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arxiv: 1511.05087 · v1 · submitted 2015-11-16 · ✦ hep-ph · hep-th

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Multiphoton amplitudes and generalized LKF transformation in Scalar QED

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classification ✦ hep-ph hep-th
keywords scalaramplitudesgaugenon-perturbativetransformationarbitrarycovariantpropagator
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We apply the worldline formalism to amplitudes in scalar quantum electrodynamics (QED) involving open scalar lines, with an emphasis on their non-perturbative gauge dependence. At the tree-level, we study the scalar propagator interacting with any number of photons in configuration space as well as in momentum space. At one-loop we rederive, in an efficient way, the off-shell vertex in an arbitrary dimension and any covariant gauge. Generalizing the Landau-Khalatnikov-Fradkin transformation (LKFT) for the non-perturbative propagator, we find simple non-perturbative transformation rules for arbitrary x-space amplitudes under a change of the covariant gauge parameter in terms of conformal cross ratios.

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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.