Dynamical Mass and Parity Condensate in Varying Topological Mass

TL;DR

This paper explores how a topological mass influences the dynamical mass and parity condensate of fermions in Maxwell-Chern-Simons QED3, using non-perturbative Schwinger-Dyson equations.

Contribution

It provides a detailed non-perturbative analysis of the relationship between theories with and without Chern-Simons terms, especially in the limit of vanishing topological mass.

Findings

Dynamical mass and parity condensate are affected by the topological mass.

A non-perturbative link between theories with and without Chern-Simons term is established.

Behavior in the zero topological mass limit is clarified.

Abstract

We investigate how a dynamical mass of a fermion is affected by a topological mass of a gauge field in a Maxwell-Chern-Simons $QED_3$ coupled with a two-component fermion. The dynamical mass and also a parity condensate are estimated by using a non-perturbative Schwinger-Dyson method. In particular, we study a limit of vanishing the topological mass in detail and clarify a linking between theories with and without a Chern-Simons term in a non-perturbative level.