Towards a Carrollian Description of Yang-Mills

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Hauptverfasser: Opreij, Jeffrey, Skinner, David, Wang, Hangzhi
Format: Preprint
Veröffentlicht: 2026
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author Opreij, Jeffrey
Skinner, David
Wang, Hangzhi
author_facet Opreij, Jeffrey
Skinner, David
Wang, Hangzhi
contents We provide a theory defined purely on null infinity that describes Yang-Mills in the Minkowski space bulk. The dynamical field of our model is the characteristic data of the bulk gauge field, and the action combines an electric branch Carrollian kinetic term with non-local interactions of MHV type that link different points on the celestial sphere. We explicitly show how this theory recovers all MHV and NMHV tree amplitudes in Yang-Mills, and outline how arbitrary tree amplitudes may be obtained from its Feynman diagram expansion. The detailed expression we find for the NMHV amplitude appears to be new.
format Preprint
id arxiv_https___arxiv_org_abs_2604_09771
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Towards a Carrollian Description of Yang-Mills
Opreij, Jeffrey
Skinner, David
Wang, Hangzhi
High Energy Physics - Theory
General Relativity and Quantum Cosmology
We provide a theory defined purely on null infinity that describes Yang-Mills in the Minkowski space bulk. The dynamical field of our model is the characteristic data of the bulk gauge field, and the action combines an electric branch Carrollian kinetic term with non-local interactions of MHV type that link different points on the celestial sphere. We explicitly show how this theory recovers all MHV and NMHV tree amplitudes in Yang-Mills, and outline how arbitrary tree amplitudes may be obtained from its Feynman diagram expansion. The detailed expression we find for the NMHV amplitude appears to be new.
title Towards a Carrollian Description of Yang-Mills
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2604.09771