A superspace formulation of BRS/anti-BRS symmetric Yang-Mills effective action

Abstract

We give a superspace formulation that generates the BRS/anti BRS invariant Yang Mills effective action of Baulieu Thierry-Mieg. This work generalizes our earlier work on superspace formulation for Faddeev Popov effective action. Our work differs from earlier works by other workers in that our superfields are completely unconstrained and our superspace is not just a formal device but allows superrotations. We construct a generating functions W that has (broken) invariance under two separate sets of superrotations that mix xμ with grassmannian coordinates λ and θ.These allow the BRS and anti-BRS WT identities for W formulated as two simple elegant equations involving (∂W/∂θ) and (∂W/∂λ). We also note that quadratic guages can be naturally included straightforwardly in this superspace formulation.