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arXiv · hep-th/0312136

Transplanckian Dispersion Relation and Entanglement Entropy of Blackhole

Darwin Chang·Chong-Sun Chu·Feng-Li Lin
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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.

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Darwin Chang, Chong-Sun Chu, Feng-Li Lin. 2003-12-12. Transplanckian Dispersion Relation and Entanglement Entropy of Blackhole. https://doi.org/10.1002/prop.200310133

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