| Autor: |
Oscar Fuentealba, Marc Henneaux, Cédric Troessaert |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
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| Zdroj: |
Journal of High Energy Physics, Vol 2023, Iss 3, Pp 1-25 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
1029-8479 |
| DOI: |
10.1007/JHEP03(2023)073 |
| Popis: |
Abstract We extend the asymptotic symmetries of electromagnetism in order to consistently include angle-dependent u(1) gauge transformations ϵ that involve terms growing at spatial infinity linearly and logarithmically in r, ϵ ~ a(θ, φ)r + b(θ, φ) ln r + c(θ, φ). The charges of the logarithmic u(1) transformations are found to be conjugate to those of the O $$ \mathcal{O} $$ (1) transformations (abelian algebra with invertible central term) while those of the O $$ \mathcal{O} $$ (r) transformations are conjugate to those of the subleading O $$ \mathcal{O} $$ (r −1) transformations. Because of this structure, one can decouple the angle-dependent u(1) asymptotic symmetry from the Poincaré algebra, just as in the case of gravity: the generators of these internal transformations are Lorentz scalars in the redefined algebra. This implies in particular that one can give a definition of the angular momentum which is free from u(1) gauge ambiguities. The change of generators that brings the asymptotic symmetry algebra to a direct sum form involves non linear redefinitions of the charges. Our analysis is Hamiltonian throughout and carried at spatial infinity. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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