Derivation of Superconformal Anomaly without Ghosts in N = 1 SYM4

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.