Physical Variables of $d=3$ Maxwell-Chern-Simons Theory by Symplectic Projector Method

TL;DR

This paper applies the Symplectic Projector Method to analyze the physical degrees of freedom and Hamiltonian of 3D Maxwell-Chern-Simons theory, confirming previous results with a new approach.

Contribution

It introduces the Symplectic Projector Method to derive physical variables and Hamiltonian in Maxwell-Chern-Simons theory, providing an alternative to existing methods.

Findings

Physical degrees of freedom identified

Physical Hamiltonian derived

Results consistent with previous literature

Abstract

The Symplectic Projector Method is applied to derive the local physical degrees of freedom and the physical Hamiltonian of the Maxwell-Chern-Simons theory in $d=1+2$. The results agree with the ones obtained in the literature through different approaches.