextchar[\momentum@{\momentum@[]}}
\def\momentum@[#1]#2#3{%
\def\@tempa{#1}
\ifx\@tempa\@empty \else
\@ifundefined{feyn@pos@#1}
{\@latex@error{No annotation position #1}%
{You cannot call \string\momentum[#1]{...}^^J(must be one
of top, urt, lrt, bot, llft, ulft)}%
#2}%
\fi
\@ifundefined{feyn@ann@#2}%
{\@latex@error{No annotation defined for #2}%
{You cannot call \string\momentum{#2}{...}}%
#2}%
{\csname feyn@ann@#2\endcsname{#3}}}
% \end{macrocode}
% \end{macro}
%
% \begin{macro}{\vertexlabel}
% The command |\vertexlabel^{text}| or |\vertexlabel_{text}| positions
% the |{text}| in maths mode either above or below, respectively, the
% current position. It's used between characters to label a vertex.
% \begin{macrocode}
\def\vertexlabel#1#2{\setbox0=\hbox to 0pt{\hss$\scriptstyle #2$\hss}
\ifcat #1^
\vbox to 0pt{\vss\box0\nointerlineskip\kern2\feyn@maxis}
\else\ifcat #1_
\vbox to 0pt{\kern\feyn@maxis\nointerlineskip\box0\vss}
\else
\PackageError{feyn}
{Bad arguments for \string\vertexlabel}
{Usage: \string\vertexlabel^{text} or \string\vertexlabel_{text}}
\fi\fi
}
% \end{macrocode}
% \end{macro}
%
% \begin{macro}{\annotate}
% The |\annotate| command takes $x$ and $y$ coordinates in units of
% modules, and text (in math mode) to be placed on a |\diagram|.
% Deprecated, now that the characters have annotation built in to them.
% \begin{macrocode}
\def\annotate#1#2#3{\vcenter to 0pt{\vss
\hbox to 0pt{\hskip #1\feyn@module\hbox to 0pt{\hss$\scriptstyle #3$\hss}\hss
}\vskip #2\feyn@module}}
% \end{macrocode}
% \end{macro}
% \begin{macro}{\tannotate}
% The |\tannotate| command is just the same, but the annotating text
% is in horizontal mode.
% \begin{macrocode}
\def\tannotate#1#2#3{\vcenter to 0pt{\vss
\hbox to 0pt{\hskip #1\feyn@module\hbox to 0pt{\hss #3\hss}\hss
}\vskip #2\feyn@module}}
% \end{macrocode}
% \end{macro}
%
% \begin{macro}{\feynstrut}
% The macro |\feynstrut#1#2| defines |\strut| to have a height
% |#1| modules, and depth |#2| modules.
% \begin{macrocode}
\def\feynstrut#1#2{\setbox\strutbox=\hbox{\vrule
height #1\feyn@module depth #2\feyn@module width 0pt}}
% \end{macrocode}
% \end{macro}
%
% \begin{macro}{\arrow}
% The command |\arrow#1#2#3| puts an arrow of gradient |#3|${}\times 45^\circ$
% at position |(#1,#2)|(modules). This doesn't work -- the |\char|
% results in a |\rm| character appearing, rather than a |\feyn|
% character. Putting in a symbol like `+' has the same effect, but
% putting in, say, `a' works as expected. In other words, it's to do
% with the character's mathcode, and the |\char|
% should be replaced by a |\mathchar"7?\@tempcnta| somehow. The
% problem is that that depends on the parameter |\fam| having a
% suitable value. It's not clear to me what this corresponds to in
% \LaTeXe. See the \TeX book, chapter 17.
% \begin{macrocode}
\def\arrow#1#2#3{\@latex@error{Do not use the \string\arrow macro any more}{}}
% \end{macrocode}
% \end{macro}
%
% Declare symbols. All of these are ligatures.
% \begin{macrocode}
\DeclareMathSymbol{\wfermion}{0}{feynman}{"64}
%\DeclareMathSymbol{\Wfermion}{0}{feynman}{"44}
\DeclareMathSymbol{\hfermion}{0}{feynman}{"6B}
%\DeclareMathSymbol{\Hfermion}{0}{feynman}{"4B}
\DeclareMathSymbol{\shfermion}{0}{feynman}{"6C}
%\DeclareMathSymbol{\sHfermion}{0}{feynman}{"4C}
\DeclareMathSymbol{\whfermion}{0}{feynman}{"6D}
%\DeclareMathSymbol{\wHfermion}{0}{feynman}{"4D}
\DeclareMathSymbol{\gvcropped}{0}{feynman}{"07}
% \end{macrocode}
% But the following are not ligatures.
% \begin{macrocode}
\DeclareMathSymbol{\bigbosonloop}{0}{feynman}{"7B}
%\DeclareMathSymbol{\Bigbosonloop}{7}{feynman}{"21}
\DeclareMathSymbol{\smallbosonloop}{0}{feynman}{"7C}
\DeclareMathSymbol{\bigbosonloopA}{0}{feynman}{"5B}
\DeclareMathSymbol{\smallbosonloopA}{0}{feynman}{"5C}
\DeclareMathSymbol{\bigbosonloopV}{0}{feynman}{"1B}
\DeclareMathSymbol{\smallbosonloopV}{0}{feynman}{"1C}
% \end{macrocode}
%
%
% \Finale
\endinput
|