The Holographic Soft $S$-Matrix in QED and Gravity

Abstract

At leading order, the $S$-matrices in QED and gravity are known to factorise, providing unambiguous determinations of the parts divergent due to infrared contributions. The soft $S$-matrices defined in this fashion are shown to be defined entirely in terms of $2$ dimensional models on the celestial sphere, involving two real scalar fields, allowing us to express the soft $S$-matrices for real as well as virtual divergences as two dimensional correlation functions. We discuss what this means for finding holographic representations of scattering amplitudes in QED and gravity and comment on simple double copy structures that arise during the analysis.

arXiv commentv2: 15 pages, minor corrections

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Cited by in corpus (10)

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• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
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• Celestial operator products from the worldsheet
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• Celestial Holography
• Spin Multipole Expansion of the Memory Effect
• Holographic Representations of Supertranslation Eigenstates