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

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.

Comments: 6 pages, 3 figures, Chinese Physics Letter, Vol 29, page 057401(2012)