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Anomalous Action of QCD from the General Quark Propagator

Yong-Liang Ma·Qing Wang·Yue-Liang Wu
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Abstract

The anomalous action of the chiral effective theory to $\mathcal{O}(p^4)$ is investigated by generalizing the consideration in \cite{ma02} with including the wave function part in the general quark propagator. It is found that the QCD dynamics dependence of the Wess-Zumino term is explicit and this dependence means that the QCD chiral symmetry must be broken dynamically in the low energy region for dynamically generating the Wess-Zumino term. In addition, we found that the next to leading order anomalous action in the momentum expansion of the chiral perturbation theory is gauge invariant and QCD dynamics dependent.

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Yong-Liang Ma, Qing Wang, Yue-Liang Wu. 2006-02-20. Anomalous Action of QCD from the General Quark Propagator. https://arxiv.org/abs/hep-ph/0602176

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