The antighost equation in N = 1 super-Yang-Mills theories

The antighost equation valid for usual gauge theories in the Landau gauge, is generalized to the case of N = 1 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.