Off-shell Green functions at one-loop level in Maxwell-Chern-Simons quantum electrodynamics
Y. Concha-Sanchez, A. Raya, M. E. Tejeda-Yeomans
TL;DR
This paper derives the off-shell photon propagator and fermion-photon vertex at one-loop level in Maxwell-Chern-Simons QED, providing new integral evaluations in arbitrary dimensions and gauges.
Contribution
It introduces new integral basis functions for off-shell Green functions in Maxwell-Chern-Simons QED, extending previous results to arbitrary dimensions and gauges.
Findings
Derived off-shell photon propagator and vertex functions
Evaluated new basis integrals in arbitrary dimensions
Reproduced known results as special cases
Abstract
We derive the off-shell photon propagator and fermion-photon vertex at one-loop level in Maxwell-Chern-Simons quantum electrodynamics in arbitrary covariant gauge, using four-component spinors with parity-even and parity-odd mass terms for both fermions and photons. We present our results using a basis of two, three and four point integrals, some of them not known previously in the literature. These integrals are evaluated in arbitrary space-time dimensions so that we reproduce results derived earlier under certain limits.
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