Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-11-19
J.Phys.A41:505401,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
13 pages, 4 figures. Published version. V2, References corrected
Scientific paper
10.1088/1751-8113/41/50/505401
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.
Bashir Adnan
Raya Alfredo
Sanchez-Madrigal Saul
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