Noncommutativity and logarithmic correction to the black hole entropy

Scientific paper - Original scientific paper

• Author: Kumar S. Gupta
• Author: Tajron Jurić
• Author: Andjelo Samsarov
• Author: Ivica Smolić
• Author's institution: University of Zagreb; Faculty of Science; (Department of Physics)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract (english)

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.

• Keywords (english): black hole entropy; logarithmic correction; noncommutative gauge theory
• Language: english
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review - international
• Publication version: Published version
• Journal title: Journal of High Energy Physics
• Numbering: vol. 2023, no. 02, 060
• e-ISSN: 1029-8479
• DOI: https://doi.org/10.1007/JHEP02(2023)060
• URN:NBN: urn:nbn:hr:217:694932
• Publication: 2023-02-06
• Project: Number: IP-2020-02-9614; Title (croatian): Potraga za kvantnim prostorvremenom u spektru KNM za crne rupe i bljeskovima gama zraka; Title (english): Search for Quantum spacetime in Black Hole QNM spectrum and Gamma Ray Bursts; Acronym: QBHQNMGRB; Leader: Anđelo Samsarov; Jurisdiction: Croatia; Funding stream: IP
• Document URL: https://link.springer.com/10.1007/JHEP02(2023)060
• Type of resource: Text
• Access conditions: Open access
• Public note: Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Received 29 September 2022; Revised 09 January 2023; Accepted 20 January 2023.
• Created on: 2023-08-23 09:49:25