Dynamical edge modes and entanglement in Maxwell theory
Abstract Previous work on black hole partition functions and entanglement entropy suggests the existence of “edge” degrees of freedom living on the (stretched) horizon. We identify a local and “shrinkable” boundary condition on the stretched horizon that gives rise to such degrees of freedom. They c...
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2024-09-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP09(2024)032 |
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| author | Adam Ball Y. T. Albert Law Gabriel Wong |
| author_facet | Adam Ball Y. T. Albert Law Gabriel Wong |
| author_sort | Adam Ball |
| collection | DOAJ |
| description | Abstract Previous work on black hole partition functions and entanglement entropy suggests the existence of “edge” degrees of freedom living on the (stretched) horizon. We identify a local and “shrinkable” boundary condition on the stretched horizon that gives rise to such degrees of freedom. They can be interpreted as the Goldstone bosons of gauge transformations supported on the boundary, with the electric field component normal to the boundary as their symplectic conjugate. Applying the covariant phase space formalism for manifolds with boundary, we show that both the symplectic form and Hamiltonian exhibit a bulk-edge split. We then show that the thermal edge partition function is that of a codimension-two ghost compact scalar living on the horizon. In the context of a de Sitter static patch, this agrees with the edge partition functions found by Anninos et al. in arbitrary dimensions. It also yields a 4D entanglement entropy consistent with the conformal anomaly. Generalizing to Proca theory, we find that the prescription of Donnelly and Wall reproduces existing results for its edge partition function, while its classical phase space does not exhibit a bulk-edge split. |
| format | Article |
| id | doaj-art-ab6249af4792492e9086082b45e844f3 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-ab6249af4792492e9086082b45e844f32024-12-08T12:15:16ZengSpringerOpenJournal of High Energy Physics1029-84792024-09-012024916310.1007/JHEP09(2024)032Dynamical edge modes and entanglement in Maxwell theoryAdam Ball0Y. T. Albert Law1Gabriel Wong2Perimeter Institute for Theoretical PhysicsCenter for the Fundamental Laws of Nature, Harvard UniversityHarvard CMSAAbstract Previous work on black hole partition functions and entanglement entropy suggests the existence of “edge” degrees of freedom living on the (stretched) horizon. We identify a local and “shrinkable” boundary condition on the stretched horizon that gives rise to such degrees of freedom. They can be interpreted as the Goldstone bosons of gauge transformations supported on the boundary, with the electric field component normal to the boundary as their symplectic conjugate. Applying the covariant phase space formalism for manifolds with boundary, we show that both the symplectic form and Hamiltonian exhibit a bulk-edge split. We then show that the thermal edge partition function is that of a codimension-two ghost compact scalar living on the horizon. In the context of a de Sitter static patch, this agrees with the edge partition functions found by Anninos et al. in arbitrary dimensions. It also yields a 4D entanglement entropy consistent with the conformal anomaly. Generalizing to Proca theory, we find that the prescription of Donnelly and Wall reproduces existing results for its edge partition function, while its classical phase space does not exhibit a bulk-edge split.https://doi.org/10.1007/JHEP09(2024)032Gauge SymmetryGlobal Symmetries |
| spellingShingle | Adam Ball Y. T. Albert Law Gabriel Wong Dynamical edge modes and entanglement in Maxwell theory Journal of High Energy Physics Gauge Symmetry Global Symmetries |
| title | Dynamical edge modes and entanglement in Maxwell theory |
| title_full | Dynamical edge modes and entanglement in Maxwell theory |
| title_fullStr | Dynamical edge modes and entanglement in Maxwell theory |
| title_full_unstemmed | Dynamical edge modes and entanglement in Maxwell theory |
| title_short | Dynamical edge modes and entanglement in Maxwell theory |
| title_sort | dynamical edge modes and entanglement in maxwell theory |
| topic | Gauge Symmetry Global Symmetries |
| url | https://doi.org/10.1007/JHEP09(2024)032 |
| work_keys_str_mv | AT adamball dynamicaledgemodesandentanglementinmaxwelltheory AT ytalbertlaw dynamicaledgemodesandentanglementinmaxwelltheory AT gabrielwong dynamicaledgemodesandentanglementinmaxwelltheory |