Unifying soft and hard dynamics: The hard current algebra in celestial holography

Fuente: arXiv
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Main Authors: Liu, Reiko, Ma, Wen-Jie
Format: Preprint
Published: 2026
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author Liu, Reiko
Ma, Wen-Jie
author_facet Liu, Reiko
Ma, Wen-Jie
contents Soft current algebras capture the infrared structure of scattering in asymptotically flat spacetimes, but an analogous algebraic description of finite-energy dynamics has been missing. We uncover an infinite-dimensional hard current algebra that encodes finite-energy contributions to scattering and implies novel Ward identities. The soft current algebras are not independent but arise naturally from the hard ones. This provides a unified algebraic framework underlying quantum theory in flat spacetime.
format Preprint
id arxiv_https___arxiv_org_abs_2601_10601
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Unifying soft and hard dynamics: The hard current algebra in celestial holography
Liu, Reiko
Ma, Wen-Jie
High Energy Physics - Theory
Soft current algebras capture the infrared structure of scattering in asymptotically flat spacetimes, but an analogous algebraic description of finite-energy dynamics has been missing. We uncover an infinite-dimensional hard current algebra that encodes finite-energy contributions to scattering and implies novel Ward identities. The soft current algebras are not independent but arise naturally from the hard ones. This provides a unified algebraic framework underlying quantum theory in flat spacetime.
title Unifying soft and hard dynamics: The hard current algebra in celestial holography
topic High Energy Physics - Theory
url https://arxiv.org/abs/2601.10601