SUPERSPACE FORMULATION OF YANG-MILLS THEORY

We give a formulation of gauge theories in a six-dimensional superspace in which the additional two dimensions are anticommuting. We write down an action that is guage invariant under gauge transformations in six-dimensional space and has invariance under rotations in this space. This action, when reduced to four dimensions, naturally contains the composite operators and their sources that one introduces in order to discuss the renormalization of gauge theories using the Becchi-Rouet-Stora transformation. It is shown how the six-dimensional theory can be reduced to yield the usual results of four-dimensional theory.