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Analytic Form of the One-loop Vertex and of the Two-loop Fermion Propagator in 3-Dimensional Massless QED

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arxiv hep-ph/9907418 v1 pith:YRB4ABDG submitted 1999-07-19 hep-ph

A. Bashir , A. Kizilersu , M.R. Pennington This is my paper · ORCID
classification hep-ph
keywords vertexpartanalyticevaluatefermionformmasslessone-loop
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We evaluate the analytic expression for the one-loop fermion-boson vertex in massless QED3 in an arbitrary covariant gauge. The result is written in terms of elementary functions of its momenta. The vertex is decomposed into a longitudinal part, that is fully responsible for ensuring the Ward and Ward-Takahashi identities are satisfied, and a transverse part. Following Ball and Chiu and K{\i}z{\i}lers\"{u} {\it et. al.}, the transverse part is written in its most general form as a function of 4 independent vectors. We calculate the coefficients of each of these vectors. We also check the transversality condition to two loops and evaluate the fermion propagator to the same order. We compare our results with a conjecture of the non-perturbative vertex by Tjiang and Burden.

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Cited by 2 Pith papers

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

  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 of 10

    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.

  2. 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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