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arxiv: 1610.06436 · v1 · submitted 2016-10-19 · ✦ hep-th · nucl-th

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Landau-Khalatnikov-Fradkin transformation for the fermion propagator in QED in arbitrary dimensions

Shaoyang Jia , M.R. Pennington
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classification ✦ hep-th nucl-th
keywords fermionlkftdimensionsgaugelandau-khalatnikov-fradkinpropagatortransformationachieved
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We explore the dependence of fermion propagators on the covariant gauge fixing parameter in quantum electrodynamics (QED) with the number of spacetime dimensions kept explicit. Gauge covariance is controlled by the the Landau-Khalatnikov-Fradkin transformation (LKFT). Utilizing its group nature, the LKFT for a fermion propagator in Minkowski space is solved exactly. The special scenario of 3D is used to test claims made for general cases. When renormalized correctly, a simplification of the LKFT in 4D has been achieved with the help of fractional calculus.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Landau-Khalatnikov-Fradkin Transformations in Reduced Quantum Electrodynamics: Perturbative and Nonperturbative Dynamics of the Fermion Propagator

    hep-th 2026-05 unverdicted novelty 6.0

    LKF transformations give all-order gauge-transformed fermion propagators in RQED, with ξ=1/3 eliminating one-loop leading logs and numerical checks confirming gauge-invariant condensate and pole mass.