General hierarchy of charges at null infinity via the Todd polynomials

Nagy, Silvia; Peraza, Javier; Pizzolo, Giorgio

Abstract

We give a general procedure for constructing an extended phase space for Yang-Mills theory at null infinity, capable of handling the asymptotic symmetries and construction of charges responsible for subn-leading soft theorems at all orders. The procedure is coordinate and gauge-choice independent and can be fed into the calculation of both tree and loop-level soft limits. We find a hierarchy in the extended phase space controlled by the Bernoulli numbers arising in Todd genus computations. We give an example of a calculation at tree level, in radial gauge, where we also uncover recursion relations at all orders for the equations of motion and charges.

Citation

Nagy, S., Peraza, J., & Pizzolo, G. (2025). General hierarchy of charges at null infinity via the Todd polynomials. Physical Review D, 111(6), Article L061903. https://doi.org/10.1103/PhysRevD.111.L061903

• Journal Article Type: Letter
• Acceptance Date: Feb 7, 2025
• Online Publication Date: Mar 15, 2025
• Publication Date: Mar 31, 2025
• Deposit Date: Apr 14, 2025
• Publicly Available Date: Apr 16, 2025
• Journal: Physical Review D
• Print ISSN: 2470-0010
• Electronic ISSN: 2470-0029
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 111
• Issue: 6
• Article Number: L061903
• DOI: https://doi.org/10.1103/PhysRevD.111.L061903
• Public URL: https://durham-repository.worktribe.com/output/3790203