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Entanglement Entropy in Closed String Theory

by Usman Naseer

Submission summary

As Contributors: Usman Naseer
Arxiv Link: https://arxiv.org/abs/2002.12148v2 (pdf)
Date submitted: 2020-10-14 08:38
Submitted by: Naseer, Usman
Submitted to: SciPost Physics
Academic field: Physics
Specialties:
  • Gravitation, Cosmology and Astroparticle Physics
  • High-Energy Physics - Theory
Approach: Theoretical

Abstract

In local quantum field theory, the entanglement entropy of a region is divergent due to the arbitrary short-wavelength correlations near the boundary of the region. Quantum gravitational fluctuations are expected to cut off the entropy of the ultraviolet modes. Guided by this, we study the entanglement entropy in closed string theory. We factorize the configuration space of closed strings based on the position of the center of mass. We then compute the one-loop R\'enyi partition functions corresponding to this factorization using the replica method and string field theory. The short-wavelength modes are cut off at the string scale and the one-loop entanglement entropy is ultraviolet-finite. A non-trivial path integration measure, required to produce the correct one-loop vacuum amplitude, plays a key role.

Current status:
Editor-in-charge assigned


Submission & Refereeing History

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Resubmission 2002.12148v2 on 14 October 2020

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