A New Approach to Axial Vector Gauge Theories

TL;DR

This paper introduces a novel four-dimensional computational approach for anomalous U(1) axial vector gauge theories, simplifying analysis and potentially improving understanding of their divergence structures and renormalizability.

Contribution

It proposes a new computational method directly in four dimensions, enhancing analysis of axial vector gauge models beyond the operator formalism.

Findings

Simplifies divergence analysis in axial vector gauge theories

Facilitates practical computations in realistic models

Supports the renormalizability of the model

Abstract

In an earlier paper it has been shown that the ultra violet divergence structure of anomalous U(1) axial vector gauge model in the stochastic quantization scheme is different from that in the conventional quantum field theory. Also it has been shown that the model is expected to be renormalizable. Based on the operator formalism of the stochastic quantization, a new approach to anomalous U(1) axial vector gauge model is proposed. The operator formalism provides a convenient framework for analysis of ultra violet divergences, but the computations in a realistic model become complicated. In this paper a new approach to do computations in the model is formulated directly in four dimensions. The suggestions put forward here will lead to simplification in the study of applications of the axial vector gauge theory, as well as those of other similar models