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All Order Classical Electromagnetic Soft Theorems

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arxiv 2501.07328 v1 pith:JIHKJ7LY submitted 2025-01-13 hep-th

Debanjan Karan , Babli Khatun , Biswajit Sahoo , Ashoke Sen This is my paper · ORCID
classification hep-th
keywords wave-formearlyelectromagneticlateobjectschargesclassicalincoming
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If a set of charged objects collide in space and the fragments disperse, then this process will emit electromagnetic waves. Classical soft photon theorem determines the constant term and the leading power law fall-off of the wave-form at late and early times in terms of only the momenta and charges of the incoming and outgoing objects. In this paper we determine an infinite set of subleading terms in the late and early time expansion of the wave-form, which also depend only on the momenta and charges of the incoming and outgoing particles. For two-particle scattering, we derive a resummed low-frequency electromagnetic wave-form, as well as the resummed wave-form at early and late times. In this analysis we ignore the effect of long range gravitational interaction, but our result is unaffected by any other short range interactions among the objects.

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Cited by 5 Pith papers

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

  1. Logarithmic Soft Photon Theorem and Waveform Tails in Higher Dimensions

    hep-th 2026-08 conditional novelty 7.0 of 10

    In d>4, soft photon emission acquires a universal omega^{d-4} ln omega factor, producing power-law early- and late-time radiative tails in the classical electromagnetic waveform.

  2. Memory effect from the scattering of Taub-NUT black holes

    hep-th 2026-03 conditional novelty 7.0 of 10

    Soft theorems yield a gauge-invariant nutty soft factor and the associated memory tensor for Kerr-Taub-NUT scattering, with magnetic components and directional divergences absent in electromagnetism.

  3. Exact Infrared Triangle in Massless sQED with Long-range Interactions

    hep-th 2025-12 conditional novelty 7.0 of 10

    In massless scalar QED, the divergent-superphaserotation charge is exactly zero at logarithmic order, making the logarithmic infrared triangle trivial (vanishing soft theorem, charge, and memory tail).

  4. Subleading Asymptotic Charges in Massless Scalar QED

    hep-th 2026-08 conditional novelty 6.0 of 10

    In massless scalar QED with 1/u tail data, three conserved asymptotic charges exist at null infinity; one is new and is conjecturally tied to large gauge transformations that diverge linearly in retarded time.

  5. Waveform, memory and classical soft scalar theorems

    hep-th 2025-02 conditional novelty 6.0 of 10

    For massless scalar-mediated scattering, the entire late-time and early-time expansion of the scalar waveform is determined by the particles' asymptotic momenta and charges, with an explicit all-order formula for two-...

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