Chiral Gauge Anomalies on Noncommutative Minkowski Space-time

TL;DR

This paper computes chiral gauge anomalies in noncommutative Minkowski space-time, clarifying their origin and deriving both consistent and covariant forms using Fujikawa's method and Feynman diagrams.

Contribution

It provides a detailed calculation of chiral gauge anomalies in a noncommutative setting, highlighting their origin and form.

Findings

Derived consistent and covariant anomaly forms

Applied Fujikawa's method and Feynman diagrams

Clarified the anomaly's origin in noncommutative space

Abstract

Chiral gauge anomalies on noncommutative Minkowski Space-time are computed and have their origin elucidated. The consistent form and the covariant form of the anomaly are obtained. Both Fujikawa's method and Feynman diagram techniques are used to carry out the calculations