Charge algebra for non-abelian large gauge symmetries at $O(r)$

Autor: Campiglia, Miguel, Peraza, Javier
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/JHEP12(2021)058
Popis: Asymptotic symmetries of gauge theories are known to encode infrared properties of radiative fields. In the context of tree-level Yang-Mills theory, the leading soft behavior of gluons is captured by large gauge symmetries with parameters that are $O(1)$ in the large $r$ expansion towards null infinity. This relation can be extended to subleading order provided one allows for large gauge symmetries with $O(r)$ gauge parameters. The latter, however, violate standard asymptotic field fall-offs and thus their interpretation has remained incomplete. We improve on this situation by presenting a relaxation of the standard asymptotic field behavior that is compatible with $O(r)$ gauge symmetries at linearized level. We show the extended space admits a symplectic structure on which $O(1)$ and $O(r)$ charges are well defined and such that their Poisson brackets reproduce the corresponding symmetry algebra.
Comment: 28 pages
Databáze: arXiv