Phase Transition in Topologically Massive QED

Abstract

There is chiral like symmetry for 4-component massless fermion in (2+1)-dimensional gauge theory.Since QED 3 with Chern-Simons term contains vortex solution for vector potential,one may expect vortex driven phase transition as Kosterlitz-Thouless type where chiral condensate is washed away at zero temperature.To study this possibility,we evaluate the fermion propagator by Dyson-Schwinger equation numerically and spectral function analytically in the Landau gauge.For quenched case we adopt Ball-Chiu vertex to keep gauge invariance of the results.The critical value of topological mass,above which chiral condensate washed away, turned out to be O(10 −2 )e 2 at least for weak coupling in both cases.