\documentclass[10pt]{article} \usepackage{feyn} \makeatletter \def\refptcirc{\lower\feyn@maxis \hbox to 0pt{\hss$\circ$\hss}} \makeatother \let\\\cr \begin{document} Alphabetically: \halign{#\hfil\quad&$\refptcirc\feyn{#}$\cr a & a \\ b & b \\ c & c \\ d & d \\ e & e \\ f & f \\ g & g \\ h & h \\ i & i \\ j & j \\ k & k \\ l & l \\ m & m \\ n & n \\ o & o \\ p & p \\ q & q \\ r & r \\ s & s \\ t & t \\ u & u \\ v & v \\ w & w \\ x & x \\ y & y \\ z & z \\ } \newpage With ligatures: \def\T{\tracingmacros=2 \tracingcommands=2 } \halign{&#\hfil\quad&$\refptcirc\feyn{#}$\qquad \cr f & f & fA & fA & fV & \momentum{fV}{pk} \\ fu & fu & fuA & fuA & fuV & \momentum{fuV}{pk} \\ fd & fd & fdA & fdA & fdV & \momentum{fdV}{pk} \\ fv & fv & fvA & fvA & fvV & \momentum{fvV}{pk} \\ fl & fl & flA & flA & flV & \momentum{flV}{pk} \\ flu & flu & fluA & fluA & fluV & \momentum{fluV}{pk} \\ flS& flS & flSA & flSA & flSV & \momentum{flSV}{pk} \\ flSu& flSu & flSuA & flSuA & flSuV & \momentum{flSuV}{pk} \\ fs & |fs| \\ fs0 & |fs0| \\ g & g & gA & gA & gV & \momentum{gV}{pk} \\ gu & gu & guA & guA & guV & \momentum{guV}{pk} \\ gd & gd & gdA & gdA & gdV & \momentum{gdV}{pk} \\ gv & gv & gvA & gvA & gvV & \momentum{gvV}{pk} \\ g1 & g1 & g1A & g1A & g1V & \momentum{g1V}{pk} \\ g2 & g2 & g2A & g2A & g2V & \momentum{g2V}{pk} \\ g3 & g3 & g3A & g3A & g3V & \momentum{g3V}{pk} \\ g4 & g4 & g4A & g4A & g4V & \momentum{g4V}{pk} \\ gl & gl & glA & glA & glV & \momentum{glV}{pk} \\ glu & glu & gluA & gluA & gluV & \momentum{gluV}{pk} \\ glB & glB \\ glS & glS \\ m & m & mA & mA & mV & \momentum{mV}{pk} \\ ms & ms & ms & \momentum{ms}{pk} \\ h & h & hA & hA & hV & \momentum{hV}{pk} \\ hu & hu & huA & huA & huV & \momentum{huV}{pk} \\ hd & hd & hdA & hdA & hdV & \momentum{hdV}{pk} \\ hs & hs & hs & \momentum{hs}{pk} \\ x & x & x & \momentum{x}{pk} \\ p & p & P & \momentum{P}{pk} \\ c & c & c & \momentum{c}{pk} \\ a & a & A & A \\ } \newpage \def\twice#1{#1 & #1 \\} \halign{&#\hfil\quad&$\refptcirc\feyn{#}$\qquad\cr \twice{fs f gl gv f fs} \twice{fs f glA gv f fs} \twice{fs fA glA gvV f fs} \twice{fs fA g1A gvV g2V fA fs} \twice{msmAglgvmsxf} } \vskip10ex Annotations: a: $\feyn{!f1\momentum{fA}2}$ b: $\feyn{f !{gluV}k f}$ \vskip 10ex c: $\feyn{f !{g1A}1 \momentum{g2V}2 \momentum{g3A}3 \momentum{g4V}4 f}$ \vskip 10ex d: $\feyn{\momentum{gl}a\momentum{gluV}b}$ \vskip 10ex e: $\feyn{fs f \momentum{flA}{pk} \momentum{fluV}{pk} f fs}$ \vskip 10ex f: $\feyn{fs f \momentum{flSA}{pk} \momentum{flSuV}{pk} f fs}$ %error: $\feyn{\momentum{x}x}$ \newpage Vertex Feynman diagram: \[ \Diagram{\vertexlabel^a \\ fd \\ & g\vertexlabel_{\mu,c} \\ \vertexlabel_b fu \\ } = \Diagram{\vertexlabel^a \\ fdA \\ & gA\vertexlabel_{\mu,c} \\ \vertexlabel_b fuV \\ } = \Diagram{\momentum{fdA}a\\ & \vertexlabel_{\gamma_\mu} \momentum{gA}{\mu,c} \\ \momentum{fuV}b } = ig\gamma_\mu (T^c)_{ab} \] Two-loop diagram: \[ \feyn{ff gl ff} \to \feyn{ff\bigbosonloopA\smallbosonloopV ff} = \feyn{!{fA}p f!{glBV}k !{glSA}l a\vertexlabel_{p+k-l} ff} \] Bremsstrahlung: \[ \Diagram{ & x \\ & ![ulft]{gvV}{q=p'+k-p} & !{guA}k \\ ![bot]{fA}p & ![bot]{fA}{p'+k} & ![lrt]{fA}{p'} \\ } + \Diagram{ & !{guA}k \\ !{fA}p & fs ![bot]{fA}{p-k} & !{fA}{p'} \\ & & ![lrt]{gvA}{q=p'+k-p} \\ & & x\\ } \] OPE: \def\bracket#1{\langle #1 \rangle} \begin{eqnarray*} -i\Sigma_{\mathrm{ope}} &=& \left[\feyn{faf + fsfglffs + \cdots} \right] 1 \\ && \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*} Complete vertex: \begin{eqnarray*} \feyn{fcf} &=& \feyn{faf + fpf + fpfpf + \cdots} \\ &=& \sum_{n=0}^\infty \feyn{fA ( pfA)}^n \\ &=& \feyn{\frac{fA}{1-(pfA)}}. \end{eqnarray*} \iffalse \halign{&#\hfil\quad&$\refptcirc\feyn{#}$ \cr a & a \\ c & c \\ f & f \\ F & F \\ fs & fs \\ fl & fl \\ fu & fu \\ fd & fd \\ fv & fv \\ f0 & f0 \\ fs0 & fs0 \\ g & g \\ G & G \\ gl & gl \\ glu & glu \\ $\backslash$ smallbosonloop & \smallbosonloop \\ $\backslash$ bigbosonloop & \bigbosonloop \\ gu & gu \\ gd & gd \\ gv & gv \\ gvs & gvs \\ gvb & gvb \\ h & h \\ hs & hs \\ hu & hu \\ hd & hd \\ k & k \\ l & l \\ m & m \\ ms & ms \\ n & n \\ o & o \\ p & p \\ x & x \\ w & w \\ %000 & \arrow000\\ %00 45 & \arrow00{45}\\ } \fi \end{document}