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Landau-Khalatnikov-Fradkin transformation in three-dimensional quenched QED

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arxiv 2006.09315 v2 pith:XB64ZWZ6 submitted 2020-06-16 hep-th

V.P. Gusynin , A.V. Kotikov , S. Teber This is my paper · ORCID
classification hep-th
keywords quenchedperturbativethree-dimensionalassumingcoefficientsdimensionalelectrodynamicsexactly
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We study the gauge-covariance of the massless fermion propagator in three-dimensional quenched Quantum Electrodynamics in the framework of dimensional regularization in d=3-2\ep. Assuming the finiteness of the quenched perturbative expansion, that is the existence of the limit \ep \to 0, we state that, exactly in d=3, all odd perturbative coefficients, starting with the third order one, should be zero in any gauge.

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  1. Landau-Khalatnikov-Fradkin Transformations in Quantum Electrodynamics: For Perturbation Theory and Dynamical Mass Generation

    hep-ph 2025-02 conditional novelty 5.0 of 10

    The gauge-dependent parts of the QED fermion propagator at two loops are derived in QED3 and QED4 via Landau-Khalatnikov-Fradkin transformations, and a representative dynamical mass solution is shown to have gauge-ind...

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