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arXiv · 1409.3629

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

Yuichi Hoshino·Tomohiro Inagaki·Yuichi Mizutani
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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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Yuichi Hoshino, Tomohiro Inagaki, Yuichi Mizutani. 2014-09-12. Gauge covariant solution for the Schwinger-Dyson equation in three-dimensional QED with Chern-Simons term. https://doi.org/10.1093/ptep/ptu182

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