Gauge invariances of higher derivative Maxwell-Chern-Simons field theory -- a new Hamiltonian approach

TL;DR

This paper introduces a new Hamiltonian method to identify gauge invariances in higher derivative field theories, demonstrated on the Maxwell-Chern-Simons model, establishing a precise link between Hamiltonian gauge transformations and U(1) symmetries.

Contribution

It applies a novel Hamiltonian approach to higher derivative field theories, providing a clear construction of gauge generators and mapping to U(1) symmetries.

Findings

Successfully constructed gauge generators for the model

Established exact correspondence between Hamiltonian gauge transformations and U(1) symmetries

Provided a new Hamiltonian analysis of the Maxwell-Chern-Simons model

Abstract

A new method of abstracting the independent gauge invariances of higher derivative systems, recently introduced in [1], has been applied to higher derivative field theories. This has been discussed taking the extended Maxwell-Chern-Simons model as an example. A new Hamiltonian analysis of the model is provided. This Hamiltonian analysis has been used to construct the independent gauge generator. An exact mapping between the Hamiltonian gauge transformations and the U(1) symmetries of the action has been established.