Anomalous Action in Gauge Invariant, Nonlocal, Dynamical Quark Model

Anomalous sector of chiral Lagrangian is calculated in a gauge invariant, nonlocal, dynamical quark model. The Wess-Zumino term is proved coming from two kinds of sources, one is independent on and another dependent on dynamical quark self energy $\mathrm{\Sigma }(k^2)$. $p^6$ and more higher order anomalous sectors come only from $\mathrm{\Sigma }(k^2)$ dependent source. After some cancellation, standard Wess-Zumino action is obtained.