Derivation of Superconformal Anomaly without Ghosts in N = 1 SYM_4

TL;DR

This paper derives the superconformal anomaly in four-dimensional N=1 supersymmetric Yang-Mills theory using stochastic quantization, revealing that the gauge fixing term does not affect the anomaly at one-loop level.

Contribution

It introduces a novel derivation of the superconformal anomaly in N=1 SYM without ghost contributions using stochastic quantization and background field methods.

Findings

Superconformal anomaly derived at one-loop level

Supersymmetric gauge fixing term does not contribute to the anomaly

Method avoids ghost contributions in anomaly calculation

Abstract

The anomalous Ward-Takahashi identity for the superconformal symmetry in the four-dimensional N=1 supersymmetric Yang-Mills theory is studied in terms of the stochastic quantization method (SQM). By applying the background field method to the SQM approach, we derive the superconformal anomaly in the one-loop approximation and show that the supersymmetric stochastic gauge fixing term does not contribute to the anomaly.