General hierarchy of charges at null infinity via the Todd polynomials

Nagy, Silvia - Peraza, Javier - Pizzolo, Giorgio

Resumen:

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.

Detalles Bibliográficos
2025
ANII: FCE_1_2023_1_175902
CSIC: Grupos 883174
GAUGE THEORIES
NON-ABELIAN GAUGE THEORIES
SCATTERING AMPLITUDES
CONTINUOUS SYMMETRIES
INFINITE-DIMENSIONAL SYMMETRIES
GROUP THEORY
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/49460
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)