Finite entanglement entropy of black holes

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,...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2018-06, Vol.78 (6), p.1-14, Article 459
Main Authors: Giaccari, Stefano, Modesto, Leonardo, Rachwał, Lesław, Zhu, Yiwei
Format: Article
Language:English
Subjects:
Astronomical models
Astronomy
Astrophysics and Cosmology
Black holes
Cosmological constant
Cosmology
Divergence
Elementary Particles
Entanglement
Entropy
Gravitation theory
Gravity (Force)
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Regularization
String Theory
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Summary: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.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-018-5942-6