Finite entanglement entropy in asymptotically safe quantum gravity
Abstract Entanglement entropies calculated in the framework of quantum field theory on classical, flat or curved, spacetimes are known to show an intriguing area law in four dimensions, but they are also notorious for their quadratic ultraviolet divergences. In this paper we demonstrate that the ana...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP07(2018)039 |
| _version_ | 1818478395583889408 |
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| author | Carlo Pagani Martin Reuter |
| author_facet | Carlo Pagani Martin Reuter |
| author_sort | Carlo Pagani |
| collection | DOAJ |
| description | Abstract Entanglement entropies calculated in the framework of quantum field theory on classical, flat or curved, spacetimes are known to show an intriguing area law in four dimensions, but they are also notorious for their quadratic ultraviolet divergences. In this paper we demonstrate that the analogous entanglement entropies when computed within the Asymptotic Safety approach to background independent quantum gravity are perfectly free from such divergences. We argue that the divergences are an artifact due to the over-idealization of a rigid, classical spacetime geometry which is insensitive to the quantum dynamics. |
| first_indexed | 2024-12-10T09:47:33Z |
| format | Article |
| id | doaj.art-f8a2de475c7a44cdb43a80b859916bc8 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T09:47:33Z |
| publishDate | 2018-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f8a2de475c7a44cdb43a80b859916bc82022-12-22T01:53:45ZengSpringerOpenJournal of High Energy Physics1029-84792018-07-012018711810.1007/JHEP07(2018)039Finite entanglement entropy in asymptotically safe quantum gravityCarlo Pagani0Martin Reuter1Institute of Physics, Johannes Gutenberg University MainzInstitute of Physics, Johannes Gutenberg University MainzAbstract Entanglement entropies calculated in the framework of quantum field theory on classical, flat or curved, spacetimes are known to show an intriguing area law in four dimensions, but they are also notorious for their quadratic ultraviolet divergences. In this paper we demonstrate that the analogous entanglement entropies when computed within the Asymptotic Safety approach to background independent quantum gravity are perfectly free from such divergences. We argue that the divergences are an artifact due to the over-idealization of a rigid, classical spacetime geometry which is insensitive to the quantum dynamics.http://link.springer.com/article/10.1007/JHEP07(2018)039Models of Quantum GravityRenormalization Group |
| spellingShingle | Carlo Pagani Martin Reuter Finite entanglement entropy in asymptotically safe quantum gravity Journal of High Energy Physics Models of Quantum Gravity Renormalization Group |
| title | Finite entanglement entropy in asymptotically safe quantum gravity |
| title_full | Finite entanglement entropy in asymptotically safe quantum gravity |
| title_fullStr | Finite entanglement entropy in asymptotically safe quantum gravity |
| title_full_unstemmed | Finite entanglement entropy in asymptotically safe quantum gravity |
| title_short | Finite entanglement entropy in asymptotically safe quantum gravity |
| title_sort | finite entanglement entropy in asymptotically safe quantum gravity |
| topic | Models of Quantum Gravity Renormalization Group |
| url | http://link.springer.com/article/10.1007/JHEP07(2018)039 |
| work_keys_str_mv | AT carlopagani finiteentanglemententropyinasymptoticallysafequantumgravity AT martinreuter finiteentanglemententropyinasymptoticallysafequantumgravity |