Ward identity for gauge field in stochastic quantization with nonlocal form factors

Abstract

In the framework of the stochastic quantization method with nonlocal form factors, two-, three- and four-point correlation functions for the Yang-Mills field andβ function are calculated. A Schwinger-Dyson renormalization program is formulated for regularized QCD4. It is shown that the gauge fixing due to Zwanziger does not break gauge invariance and that the Ward identity is also fulfilled.