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Gauge covariant solution for the Schwinger-Dyson equation in three-dimensional QED with Chern-Simons term

Published 12 Sep 2014 in hep-ph and hep-th | (1409.3629v2)

Abstract: An Abelian gauge theory with Chern-Simons term is investigated for a four-component Dirac fermion in 1+2 dimensions. The Ball-Chiu (BC) vertex function is employed to modify the rainbow-ladder approximation for the Schwinger-Dyson (SD) equation. We numerically solve the SD equation and show the gauge dependence for the resulting phase boundary for the parity and the chiral symmetry.

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