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It has been known for many years that the leading correction to the black hole entropy is a logarithmic term, which is universal and closely related to conformal anomaly. A fully consistent analysis of this issue has to take quantum…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Yong Xiao , Yu Tian

Recently, Verlinde discussed that gravity can be understood as an entropic force caused by changes in the information associated with the positions of material bodies. In the Verlinde's argument, the area law of the black hole entropy plays…

General Relativity and Quantum Cosmology · Physics 2010-05-19 Ahmad Sheykhi

From the viewpoint of local quantum field theory, this letter investigates the high-order corrections to the holographic entropy bound. As a result, the logarithmic correction term appears naturally with the definite coefficient $-{1/2}$,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yi Ling , Hongbao Zhang

An insightful argument for a linear relation between the entropy and the area of a black hole was given by Bekenstein using only the energy-momentum dispersion relation, the uncertainty principle, and some properties of classical black…

High Energy Physics - Theory · Physics 2009-11-11 Giovanni Amelino-Camelia , Michele Arzano , Andrea Procaccini

The main part of this work is to present a formula allowing a microscopic derivation of the Schwarzschild black hole entropy in arbitrary dimension. More generally, this Cardy-like formula applies for static black holes whose gravitational…

High Energy Physics - Theory · Physics 2020-04-22 Mokhtar Hassaine

We evaluate the quantum corrections of the Einstein-Hilbert action with boundaries in the $2+\epsilon$ dimensional expansion approach. We find the Einstein-Hilbert action with boundaries to be renormalizable to the one loop order. We…

High Energy Physics - Theory · Physics 2010-11-01 T. Aida , Y. Kitazawa

We calculate the black hole entropy in Loop Quantum Gravity as a function of the horizon area and provide the exact formula for the leading and sub-leading terms. By comparison with the Bekenstein-Hawking formula we uniquely fix the value…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Krzysztof A. Meissner

We explore the gravitational implementation of the field theory Cardy-like limit recently used in the successful microstate countings of AdS black hole entropy in various dimensions. On the field theory side, the Cardy-like limit focuses on…

High Energy Physics - Theory · Physics 2022-05-02 Marina David , Jun Nian , Leopoldo A. Pando Zayas

A logarithmic but divergent term usually appears in the computation of entanglement entropy circumferencing a black hole, while the leading quantum correction to the Bekenstein-Hawking entropy also takes the logarithmic form. A quench model…

High Energy Physics - Theory · Physics 2016-09-27 Wen-Yu Wen

We show that a geometrical notion of entropy, definable in flat space, governs the first quantum correction to the Bekenstein-Hawking black hole entropy. We describe two methods for calculating this entropy -- a straightforward Hamiltonian…

High Energy Physics - Theory · Physics 2016-09-06 Curtin Callan , Frank Wilczek

We revisit Carlip's approach to entropy counting. This analysis reemerged in a recently obtained Schwarzschild/CFT-correspondence as Sugawara-construction of a 2D stress-tensor. Here, for the example of a Schwarzschild black hole, we show…

High Energy Physics - Theory · Physics 2020-02-26 Artem Averin

The Bekenstein-Hawking (BH) entropy is expected to be modified by certain correction terms in the quantum loop expansion. As is well known the logarithmic terms in the entropy of black holes appear as a one-loop addition to the classical BH…

High Energy Physics - Theory · Physics 2020-01-29 Sergey N. Solodukhin

Given a boundary of spacetime preserved by a Diff(S^{1}) sub-algebra, we propose a systematic method to compute the zero mode and the central extension of the associated Virasoro algebra of charges. Using these values in the Cardy formula,…

High Energy Physics - Theory · Physics 2009-11-07 Sebastian Silva

We provide a simple derivation of the corrections for Schwarzschild and Schwarzschild-Tangherlini black hole entropy without knowing the details of quantum gravity. We will follow Bekenstein, Wheeler and Jaynes ideas, using summations…

General Relativity and Quantum Cosmology · Physics 2018-01-31 Martin Blaschke , Zdeněk Stuchlík , Filip Blaschke , Petr Blaschke

In this paper we propose a way of determining the subleading corrections to the Bekenstein-Hawking black hole entropy by considering a modified generalized uncertainty principle with two parameters. In the context of modified generalized…

High Energy Physics - Theory · Physics 2007-05-23 Yumi Ko , Sunggeun Lee , Soonkeon Nam

Logarithmic corrections to the entropy of extremal black holes have proven effective in precisely matching the microscopic degeneracies obtained from string-theoretic as well as a non-perturbative quantum correction manifests as an…

High Energy Physics - Theory · Physics 2025-04-23 Ankit Anand

The entanglement entropy correlates two quantum sub-systems which are the part of the larger system. A logarithmic divergence term present in the entanglement entropy is universal in nature and directly proportional to the conformal…

High Energy Physics - Theory · Physics 2016-10-19 Dharm Veer Singh , Shobhit Sachan

We compute leading order corrections to the entropy of any thermodynamic system due to small statistical fluctuations around equilibrium. When applied to black holes, these corrections are shown to be of the form $-k\ln(Area)$. For BTZ…

High Energy Physics - Theory · Physics 2014-11-18 Saurya Das , Parthasarathi Majumdar , Rajat K. Bhaduri

[Abridged] We compute the canonical entropy of a quantum scalar field around static and spherically symmetric black holes through the brick wall approach at the higher orders (in fact, up to the sixth order in \hbar) in the WKB…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sudipta Sarkar , S. Shankaranarayanan , L. Sriramkumar

We introduce a prescription to compute the entanglement entropy of Galilean conformal field theories by combining gravitational anomalies and an \.{I}n\"{o}n\"{u}-Wigner contraction. We find that our expression for the entanglement entropy…

High Energy Physics - Theory · Physics 2016-03-02 Seyed Morteza Hosseini , Alvaro Veliz-Osorio