A Comment on Loop Corrections to the Celestial Stress Tensor

Pasterski, Sabrina

doi:10.48550/arxiv.2205.10901

Cited by 2 publications

(2 citation statements)

References 62 publications

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“…The scattering amplitude community is thriving, and this link made by the celestial holography proposal is opening the door to a deep exchange of knowledge, with fruitful results for both sides, see the non-exhaustive list of works in this direction [513][514][515][516][517][518][519][520][521][522][523][524][525][526][527]. Loop corrections to the celestial amplitude have been studied in [528][529][530][531][532], while double-copy techniques have been applied to this problem in [533][534][535][536]. The infrared triangle is just the visible tip of a much deeper iceberg.…”

Section: Pos(modave2022)002mentioning

confidence: 99%

From Asymptotic Symmetries to the Corner Proposal

Ciambelli¹

2023

Proceedings of Modave Summer School in Mathematical Physics — PoS(Modave2022)

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These notes are a transcript of lectures given by the author in the XVIII Modave summer school in mathematical physics. The introduction is devoted to a detailed review of the literature on asymptotic symmetries, flat holography, and the corner proposal. It covers much more material than needed, for it is meant as a lamppost to help the reader in navigating the vast existing literature. The notes then consist of three main parts. The first is devoted to Noether's theorems and their underlying framework, the covariant phase space formalism, with special focus on gauge theories. The surface-charges algebra is shown to projectively represent the asymptotic symmetry algebra. Issues arising in the gravitational case, such as conservation, finiteness, and integrability, are addressed. In the second part, we introduce the geometric concept of corners, and show the existence of a universal asymptotic symmetry group at corners. A careful treatment of corner embeddings provides a resolution to the issue of integrability, by extending the phase space. In the last part we bridge asymptotic symmetries and corners by formulating the corner proposal. In essence, the latter focuses on the central question of extracting from classical gravity universal results that are expected to hold in the quantum realm. After reviewing the coadjoint orbit method and Atiyah Lie algebroids, we apply these concepts to the corner proposal. Exercises are solved in the notes, to elucidate the arguments exposed.

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Section: Pos(modave2022)002mentioning

confidence: 99%

From Asymptotic Symmetries to the Corner Proposal

Ciambelli¹

2023

Proceedings of Modave Summer School in Mathematical Physics — PoS(Modave2022)

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“…In gravitational theories, such effects are intimately tied to the fundamental properties of CCFT via the stress tensor. This has been explored in[35][36][37].…”

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Loop-level gluon OPEs in celestial holography

Bhardwaj

Lippstreu

Ren

et al. 2022

J. High Energ. Phys.

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We compute one-loop corrections to the OPE of gluons in the celestial conformal field theory corresponding to Yang-Mills coupled to arbitrary matter. We exploit universal hard/soft factorization to derive an IR finite OPE for the hard gluon operators. This OPE involves logarithms and operators that resemble logarithmic partners of primary operators. We derive an exact all-loop OPE in a limit of the Higgs-regulated planar $$ \mathcal{N} $$ N = 4 super Yang-Mills theory.

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A Comment on Loop Corrections to the Celestial Stress Tensor

Cited by 2 publications

References 62 publications

From Asymptotic Symmetries to the Corner Proposal

From Asymptotic Symmetries to the Corner Proposal

Loop-level gluon OPEs in celestial holography

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