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

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 [1] are studied in details. Gauge invariance of the quantum theory is established at the formal level.