Influence of Fermion Velocity Renormalization on Dynamical Mass Generation in QED$_3$

TL;DR

This paper investigates how fermion velocity renormalization affects dynamical mass generation in (2+1)D QED, showing that velocity renormalization enhances mass generation even with scalar bosons present.

Contribution

It introduces the calculation of fermion velocity renormalization in QED3 with scalar bosons and demonstrates its impact on dynamical mass generation.

Findings

Dynamical mass generation occurs with small scalar boson compressibility.

Fermion velocity renormalization enhances the dynamically generated mass.

Mass generation persists despite inclusion of scalar bosons.

Abstract

We study dynamical fermion mass generation in (2+1)-dimensional quantum electrodynamics with a gauge field coupling to massless Dirac fermions and non-relativistic scalar bosons. We calculate the fermion velocity renormalization and then examine its influence on dynamical mass generation by using the Dyson-Schwinger equation. It is found that dynamical mass generation takes place even after including the scalar bosons as long as the bosonic compressibility parameter $\xi$ is sufficiently small. In addition, the fermion velocity renormalization enhances the dynamically generated mass.