Topological Mass vs. Dynamical Mass: Novelty in (2+1)-dimensional Space-Time

TL;DR

This paper explores how topological mass introduced by the Chern-Simons term influences the dynamical mass generation of fermions in a (2+1)-dimensional quantum field theory, using non-perturbative Schwinger-Dyson equations.

Contribution

It provides a detailed analysis of the interplay between topological and dynamical masses in (2+1)D gauge theories, highlighting the novel effects of the Chern-Simons term.

Findings

Topological mass modifies the fermion dynamical mass generation.

The Chern-Simons term affects the non-perturbative behavior of fermions.

New insights into gauge symmetry preservation with topological mass.

Abstract

The restriction of space-time dimensions to "2+1" leads us to a novel quantum field theory which has the Chern-Simons term in its action. This term changes the nature of gauge interaction by giving a so-called topological mass to a gauge field without breaking the gauge symmetry. We investigate how a dynamical mass of fermion is affected by the topological mass in the non-perturbative Schwinger-Dyson method.