Superspace formulation with a new and extended BRST

Abstract

Superspace formulation is an elegant proposal to deal with BRST symmetries and Ward identities of a gauge theory. A new effective SU(N) QCD in a novel quadratic gauge has recently been introduced which throws light on interesting non perturbative characteristics of QCD. The effective theory has an unusual feature of having two pairs of ghosts and thus has some unconventional BRST transformations. In this paper, we propose a formulation of this unique theory in a six-dimensional superspace in which additional two dimensions are Grassmannian. The process of stated formulation also brings to attention a novel result that not all sets of BRST transformations under which the theory is invariant lead to consistent superspace version. The work is also imperative in view of its implications on the ward identity in the superspace. Keywords: Superspace, Quadratic gauge, Two pairs of ghosts, Extended BRST transformations