SO(N) invariant Wess-Zumino action and its quantization

TL;DR

This paper develops a quantization method for anomalous chiral models by modifying classical actions with Wess-Zumino terms, explicitly constructing an $SO(3)$ invariant WZ action and analyzing its quantization.

Contribution

It introduces a new $SO(3)$ invariant Wess-Zumino action and details its quantization, advancing the understanding of anomalous chiral model quantization.

Findings

Constructed an $SO(3)$ invariant WZ action.

Provided a detailed quantization procedure for the modified theory.

Enhanced the framework for consistent quantization of anomalous models.

Abstract

A consistent quantization procedure of anomalous chiral models is discussed. It is based on the modification of the classical action by adding Wess-Zumino terms. The $SO(3)$ invariant WZ action for the $SO(3)$ model is constructed. Quantization of the corresponding modified theory is considered in details.