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

In the framework of the stochastic quantization method with nonlocal form factors, two-, three- and four-point correlation functions for the Yang-Mills field and 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.