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Landau-Khalatnikov-Fradkin transformation of the fermion propagator in massless reduced QED

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arxiv 1912.05982 v2 pith:SEWWNTHO submitted 2019-12-12 hep-th cond-mat.mes-hallhep-ph

classification hep-thcond-mat.mes-hallhep-ph
keywords fermiongaugereducedlandau-khalatnikov-fradkinmasslesspropagatortransformationagreement
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We study the gauge-covariance of the massless fermion propagator in reduced Quantum Electrodynamics (QED). Starting from its value in some gauge, we evaluate an all order expression for it in another gauge by means of the Landau-Khalatnikov-Fradkin transformation. We find that the weak coupling expansions thus derived are in perfect agreement with the exact calculations. We also prove that the fermion anomalous dimension of reduced QED is gauge invariant to all orders of perturbation theory except for the first one.

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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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