Transplanckian dispersion relation and entanglement entropy of blackhole

Darwin Chang, Chong Sun Chu, Feng Li Lin

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The quantum correction to the entanglement entropy of the event horizon is plagued by the UV divergence due to the infinitely blue-shifted near horizon modes. The resolution of this UV divergence provides an excellent window to a better understanding and control of the quantum gravity effects. We claim that the key to resolve this UV puzzle is the transplanckian dispersion relation. We calculate the entanglement entropy using a very general type of transplanckian dispersion relation such that high energy modes above a certain scale are cutoff, and show that the entropy is rendered UV finite. We argue that modified dispersion relation is a generic feature of string theory, and this boundedness nature of the dispersion relation is a general consequence of the existence of a minimal distance in string theory.

Original languageEnglish
Pages (from-to)477-482
Number of pages6
JournalFortschritte der Physik
Volume52
Issue number6-7
DOIs
Publication statusPublished - 2004 Jun 1

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entropy
string theory
divergence
event horizon
horizon
cut-off
gravitation
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Transplanckian dispersion relation and entanglement entropy of blackhole. / Chang, Darwin; Chu, Chong Sun; Lin, Feng Li.

In: Fortschritte der Physik, Vol. 52, No. 6-7, 01.06.2004, p. 477-482.

Research output: Contribution to journalArticle

Chang, Darwin ; Chu, Chong Sun ; Lin, Feng Li. / Transplanckian dispersion relation and entanglement entropy of blackhole. In: Fortschritte der Physik. 2004 ; Vol. 52, No. 6-7. pp. 477-482.
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