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Noncommutativity and logarithmic correction to the black hole entropy

Gupta, Kumar S.; Jurić, Tajron; Samsarov, Anđelo; Smolić, Ivica (2023) Noncommutativity and logarithmic correction to the black hole entropy. The Journal of high energy physics, 02 . ISSN 1126-6708

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Abstract

We study the noncommutative corrections to the entropy of the Reissner-Nordström black hole using a κ-deformed scalar probe within the brick-wall framework. The noncommutativity is encoded in an Abelian Drinfeld twist constructed from the Killing vector fields of the Reissner-Nordström black hole. We show that the noncommutative effects naturally lead to a logarithmic correction to the Bekenstein-Hawking entropy even at the lowest order of the WKB approximation. In contrast, such logarithmic corrections in the commutative setup appear only after the quantum effects are included through higher order WKB corrections or through higher loop effects. Our analysis thus provides further evidence towards the hypothesis that the noncommutative framework is capable of encoding quantum effects of gravity.

Item Type: Article
Uncontrolled Keywords: black hole entropy ; logarithmic correction ; noncommutative gauge theory
Subjects: NATURAL SCIENCES > Physics
Divisions: Theoretical Physics Division
Projects:
Project titleProject leaderProject codeProject type
Potraga za kvantnim prostorvremenom u spektru KNM za crne rupe i bljeskovima gama zrakaSamsarov, AnđeloIP-2020-02-9614HRZZ
Depositing User: Sofija Konjević
Date Deposited: 14 Apr 2023 06:40
URI: http://fulir.irb.hr/id/eprint/7951
DOI: 10.1007/JHEP02(2023)060

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