Logarithmic soft graviton theorems from superrotation Ward identities

Shreyansh Agrawal (International School for Advanced Studies (SISSA), Via Bonomea 265, Trieste, 34136, Italy; Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Trieste, Via Valerio 2, Trieste, 34127, Italy) ; Laura Donnay (International School for Advanced Studies (SISSA), Via Bonomea 265, Trieste, 34136, Italy; Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Trieste, Via Valerio 2, Trieste, 34127, Italy) ; Kevin Nguyen (Department of Mathematics, King’s College London, The Strand, London, WC2R 2LS, UK) ; Romain Ruzziconi (Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford, OX2 6GG, UK)

Soft graviton theorems receive one-loop contributions that are logarithmic in the energy of the soft graviton, and which are closely related to tails of gravitational waveforms. We demonstrate that these logarithmic corrections are encoded in the Ward identity of superrotation symmetries, i.e. they follow from conservation of superrotation charge across spatial infinity i 0. Our proof relies on a careful analysis of the radiative phase space admitting such gravitational tails, and the determination of the fluxes through null infinity I $$ \mathcal{I} $$ that act as canonical generators of superrotations on both gravitational and matter fields. All logarithmic terms are derived from the fluxes through correlations of the supertranslation Goldstone mode, provided care is taken in manipulating gravitationally interacting (i.e. dressed) rather than free fields. In cases where massive particles take part in the scattering process, logarithmic corrections also partly arise from the superrotation charge generator at timelike infinity i ± .

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      "source": "Springer", 
      "value": "Soft graviton theorems receive one-loop contributions that are logarithmic in the energy of the soft graviton, and which are closely related to tails of gravitational waveforms. We demonstrate that these logarithmic corrections are encoded in the Ward identity of superrotation symmetries, i.e. they follow from conservation of superrotation charge across spatial infinity i 0. Our proof relies on a careful analysis of the radiative phase space admitting such gravitational tails, and the determination of the fluxes through null infinity   <math> <mi>I</mi> </math>  $$ \\mathcal{I} $$  that act as canonical generators of superrotations on both gravitational and matter fields. All logarithmic terms are derived from the fluxes through correlations of the supertranslation Goldstone mode, provided care is taken in manipulating gravitationally interacting (i.e. dressed) rather than free fields. In cases where massive particles take part in the scattering process, logarithmic corrections also partly arise from the superrotation charge generator at timelike infinity i  \u00b1 ."
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Published on:
16 February 2024
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2024 (2024)
Issue 2
Pages 1-18
DOI:
https://doi.org/10.1007/JHEP02(2024)120
arXiv:
2309.11220
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: