Finiteness of entanglement entropy in a quantum black hole
Department of Physics and Center for High Energy Physics, Chung Yuan Christian University Chung Li City, Taiwan and Leung Center for Cosmology and Particle Astrophysics National Taiwan University - Taipei 106, Taiwan
Received: 22 February 2016
Accepted: 31 March 2016
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 of CFT within finite Euclidean time was proposed by Kuwakino and Wen (JHEP, 05 (2015) 099) to regard this logarithmic term as entanglement between radiation and the black hole, and this proposal was justified by the alternative sign for n-partite quantum information. However, this preliminary form suffers from the notorious divergence at its low-temperature limit. In this letter, we propose a modified form for black-hole entanglement entropy such that the divergence sickness can be cured. We discuss the final stage of a black hole due to this modification and its relation to the Rényi entropy, higher-loop quantum correction and higher-spin black holes.
PACS: 04.70.Dy – Quantum aspects of black holes, evaporation, thermodynamics / 04.70.-s – Physics of black holes / 04.62.+v – Quantum fields in curved spacetime
© EPLA, 2016