Superfield quantization of general gauge theories

TL;DR

This paper introduces a superfield framework for covariant Lagrangian quantization of gauge theories, providing a geometric interpretation of Ward identities and unifying BRST and antiBRST symmetries within superspace.

Contribution

It develops a superfield approach on superspace for $Sp(2)$--covariant quantization, offering a new geometric perspective and unifying BRST and antiBRST transformations as supertranslations.

Findings

Superfield formalism for gauge theories is established.

A geometric interpretation of Ward identities is provided.

BRST and antiBRST symmetries are realized as supertranslations.

Abstract

A superfield version on superspace $(x^\mu,\theta^a)$ is proposed for the $Sp(2)$-- covariant Lagrangian quantization of general gauge theories. The BRST- and antiBRST- transformations are realized on superfields as supertranslations in the $\theta^a$-- directions. A new (geometric) interpretation of the Ward identities in the quantum gauge theory is given.