Finite entanglement entropy of black holes
Abstract We compute the area term contribution to black holes’ entanglement entropy (using the conical technique) for a class of local or weakly non-local super-renormalizable gravitational theories coupled to matter. For the first time, we explicitly prove that all the beta functions in the propose...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-06-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-5942-6 |
| _version_ | 1818195792920313856 |
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| author | Stefano Giaccari Leonardo Modesto Lesław Rachwał Yiwei Zhu |
| author_facet | Stefano Giaccari Leonardo Modesto Lesław Rachwał Yiwei Zhu |
| author_sort | Stefano Giaccari |
| collection | DOAJ |
| description | Abstract We compute the area term contribution to black holes’ entanglement entropy (using the conical technique) for a class of local or weakly non-local super-renormalizable gravitational theories coupled to matter. For the first time, we explicitly prove that all the beta functions in the proposed theory, except for the cosmological constant, are identically zero in cut-off regularization scheme and not only in dimensional regularization scheme. In particular, we show that there is no divergence quadratic in cut-off and hence there is no contribution to the beta function of the Newton constant. As a consequence of this result, we argue that in these theories of gravity conical entropy is a sensible definition of physical entropy, in particular, it is positive-definite and gauge independent. On top of this the conical entropy, being expressed only in terms of the classical Newton constant, turns out to be finite and naturally coincides with Bekenstein-Hawking entropy. Finally, we propose a theory in which the renormalization of the Newton constant is entirely due to the Standard Model matter, arguing that such a contribution does not give the usual interpretational problems of conical entropy discussed in the literature. |
| first_indexed | 2024-12-12T01:23:49Z |
| format | Article |
| id | doaj.art-6013056364054e3aacea2fa0d4a1d66f |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-12T01:23:49Z |
| publishDate | 2018-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-6013056364054e3aacea2fa0d4a1d66f2022-12-22T00:43:09ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-06-0178611410.1140/epjc/s10052-018-5942-6Finite entanglement entropy of black holesStefano Giaccari0Leonardo Modesto1Lesław Rachwał2Yiwei Zhu3Theoretical Physics Division of Particles and Fields, Faculty of Science, University of ZagrebDepartment of Physics, Southern University of Science and TechnologyCenter for Field Theory and Particle Physics and Department of Physics, Fudan UniversityCenter for Field Theory and Particle Physics and Department of Physics, Fudan UniversityAbstract We compute the area term contribution to black holes’ entanglement entropy (using the conical technique) for a class of local or weakly non-local super-renormalizable gravitational theories coupled to matter. For the first time, we explicitly prove that all the beta functions in the proposed theory, except for the cosmological constant, are identically zero in cut-off regularization scheme and not only in dimensional regularization scheme. In particular, we show that there is no divergence quadratic in cut-off and hence there is no contribution to the beta function of the Newton constant. As a consequence of this result, we argue that in these theories of gravity conical entropy is a sensible definition of physical entropy, in particular, it is positive-definite and gauge independent. On top of this the conical entropy, being expressed only in terms of the classical Newton constant, turns out to be finite and naturally coincides with Bekenstein-Hawking entropy. Finally, we propose a theory in which the renormalization of the Newton constant is entirely due to the Standard Model matter, arguing that such a contribution does not give the usual interpretational problems of conical entropy discussed in the literature.http://link.springer.com/article/10.1140/epjc/s10052-018-5942-6 |
| spellingShingle | Stefano Giaccari Leonardo Modesto Lesław Rachwał Yiwei Zhu Finite entanglement entropy of black holes European Physical Journal C: Particles and Fields |
| title | Finite entanglement entropy of black holes |
| title_full | Finite entanglement entropy of black holes |
| title_fullStr | Finite entanglement entropy of black holes |
| title_full_unstemmed | Finite entanglement entropy of black holes |
| title_short | Finite entanglement entropy of black holes |
| title_sort | finite entanglement entropy of black holes |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-5942-6 |
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