N=1 SUPERSYMMETRIC YANG–MILLS THEORY IN d=4 AND ITS BATALIN–VILKOVISKY QUANTIZATION BY SPINOR SUPERFIELDS

Abstract

Four-dimensional N=1 supersymmetric Yang–Mills theory action is written in terms of the spinor superfields in transverse gauge. This action is seemingly first order in spacetime derivatives. Thus, it suggests that the generalized fields approach of obtaining Batalin–Vilkovisky quantization can be applicable. In fact, generalized fields which collect spinor superfields possessing different ghost numbers are introduced to obtain the minimal solution of its Batalin–Vilkovisky master equation in a compact form.