Gauge-covariant solution for the Schwinger–Dyson equation in 3D QED with a Chern–Simons term
- Hoshino, YuichiKushiro National College of Technology, Otanoshike-Nishi 2-32-1, Kushiro 084-0916, Japan
- Inagaki, Tomohiro(Information Media Center, Hiroshima University, Higashi-Hiroshima 739-8521, Japan)
- Mizutani, Yuichi(Information Media Center, Hiroshima University, Higashi-Hiroshima 739-8521, Japan)
Publication date
October 2015
DOIAbstract
An Abelian gauge theory with a Chern–Simons (CS) term is investigated for a four-component Dirac fermion in 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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