BRST extension of the Faddeev model

TL;DR

This paper develops a BRST extension for the Faddeev model, a constrained system, by constructing a nilpotent BRST operator and deriving a BRST invariant Lagrangian, utilizing Stuckelberg fields.

Contribution

It introduces a novel BRST extension for the Faddeev model, employing Stuckelberg fields to achieve a manifestly invariant formulation.

Findings

Successfully constructed a nilpotent BRST operator.

Derived a BRST invariant Lagrangian for the Faddeev model.

Employs Stuckelberg fields in a nontrivial way.

Abstract

The Faddeev model is a second class constrained system. Here we construct its nilpotent BRST operator and derive the ensuing manifestly BRST invariant Lagrangian. Our construction employs the structure of Stuckelberg fields in a nontrivial fashion.