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http://hdl.handle.net/10261/163036
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dc.contributor.author | Arzano, Michele | - |
dc.contributor.author | Calcagni, Gianluca | - |
dc.date.accessioned | 2018-04-02T09:12:45Z | - |
dc.date.available | 2018-04-02T09:12:45Z | - |
dc.date.issued | 2017-12-07 | - |
dc.identifier | doi: 10.1140/epjc/s10052-017-5393-5 | - |
dc.identifier | issn: 1434-6044 | - |
dc.identifier.citation | European Physical Journal C 77: 835 (2017) | - |
dc.identifier.uri | http://hdl.handle.net/10261/163036 | - |
dc.description | 15 pags., 2 figs. -- Open Access funded by Creative Commons Atribution Licence 4.0 | - |
dc.description.abstract | What are the conditions on a field theoretic model leading to a finite entanglement entropy density? We prove two very general results: (1) Ultraviolet finiteness of a theory does not guarantee finiteness of the entropy density; (2) If the spectral dimension of the spatial boundary across which the entropy is calculated is non-negative at all scales, then the entanglement entropy cannot be finite. These conclusions, which we verify in several examples, negatively affect all quantum-gravity models, since their spectral dimension is always positive. Possible ways out are considered, including abandoning the definition of the entanglement entropy in terms of the boundary return probability or admitting an analytic continuation (not a regularization) of the usual definition. In the second case, one can get a finite entanglement entropy density in multi-fractional theories and causal dynamical triangulations. | - |
dc.description.sponsorship | The work of G.C. is under a Ramón y Cajal contract and is supported by the I+D Grant FIS2014-54800-C2-2-P. | - |
dc.publisher | Springer Nature | - |
dc.relation | info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/FIS2014-54800-C2-2-P | - |
dc.relation.isversionof | Publisher's version | - |
dc.rights | openAccess | - |
dc.title | Finite entanglement entropy and spectral dimension in quantum gravity | - |
dc.type | artículo | - |
dc.identifier.doi | 10.1140/epjc/s10052-017-5393-5 | - |
dc.relation.publisherversion | https://doi.org/10.1140/epjc/s10052-017-5393-5 | - |
dc.date.updated | 2018-04-02T09:12:45Z | - |
dc.description.version | Peer Reviewed | - |
dc.language.rfc3066 | eng | - |
dc.rights.license | http://creativecommons.org/licenses/by/4.0 | - |
dc.contributor.funder | SCOAP | - |
dc.contributor.funder | Ministerio de Economía y Competitividad (España) | - |
dc.relation.csic | Sí | - |
dc.identifier.funder | http://dx.doi.org/10.13039/501100003329 | es_ES |
dc.type.coar | http://purl.org/coar/resource_type/c_6501 | es_ES |
item.openairetype | artículo | - |
item.grantfulltext | open | - |
item.cerifentitytype | Publications | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.fulltext | With Fulltext | - |
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Finite entanglement.pdf | 496,94 kB | Adobe PDF | Visualizar/Abrir |
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