Dynamical parity violation in QED3 with a two-component massless fermion☆

Abstract In QED 3 with a single two-component massless fermion, we investigate a dynamical effect on the parity symmetry using the truncated Schwinger-Dyson equation. In a lowest ladder approximation and the Landau gauge, there is no divergence and we find a non-trivial solution by a numerical method. Thus the parity symmetry is broken dynamically.