General hierarchy of charges at null infinity via the Todd polynomials
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.
| 2025 | |
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ANII: FCE_1_2023_1_175902 CSIC: Grupos 883174 |
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GAUGE THEORIES NON-ABELIAN GAUGE THEORIES SCATTERING AMPLITUDES CONTINUOUS SYMMETRIES INFINITE-DIMENSIONAL SYMMETRIES GROUP THEORY |
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| 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) |