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Celestial IR divergences and the effective action of supertranslation modes

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arxiv 2105.10526 v1 pith:OKBUXKP2 submitted 2021-05-21 hep-th gr-qc

Kevin Nguyen , Jakob Salzer This is my paper · ORCID
classification hep-thgr-qc
keywords celestialactiondivergenceseffectiveinfraredfunctionsupertranslationtwo-point
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Infrared divergences in perturbative gravitational scattering amplitudes have been recently argued to be governed by the two-point function of the supertranslation Goldstone mode on the celestial sphere. We show that the form of this celestial two-point function simply derives from an effective action that also controls infrared divergences in the symplectic structure of General Relativity with asymptotically flat boundary conditions. This effective action finds its natural place in a path integral formulation of a celestial conformal field theory, as we illustrate by re-deriving the infrared soft factors in terms of celestial correlators. Our analysis relies on a well-posed action principle close to spatial infinity introduced by Comp\`ere and Dehouck.

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Cited by 3 Pith papers

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

  1. Soft gravitons in three dimensions

    hep-th 2024-11 conditional novelty 7.0 of 10

    Three-dimensional flat-space gravity, despite having no propagating gravitons, exhibits an infrared triangle: a soft graviton theorem, BMS3 asymptotic symmetries, and gravitational memory effects, all equivalent throu...

  2. Effective density matrix for vacua in asymptotically flat gravity

    hep-th 2025-09 conditional novelty 5.0 of 10

    The vacuum of a large causal diamond in asymptotically flat gravity is claimed to be a Gaussian in the supertranslation Goldstone mode, giving modular Hamiltonian variance A/epsilon squared.

  3. 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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