Hamiltonian Embedding of Self-Dual Model and Equivalence with Maxwell-Chern-Simons Theory

TL;DR

This paper demonstrates the equivalence between a self-dual model and the Maxwell-Chern-Simons theory by embedding the former into a first-class Hamiltonian framework using the Batalin-Fradkin approach.

Contribution

It introduces a Hamiltonian embedding method to establish the equivalence between the self-dual model and Maxwell-Chern-Simons theory.

Findings

Self-dual model is equivalent to Maxwell-Chern-Simons theory after embedding.

The Batalin-Fradkin approach effectively converts second-class constraints into first-class.

The embedding clarifies the gauge structure of the models.

Abstract

Following systematically the generalized Hamiltonian approach of Batalin and Fradkin, we demonstrate the equivalence of a self-dual model with the Maxwell-Chern-Simons theory by embedding the former second-class theory into a first-class theory.