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

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 $ξ$ is sufficiently small. In addition, the fermion velocity renormalization enhances the dynamically generated mass.

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