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The Euler-Heisenberg Lagrangian beyond one loop

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arxiv 1112.1049 v1 pith:PH2CDY35 submitted 2011-12-05 hep-th

Idrish Huet , Michel Rausch de Traubenberg , Christian Schubert This is my paper · ORCID
classification hep-th
keywords euler-heisenberglagrangiancorrectionsloopamplitudesanalogueapproximationbeyond
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We review what is presently known about higher loop corrections to the Euler-Heisenberg Lagrangian and its Scalar QED analogue. The use of those corrections as a tool for the study of the properties of the QED perturbation series is outlined. As a further step in a long-term effort to prove or disprove the convergence of the N photon amplitudes in the quenched approximation, we present a parameter integral representation of the three-loop Euler-Heisenberg Lagrangian in 1+1 dimensional QED, obtained in the worldline formalism.

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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. A Guide to Functional Methods Beyond One-Loop Order

    hep-ph 2024-12 conditional novelty 7.0 of 10

    Functional methods are generalized to two-loop EFT matching and running with manifest gauge covariance, and the hard-region matching formula is proven to all loop orders.

  2. Propagator from Nonperturbative Worldline Dynamics

    hep-th 2019-08 reject novelty 6.0 of 10

    Worldline Monte Carlo with a fitted potential PDF gives an all-orders quenched propagator for S2QED, with a pole mass that drops toward zero near a critical coupling around 0.72.

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