Canonical quantization of the degenerate WZ action including chiral interaction with gauge fields

TL;DR

This paper performs canonical quantization of the degenerate Wess-Zumino action with chiral gauge interactions, analyzing specific SU(2) and SU(3) models to establish gauge invariance at the quantum level.

Contribution

It introduces a method for quantizing degenerate WZ actions with chiral gauge fields and applies it to SU(2) and SU(3) models, demonstrating gauge invariance.

Findings

Successful canonical quantization of the models

Gauge invariance maintained at the quantum level

Detailed analysis of SU(2) and SU(3) models

Abstract

Canonical quantization of the Wess-Zumino (WZ) model including chiral interaction with gauge field is considered for the case of a degenerate action. The two-dimensional SU(2) Yang-Mills model and the four-dimensional SU(3) chiral gauge model proposed in the paper \cite{fss} are studied in details. Gauge invariance of the quantum theory is established at the formal level.