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

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.

arXiv comment16 pages, 7 figures, Published version

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Cited by in corpus (3)

• Higher order derivatives extension of Maxwell-Chern-Simons electrodynamics in the presence of field sources and material boundaries
• A Two-Gauge Field Model for Magnetoelectric Boundaries
• Vortex driven phase transition in Topologically Massive QED