Infrared behavior of dynamical fermion mass generation in QED${}_3$

Abstract

Extensive investigations show that QED${}_3$ exhibits dynamical fermion mass generation at zero temperature when the fermion flavor $N$ is sufficiently small. However, it seems difficult to extend the theoretical analysis to finite temperature. We study this problem by means of Dyson-Schwinger equation approach after considering the effect of finite temperature or disorder-induced fermion damping. Under the widely used instantaneous approximation, the dynamical mass displays an infrared divergence in both cases. We then adopt a new approximation that includes an energy-dependent gauge boson propagator and obtain results for dynamical fermion mass that do not contain infrared divergence. The validity of the new approximation is examined by comparing to the well-established results obtained at zero temperature.

15 pages, 6 figures, to appear on Phys. Rev. D

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Cited by in corpus (2)

• Excitonic pairing and insulating transition in two-dimensional semi-Dirac semimetals
• Renormalization of fermion velocity in finite temperature QED_{3}