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Celestial gluon amplitudes from the outside in

A bstract We show that, given a two-dimensional realization of the celestial OPE in self-dual Yang-Mills, we can find a scalar source around which scattering amplitudes replicate correlation functions computed from the 2D ‘gluon’ operators in a limit where a dynamic massless scalar decouples. We der...

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Bibliographic Details
Published in:The journal of high energy physics 2024-05, Vol.2024 (5), p.211-18, Article 211
Main Authors: Melton, Walker, Narayanan, Sruthi A.
Format: Article
Language:English
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Summary:A bstract We show that, given a two-dimensional realization of the celestial OPE in self-dual Yang-Mills, we can find a scalar source around which scattering amplitudes replicate correlation functions computed from the 2D ‘gluon’ operators in a limit where a dynamic massless scalar decouples. We derive conditions on the two-dimensional three-point correlation function so that such a source exists and give two particular examples of this construction, one in which gluons are constructed from vertex operators in the semiclassical limit of Liouville theory and another in which the soft gluons arise from generalized free fields. Finally, we identify a bulk dual to the level of the boundary Kac-Moody algebra and discuss moving beyond the decoupling limit.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2024)211