A first-class approach of higher derivative Maxwell-Chern-Simons Proca model

TL;DR

This paper explores the equivalence of a higher derivative Maxwell-Chern-Simons Proca model with gauge-invariant theories using Hamiltonian path integral quantization, emphasizing Lorentz covariance.

Contribution

It demonstrates the gauge invariance and Lorentz covariance of the higher derivative model through Hamiltonian path integral analysis.

Findings

Establishes equivalence between higher derivative and gauge-invariant theories

Provides Lorentz-covariant Hamiltonian path integral formulations

Clarifies the gauge-unfixing approach in this context

Abstract

The equivalence between a higher derivative extension of Maxwell-Chern-Simons Proca model and some gauge invariant theories from the point of view of the Hamiltonian path integral quantization in the framework of gauge-unfixing approach is investigated. The Hamiltonian path integrals of the first-class systems take manifestly Lorentz-covariant forms.