On the Equivalence of the Maxwell-Chern-Simons Theory and a Self-Dual Model

TL;DR

This paper explores the theoretical equivalence between the Maxwell-Chern-Simons theory and a self-dual model using phase-space path integrals, highlighting their connection and addressing ambiguities in their relationship.

Contribution

It demonstrates the equivalence of the two models through phase-space path integral analysis, clarifying their relationship in quantum field theory.

Findings

Established the equivalence between Maxwell-Chern-Simons and self-dual models

Analyzed the connection via phase-space path integral representation

Addressed time-ordering ambiguities in the models' relationship

Abstract

We study the connection between the Green functions of the Maxwell-Chern-Simons theory and a self-dual model by starting from the phase-space path integral representation of the Deser-Jackiw master Lagrangian. Their equivalence is established modulo time-ordering ambiguities.