Infrared physics of QED and gravity from representation theory

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Hauptverfasser: Donnay, Laura, Herfray, Yannick
Format: Preprint
Veröffentlicht: 2026
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author Donnay, Laura
Herfray, Yannick
author_facet Donnay, Laura
Herfray, Yannick
contents The infrared structure of QED and gravity is known to be governed by an infinite-dimensional symmetry group which extends the Poincaré group to include, respectively, large $U(1)$ transformations and BMS supertranslations. We describe how the unitary irreducible representations (UIRs) of these asymptotic symmetry groups encode universal infrared features of a scattering process. Motivated by the goal of defining an infrared-finite $S$-matrix based on these UIRs, we also study supermomentum eigenstates and contrast our construction with the dressed-state approach for infrared-safe amplitudes.
format Preprint
id arxiv_https___arxiv_org_abs_2603_06297
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Infrared physics of QED and gravity from representation theory
Donnay, Laura
Herfray, Yannick
High Energy Physics - Theory
General Relativity and Quantum Cosmology
The infrared structure of QED and gravity is known to be governed by an infinite-dimensional symmetry group which extends the Poincaré group to include, respectively, large $U(1)$ transformations and BMS supertranslations. We describe how the unitary irreducible representations (UIRs) of these asymptotic symmetry groups encode universal infrared features of a scattering process. Motivated by the goal of defining an infrared-finite $S$-matrix based on these UIRs, we also study supermomentum eigenstates and contrast our construction with the dressed-state approach for infrared-safe amplitudes.
title Infrared physics of QED and gravity from representation theory
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2603.06297