Journal
PHYSICS LETTERS B
Volume 645, Issue 5-6, Pages 393-397Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physletb.2006.12.062
Keywords
black hole; thermodynamics; generalized uncertainty principle
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We apply the generalized uncertainty principle to the thermodynamics of a small black hole. Here we have a black hole system with the UV cutoff. It is shown that the minimal length induced by the GUP interrupts the Gross-Perry-Yaffe phase transition for a small black hole. In order to see whether the black hole remnant takes place a transition to a large black hole, we introduce a black hole in a cavity (IR system). However, we fail to show the phase transition of the remnant to the large black hole. (c) 2007 Elsevier B.V. All rights reserved.
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