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Asymptotic charges in massless QED revisited: A view from Spatial Infinity

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arxiv 1810.04619 v1 pith:IRZ5W3O4 submitted 2018-10-10 hep-th gr-qc

Miguel Campiglia , Alok Laddha This is my paper · ORCID
classification hep-thgr-qc
keywords hierarchyasymptoticchargessofttheoremsentireequivalencelevel
verification ladder T0 review T1 audit T2 compute T3 formal
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Hamada and Shiu have recently shown that tree level amplitudes in QED satisfy an infinite hierarchy of soft photon theorems, the first two of which are Weinberg and Low's theorems respectively. In this paper we propose that in tree level massless QED, this entire hierarchy is equivalent to a hierarchy of (asymptotic) conservation laws. We prove the equivalence explicitly for the case of sub-subleading soft photon theorem and give substantial evidence that the equivalence continues to hold for the entire hierarchy. Our work also brings out the (complimentary) relationship between the asymptotic charges associated to soft theorems and the well known Newman-Penrose charges.

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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. Infinite Symmetry Algebras in Four-Dimensional Conformal Field Theories

    hep-th 2026-07 conditional novelty 7.0 of 10

    Universal light-ray operators from the stress tensor generate the wedge subalgebra of w_{1+∞} in generic interacting 4D CFTs, with finite one-point functions matching the full tower of soft graviton and gluon factors.

  3. 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.

  4. Scalar, vector and tensor fields on $dS_3$ with arbitrary sources: harmonic analysis and antipodal maps

    hep-th 2025-12 unverdicted novelty 6.0 of 10

    Scalar, vector, and tensor spherical harmonics on dS3 are constructed with explicit antipodal relationships between past and future asymptotic data, even with sources, plus decomposition theorems for tensors obeying i...

  5. Lectures on Carrollian Holography

    hep-th 2025-11 conditional novelty 3.0 of 10

    Massless scattering amplitudes, including gravitons, can be recast as correlators of a carrollian conformal field theory on null infinity, but the non-perturbative bootstrap program remains incomplete.

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