The Effective Action for Superfield Lagrangian Quantization in Reducible Hypergauges

TL;DR

This paper develops a superfield Lagrangian quantization framework for reducible hypergauge functions, establishing gauge independence and deriving Ward identities in a general gauge theory setting.

Contribution

It formulates rules for local superfield Lagrangian quantization in reducible non-Abelian hypergauge functions for arbitrary gauge theories.

Findings

Constructed generating functionals depending on Grassmann variable η.

Derived Ward identities ensuring gauge invariance.

Proved gauge independence of the S-matrix.

Abstract

The rules of local superfield Lagrangian quantization in reducible non-Abelian hypergauge functions are formulated for an arbitrary gauge theory. The generating functionals of standard and vertex Green's functions which depend on the Grassmann variable $\eta$ via super(anti)fields and sources are constructed. The difference between the local quantum and the gauge fixing actions determines an almost Hamiltonian system such that translations with respect to $\eta$ along the solutions of this system define the superfield BRST transformations. The Ward identities are derived and the gauge independence of the S-matrix is proved.