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+\contentsline {section}{\numberline {\relax \let \hyper@@@ \relax \let \hyper@@@ \relax \let \hyper@@@ \hyper@ \hyperpr@ref {}{section}{\uppercase {i}}{\hbox {\hskip 1pt\relax \uppercase {i}}}\hskip -1pt\relax }Introduction}{3}
+\contentsline {section}{\numberline {\relax \let \hyper@@@ \relax \let \hyper@@@ \relax \let \hyper@@@ \hyper@ \hyperpr@ref {}{section}{\uppercase {ii}}{\hbox {\hskip 1pt\relax \uppercase {ii}}}\hskip -1pt\relax }Action, Fermion Propagator and Chiral Zero Modes}{5}
+\contentsline {subsection}{\numberline {\relax \let \hyper@@@ \relax \let \hyper@@@ \relax \let \hyper@@@ \hyper@ \hyperpr@ref {}{subsection}{A}{\hbox {\hskip 1pt\relax A}}\hskip -1pt\relax }Lattice Action}{5}
+\contentsline {subsection}{\numberline {\relax \let \hyper@@@ \relax \let \hyper@@@ \relax \let \hyper@@@ \hyper@ \hyperpr@ref {}{subsection}{B}{\hbox {\hskip 1pt\relax B}}\hskip -1pt\relax }Chiral Zero Modes}{7}
+\contentsline {subsection}{\numberline {\relax \let \hyper@@@ \relax \let \hyper@@@ \relax \let \hyper@@@ \hyper@ \hyperpr@ref {}{subsection}{C}{\hbox {\hskip 1pt\relax C}}\hskip -1pt\relax }Fermion Propagator and Zero Modes}{8}
+\contentsline {subsection}{\numberline {\relax \let \hyper@@@ \relax \let \hyper@@@ \relax \let \hyper@@@ \hyper@ \hyperpr@ref {}{subsection}{D}{\hbox {\hskip 1pt\relax D}}\hskip -1pt\relax }Fermion Feynman Rules }{10}
+\contentsline {section}{\numberline {\relax \let \hyper@@@ \relax \let \hyper@@@ \relax \let \hyper@@@ \hyper@ \hyperpr@ref {}{section}{\uppercase {iii}}{\hbox {\hskip 1pt\relax \uppercase {iii}}}\hskip -1pt\relax }Perturbative Calculations for the Chiral Schwinger Model}{11}
+\contentsline {subsection}{\numberline {\relax \let \hyper@@@ \relax \let \hyper@@@ \relax \let \hyper@@@ \hyper@ \hyperpr@ref {}{subsection}{A@}{\hbox {\hskip 1pt\relax A}}\hskip -1pt\relax }Effective Action at Fermion One-Loop}{12}
+\contentsline {subsection}{\numberline {\relax \let \hyper@@@ \relax \let \hyper@@@ \relax \let \hyper@@@ \hyper@ \hyperpr@ref {}{subsection}{B@}{\hbox {\hskip 1pt\relax B}}\hskip -1pt\relax }Evaluation of Zero Mode Contributions}{12}
+\contentsline {subsection}{\numberline {\relax \let \hyper@@@ \relax \let \hyper@@@ \relax \let \hyper@@@ \hyper@ \hyperpr@ref {}{subsection}{C@}{\hbox {\hskip 1pt\relax C}}\hskip -1pt\relax }Evaluation of Remaining Contributions}{14}
+\contentsline {subsection}{\numberline {\relax \let \hyper@@@ \relax \let \hyper@@@ \relax \let \hyper@@@ \hyper@ \hyperpr@ref {}{subsection}{D@}{\hbox {\hskip 1pt\relax D}}\hskip -1pt\relax }Total Contributions}{16}
+\contentsline {section}{\numberline {\relax \let \hyper@@@ \relax \let \hyper@@@ \relax \let \hyper@@@ \hyper@ \hyperpr@ref {}{section}{\uppercase {iv}}{\hbox {\hskip 1pt\relax \uppercase {iv}}}\hskip -1pt\relax }Anomalies in the Chiral Schwinger Model}{17}
+\contentsline {subsection}{\numberline {\relax \let \hyper@@@ \relax \let \hyper@@@ \relax \let \hyper@@@ \hyper@ \hyperpr@ref {}{subsection}{A@@}{\hbox {\hskip 1pt\relax A}}\hskip -1pt\relax }Currents and their Divergence}{17}
+\contentsline {subsection}{\numberline {\relax \let \hyper@@@ \relax \let \hyper@@@ \relax \let \hyper@@@ \hyper@ \hyperpr@ref {}{subsection}{B@@}{\hbox {\hskip 1pt\relax B}}\hskip -1pt\relax }Gauge invariance}{18}
+\contentsline {subsection}{\numberline {\relax \let \hyper@@@ \relax \let \hyper@@@ \relax \let \hyper@@@ \hyper@ \hyperpr@ref {}{subsection}{C@@}{\hbox {\hskip 1pt\relax C}}\hskip -1pt\relax }Gauge Anomalies}{19}
+\contentsline {subsection}{\numberline {\relax \let \hyper@@@ \relax \let \hyper@@@ \relax \let \hyper@@@ \hyper@ \hyperpr@ref {}{subsection}{D@@}{\hbox {\hskip 1pt\relax D}}\hskip -1pt\relax }Chern-Simons Current}{20}
+\contentsline {subsection}{\numberline {\relax \let \hyper@@@ \relax \let \hyper@@@ \relax \let \hyper@@@ \hyper@ \hyperpr@ref {}{subsection}{E}{\hbox {\hskip 1pt\relax E}}\hskip -1pt\relax }Pythagorean Chiral Schwinger Model and Anomaly in Fermion Number Current}{21}
+\contentsline {section}{\numberline {\relax \let \hyper@@@ \relax \let \hyper@@@ \relax \let \hyper@@@ \hyper@ \hyperpr@ref {}{section}{\uppercase {v}}{\hbox {\hskip 1pt\relax \uppercase {v}}}\hskip -1pt\relax }conclusions}{23}