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Title: Correction of Cardy–Verlinde formula for Fermions and Bosons with modified dispersion relation

Abstract

Cardy–Verlinde formula links the entropy of conformal symmetry field to the total energy and its Casimir energy in a D-dimensional space. To correct black hole thermodynamics, modified dispersion relation can be used which is proposed as a general feature of quantum gravity approaches. In this paper, the thermodynamics of Schwarzschild four-dimensional black hole is corrected using the modified dispersion relation for Fermions and Bosons. Finally, using modified thermodynamics of Schwarzschild four-dimensional black hole, generalization for Cardy–Verlinde formula is obtained. - Highlights: • The modified Cardy–Verlinde formula obtained using MDR for Fermions and Bosons. • The modified entropy of the black hole used to correct the Cardy–Verlinde formula. • The modified entropy of the CFT has been obtained.

Authors:
;
Publication Date:
OSTI Identifier:
22617501
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics; Journal Volume: 380; Other Information: Copyright (c) 2017 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BLACK HOLES; BOSONS; CONFORMAL INVARIANCE; DISPERSION RELATIONS; ENTROPY; FERMIONS; FOUR-DIMENSIONAL CALCULATIONS; QUANTUM GRAVITY; SYMMETRY BREAKING; THERMODYNAMICS

Citation Formats

Sadatian, S. Davood, E-mail: sd-sadatian@um.ac.ir, and Dareyni, H. Correction of Cardy–Verlinde formula for Fermions and Bosons with modified dispersion relation. United States: N. p., 2017. Web. doi:10.1016/J.AOP.2017.03.009.
Sadatian, S. Davood, E-mail: sd-sadatian@um.ac.ir, & Dareyni, H. Correction of Cardy–Verlinde formula for Fermions and Bosons with modified dispersion relation. United States. doi:10.1016/J.AOP.2017.03.009.
Sadatian, S. Davood, E-mail: sd-sadatian@um.ac.ir, and Dareyni, H. Mon . "Correction of Cardy–Verlinde formula for Fermions and Bosons with modified dispersion relation". United States. doi:10.1016/J.AOP.2017.03.009.
@article{osti_22617501,
title = {Correction of Cardy–Verlinde formula for Fermions and Bosons with modified dispersion relation},
author = {Sadatian, S. Davood, E-mail: sd-sadatian@um.ac.ir and Dareyni, H.},
abstractNote = {Cardy–Verlinde formula links the entropy of conformal symmetry field to the total energy and its Casimir energy in a D-dimensional space. To correct black hole thermodynamics, modified dispersion relation can be used which is proposed as a general feature of quantum gravity approaches. In this paper, the thermodynamics of Schwarzschild four-dimensional black hole is corrected using the modified dispersion relation for Fermions and Bosons. Finally, using modified thermodynamics of Schwarzschild four-dimensional black hole, generalization for Cardy–Verlinde formula is obtained. - Highlights: • The modified Cardy–Verlinde formula obtained using MDR for Fermions and Bosons. • The modified entropy of the black hole used to correct the Cardy–Verlinde formula. • The modified entropy of the CFT has been obtained.},
doi = {10.1016/J.AOP.2017.03.009},
journal = {Annals of Physics},
number = ,
volume = 380,
place = {United States},
year = {Mon May 15 00:00:00 EDT 2017},
month = {Mon May 15 00:00:00 EDT 2017}
}