Infinite-dimensional hierarchy of recursive extensions for all sub n -leading soft effects in Yang-Mills

Nagy, Silvia; Peraza, Javier; Pizzolo, Giorgio

Abstract

Building on our proposal in [1], we present in detail the construction of the extended phase space for Yang-Mills at null infinity, containing the asymptotic symmetries and the charges responsible for subn-leading soft theorems at all orders. The generality of the procedure allows it to be directly applied to the computation of both tree and loop-level soft limits. We also give a detailed study of Yang-Mills equations under the radial expansion, giving a thorough construction of the radiative phase space for decays compatible with tree-level amplitudes for both light-cone and radial gauges. This gives rise to useful recursion relations at all orders between the field strength and the vector gauge coefficients. We construct the subn-leading charges recursively, and show a hierarchical truncation such that each charge subalgebra is closed, and their action in the extended phase space is canonical. We relate these results with the infinite-dimensional algebras that have been recently introduced in the context of conformal field theories at null infinity. We also apply our method to the computation of non-universal terms in the sub-leading charges arising in theories with higher derivative interaction terms.

Citation

Nagy, S., Peraza, J., & Pizzolo, G. (2024). Infinite-dimensional hierarchy of recursive extensions for all sub n -leading soft effects in Yang-Mills. Journal of High Energy Physics, 2024(12), Article 68. https://doi.org/10.1007/jhep12%282024%29068

• Journal Article Type: Article
• Acceptance Date: Nov 11, 2024
• Online Publication Date: Dec 10, 2024
• Publication Date: Dec 10, 2024
• Deposit Date: Dec 16, 2024
• Publicly Available Date: Dec 16, 2024
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2024
• Issue: 12
• Article Number: 68
• DOI: https://doi.org/10.1007/jhep12%282024%29068
• Keywords: Gauge Symmetry, Scattering Amplitudes
• Public URL: https://durham-repository.worktribe.com/output/3219607