Anomalous Transformation in Supersymmetric Yang-Mills Theory

TL;DR

This paper investigates the anomalous supersymmetry transformation of the gaugino axial current in supersymmetric Yang-Mills theory, computing the contact term at one-loop order and reexamining the supercurrent anomaly using a gauge-invariant approach.

Contribution

It provides a detailed one-loop calculation of the contact term and offers a reanalysis of the supercurrent anomaly with a gauge-invariant method.

Findings

Computed the contact term at one-loop order

Reexamined the supercurrent anomaly with gauge invariance

Clarified the nature of the supersymmetry anomaly in Yang-Mills theory

Abstract

An ``anomalous'' supersymmetry transformation of the gaugino axial current is given in supersymmetric Yang-Mills theory. The contact term is computed to one-loop order by a gauge-invariant point-splitting procedure. We reexamine the supercurrent anomaly in this method.