Topological Massive Gauge Theories in Three Dimensions Based on the Faddeev-Jackiw Formalism

TL;DR

This paper applies the Faddeev-Jackiw formalism to quantize (2+1)-dimensional topological gauge theories, specifically self-dual and Maxwell-Chern-Simons models, and compares the results with the Dirac approach.

Contribution

It demonstrates the effectiveness of the Faddeev-Jackiw method in quantizing topological gauge theories and provides a comparison with the traditional Dirac formalism.

Findings

Faddeev-Jackiw formalism successfully quantizes the theories.

Results are consistent with those obtained via Dirac formalism.

Provides insights into the advantages of the Faddeev-Jackiw approach.

Abstract

We quantize the (2+1)-dimensional self-dual and Maxwell-Chern-Simons theories by using the Faddeev-Jackiw formulation and compare the results with those of the Dirac formalism.