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An Exact QED_{3+1} Effective Action

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arxiv hep-th/9710062 v1 pith:UNH3X4A3 submitted 1997-10-07 hep-th

Gerald Dunne , Theodore M. Hall This is my paper · ORCID
classification hep-th
keywords actioneffectiveexactexpansionderivativeresultsagreeall-orders
verification ladder T0 review T1 audit T2 compute T3 formal
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We compute the exact QED_{3+1} effective action for fermions in the presence of a family of static but spatially inhomogeneous magnetic field profiles. An asymptotic expansion of this exact effective action yields an all-orders derivative expansion, the first terms of which agree with independent derivative expansion computations. These results generalize analogous earlier results by Cangemi et al in QED_{2+1}.

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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. Resurgence of the Effective Action in Inhomogeneous Fields

    hep-th 2022-12 unverdicted novelty 7.0 of 10

    Inhomogeneous background fields convert Borel poles in the effective action to branch points and introduce new ones, allowing resurgent extrapolation to recover non-perturbative information from perturbative input mor...

  2. QCD Vacuum in an Inhomogeneous Magnetic Field

    hep-ph 2026-08 conditional novelty 6.0 of 10

    In chiral perturbation theory, the QCD vacuum responds nonlocally to an inhomogeneous magnetic field, yielding parameter-free NLO predictions for the free energy, chiral condensate, and an induced vacuum current.

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