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Truncated Schwinger-Dyson Equations and Gauge Covariance in QED3

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arxiv hep-ph/0511291 v3 pith:7OS67V3P submitted 2005-11-24 hep-ph cond-mat.otherhep-th

Truncated Schwinger-Dyson Equations and Gauge Covariance in QED3

classification hep-ph cond-mat.otherhep-th
keywords gaugelkftmassqed3approximationcheckchiralcompared
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the Landau-Khalatnikov-Fradkin transformations (LKFT) in momentum space for the dynamically generated mass function in QED3. Starting from the Landau gauge results in the rainbow approximation, we construct solutions in other covariant gauges. We confirm that the chiral condensate is gauge invariant as the structure of the LKFT predicts. We also check that the gauge dependence of the constituent fermion mass is considerably reduced as compared to the one obtained directly by solving SDE.

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  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.