Viscosity, entanglement and acceleration

Fuente: arXiv
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Main Authors: Lapygin, Dmitry D., Prokhorov, Georgy Yu., Teryaev, Oleg V., Zakharov, Valentin I.
Format: Preprint
Published: 2025
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author Lapygin, Dmitry D.
Prokhorov, Georgy Yu.
Teryaev, Oleg V.
Zakharov, Valentin I.
author_facet Lapygin, Dmitry D.
Prokhorov, Georgy Yu.
Teryaev, Oleg V.
Zakharov, Valentin I.
contents The Minkowski vacuum in an accelerated frame behaves like a fluid that has not only a finite temperature due to the Unruh effect, but also a finite shear viscosity. Moreover, the ratio of this viscosity to the entropy density exactly satisfies the Kovtun-Son-Starinets (KSS) bound, inspired by the string theory $ η/s=1/4π$. The origin of this viscosity is purely kinematical and is believed to be related to entanglement introduced by the Rindler horizon. We directly calculate the viscosity, entropy density, and their ratio for massless fields with spins 1/2 and 1. We show that locally the ratio of viscosity to entropy density can be below the limiting value $ 1/4π$ at distances of the order of the thickness of the membrane corresponding to the stretched horizon, and is described by the universal function for different spins. In particular, on the membrane surface $ η/s=1/8π$.
format Preprint
id arxiv_https___arxiv_org_abs_2502_18199
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Viscosity, entanglement and acceleration
Lapygin, Dmitry D.
Prokhorov, Georgy Yu.
Teryaev, Oleg V.
Zakharov, Valentin I.
High Energy Physics - Theory
General Relativity and Quantum Cosmology
The Minkowski vacuum in an accelerated frame behaves like a fluid that has not only a finite temperature due to the Unruh effect, but also a finite shear viscosity. Moreover, the ratio of this viscosity to the entropy density exactly satisfies the Kovtun-Son-Starinets (KSS) bound, inspired by the string theory $ η/s=1/4π$. The origin of this viscosity is purely kinematical and is believed to be related to entanglement introduced by the Rindler horizon. We directly calculate the viscosity, entropy density, and their ratio for massless fields with spins 1/2 and 1. We show that locally the ratio of viscosity to entropy density can be below the limiting value $ 1/4π$ at distances of the order of the thickness of the membrane corresponding to the stretched horizon, and is described by the universal function for different spins. In particular, on the membrane surface $ η/s=1/8π$.
title Viscosity, entanglement and acceleration
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2502.18199