Gauge covariance relations and the fermion propagator in Maxwell–Chern–Simons QED3

DOI10.1088/1751-8113/41/50/505401zbMATH Open1154.81371arXiv0811.3050OpenAlexW3100492820MaRDI QIDQ5503589

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Publication date: 15 January 2009

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Abstract: We study the gauge covariance of the fermion propagator in Maxwell-Chern-Simons planar quantum electrodynamics (QED${}_3$) considering four-component spinors with parity-even and parity-odd mass terms both for fermions and photons. Starting with its tree level expression in the Landau gauge, we derive a non perturbative expression for this propagator in an arbitrary covariant gauge by means of its Landau-Khalatnikov-Fradkin transformation (LKFT). We compare our findings in the weak coupling regime with the direct one-loop calculation of the two-point Green function and observe perfect agreement up to a gauge independent term. We also reproduce results derived in earlier works as special cases of our findings.

Full work available at URL: https://arxiv.org/abs/0811.3050

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