Abstract
We study the damping rate of massless Dirac fermions due to the U ( 1 ) gauge field in ( 2 + 1 ) -dimensional quantum electrodynamics. In the absence of a Maxwell term for the gauge field, the fermion damping rate Im Σ ( ω , T ) is found to diverge in both perturbative and self-consistent results. In the presence of a Maxwell term, there is still divergence in the perturbative results for Im Σ ( ω , T ) . Once the Maxwell term is included into the self-consistent equations for fermion self-energy and vacuum polarization functions, the fermion damping rate is free of divergence and exhibits non-Fermi liquid behavior: Im Σ ( ω , T ) ∝ max ( ω , T ) .
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