Two different gauge-invariant models in the Lagrangian approach

TL;DR

This paper systematically derives gauge transformations for two gauge-invariant models, the chiral Schwinger and CP^1 with Chern-Simons term, within the Lagrangian formalism, enhancing understanding of their gauge structures.

Contribution

It introduces a systematic method to derive gauge transformations for specific gauge-invariant models in the Lagrangian approach.

Findings

Complete gauge transformation sets derived for both models.

Clarification of gauge invariance structure in these models.

Method applicable to other gauge-invariant theories.

Abstract

We show how to systematically derive the complete set of the gauge transformations of different types of the gauge invariant models, which are the chiral Schwinger and CP$^1$ with Chern-Simons term, in the Lagrangian Formalism.