摘要

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 Sigma(omega, 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 Sigma(omega, T). Once the Maxwell term is included into the self-consistent equation for fermion self-energy and vacuum polarization functions, the fermion damping rage is free of divergence and exhibits non-Fermi liquid behavior: Im Sigma(omega, T) alpha max(root omega, root T).