English

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

High Energy Physics - Phenomenology 2015-02-11 v2 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.1409.3629,
  title  = {Gauge covariant solution for the Schwinger-Dyson equation in three-dimensional QED with Chern-Simons term},
  author = {Yuichi Hoshino and Tomohiro Inagaki and Yuichi Mizutani},
  journal= {arXiv preprint arXiv:1409.3629},
  year   = {2015}
}

Comments

16 pages, 7 figures, Published version