Study of Gauge Symmetry of Some Field Theoretical Models Through the Lagrangian Formulation

TL;DR

This paper presents a Lagrangian-based method to identify and analyze gauge symmetries in various field theoretical models, including how to extend phase space to restore gauge invariance.

Contribution

It introduces a prescription capable of testing gauge symmetry presence and formulating gauge transformations, applicable to both standard and extended phase spaces.

Findings

Successfully tests gauge symmetry in different models

Formulates gauge transformation generators effectively

Guides extension of phase space with auxiliary fields

Abstract

Study of gauge symmetry is carried over the different interacting and noninteracting field theoretical models through a prescription based on lagrangian formulation. It is found that the prescription is capable of testing whether a given model posses a gauge symmetry or not. It can successfully formulate the gauge transformation generator in all the cases whatever subtleties are involved in it. It is found that the prescription has the ability to show a direction how to extend the phase space using auxiliary fields to restore the gauge invariance of a theory. Like the usual phase space the prescription is found to be equally powerful in the extended phase space of a theory.