The Antighost Equation in N=1 Super-Yang-Mills Theories
Olivier Piguet, Silvio Paolo Sorella

TL;DR
This paper extends the antighost equation to N=1 supersymmetric gauge theories in a supersymmetric Landau gauge, aiding in proving nonrenormalization theorems for chiral anomalies.
Contribution
It generalizes the antighost equation to supersymmetric theories, providing a tool for analyzing nonrenormalization properties in N=1 super-Yang-Mills.
Findings
The antighost equation is valid in N=1 supersymmetric gauge theories.
It supports the proof of nonrenormalization theorems for chiral anomalies.
The equation expresses the nonrenormalization of the Faddeev-Popov ghost field.
Abstract
The antighost equation valid for usual gauge theories in the Landau gauge, is generalized to the case of supersymmetric gauge theories in a supersymmetric version of the Landau gauge. This equation, which expresses the nonrenormalization of the Faddeev-Popov ghost field, plays an important role in the proof of the nonrenormalization theorems for the chiral anomalies.
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