Anomalous Action in Gauge Invariant, Nonlocal, Dynamical Quark Model

preprint2003arXivOpen access

Abstract

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 Σ(k2)Σ(k^2). p6p^6 and more higher order anomalous sectors come only from Σ(k2)Σ(k^2) dependent source. After some cancellation, standard Wess-Zumino action is obtained.

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