Gauge Covariance Relations and the Fermion Propagator in Maxwell-Chern-Simons QED3

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.

13 pages, 4 figures. Published version. V2, References corrected

References in corpus (2)

• Unconventional Integer Quantum Hall effect in graphene
• Massive Dirac fermions and the zero field quantum Hall effect

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