Nonstatic projection of three-dimensional QED at finite temperature

Abstract

We study a nonstatic projection of (2+1)-dimensional QED obtained by taking all fields to be spatially uniform but time dependent. This projection leads to a (0+1)-dimensional field theory that inherits many of the features of the (2+1)-dimensional model, such as Chern-Simons terms, time-reversal violation, an analogue of parity violation, and global $U(2)$ flavor symmetry. At the one-loop level, interactions induce a Chern-Simons term at finite T with the coefficient $\mathrm{tanh}(\ensuremath{\beta}{m}_{F}/2),$ where ${m}_{F}$ is the fermion mass. The finite temperature two loop self-energies are also computed, and are nonzero for all temperatures.