Batalin-Tyutin Quantization of the Self-Dual Massive Theory in Three Dimensions

TL;DR

This paper applies the Batalin-Tyutin Hamiltonian method to quantize the self-dual massive theory in three dimensions, revealing new gauge-invariant structures and connections to Chern-Simons terms.

Contribution

It introduces a systematic Hamiltonian approach to embed second class constraints into first class ones, deriving related St"uckelberg and Wess-Zumino actions.

Findings

Derived the St"uckelberg scalar term for gauge invariance

Identified a new Wess-Zumino action linked to the Chern-Simons term

Demonstrated the embedding of constraints in the extended phase space

Abstract

We quantize the self-dual massive theory by using the Batalin-Tyutin Hamiltonian method, which systematically embeds second class constraint system into first class one in the extended phase space by introducing the new fields. Through this analysis we obtain simultaneously the St\"uckelberg scalar term related to the explicit gauge-breaking effect and the new type of Wess-Zumino action related to the Chern-Simons term.