Batalin-Tyutin Quantization of the (2+1) dimensional nonabelian Chern-Simons field theory

TL;DR

This paper applies the Batalin-Tyutin method to quantize the nonabelian Chern-Simons theory in (2+1) dimensions, resulting in a gauge-invariant extended phase space formulation.

Contribution

It introduces a systematic embedding of second-class constraints into first-class constraints for this theory, deriving a gauge-invariant Wess-Zumino type action.

Findings

Successfully quantized the theory using Batalin-Tyutin method

Derived a gauge-invariant extended phase space action

Provided a systematic approach for nonabelian Chern-Simons quantization

Abstract

The (2+1) dimensional nonabelian Chern-Simons theory coupled to complex scalar fields is quantized by using the Batalin-Tyutin canonical Hamiltonian method which systematically embeds second-class constraint system into first-class one. We obtain the gauge-invariant nonabelian Wess-Zumino type action in the extended phase space.