Chiral anomaly and unambiguous rational terms

TL;DR

This paper investigates the origin of chiral anomalies in quantum electrodynamics by analyzing Feynman amplitudes, identifying a regularization-independent rational term responsible for the anomaly.

Contribution

It introduces a new treatment of Feynman amplitudes that reveals the rational term as the unambiguous source of chiral anomaly in perturbation theory.

Findings

Identifies a regularization-independent rational term causing the chiral anomaly.

Applies the method to QED in 1+1 and 3+1 dimensions.

Provides insights into the fundamental origin of chiral anomalies.

Abstract

Through more detailed calculations on QED$_{1+1}$ and QED$_{3+1}$ emplying a new treatment of Feynman Amplitudes, we attribute the regularization independent and hence definite origin of chiral anomaly in perturbation theory to an unambiguous term which is a rational function in momentum space. Some relevant remarks are presented.