Transplanckian entanglement entropy

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Abstract

The entanglement entropy of the event horizon is known to be plagued by the UV divergence due to the infinitely blue-shifted near horizon modes. In this Letter we calculate the entanglement entropy using the transplanckian dispersion relation, which has been proposed to model the quantum gravity effects. We show that, very generally, the entropy is rendered UV finite due to the suppression of high energy modes effected by the transplanckian dispersion relation. © 2004 Published by Elsevier B.V.

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Chang, D., Chu, C. S., & Lin, F. L. (2004). Transplanckian entanglement entropy. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 583(1–2), 192–198. https://doi.org/10.1016/j.physletb.2003.12.060

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