We propose a dual lower dimensional description of the vacuum state associated to a strongly coupled CFT living on Rindler wedge slice close to the horizon hypersurface. From this field theory, with a linear response approach, we show the possibility to derive an entanglement horizon viscosity via a holographic Kubo formula in terms of a two-point function of the stress tensor of matter fields in the bulk. The entanglement viscosity over entropy density ratio come out to satisfy the universal Kovtun-Son-Starinets (KSS) value 1/4π in four dimensions, suggesting the universal ratio may be a fundamental property of quantum entanglement. © Published under licence by IOP Publishing Ltd.
Non-equilibrium Spacetime Thermodynamics, Entanglement viscosity and KSS bound / Chirco, G.; Eling, C.; Liberati, S.. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - 314:1(2011), p. 012033. (Intervento presentato al convegno Spanish Relativity Meeting: Gravity as a Crossroad in Physics, ERE 2010 tenutosi a Granada, esp nel 2010) [10.1088/1742-6596/314/1/012033].
Non-equilibrium Spacetime Thermodynamics, Entanglement viscosity and KSS bound
Chirco G.;
2011
Abstract
We propose a dual lower dimensional description of the vacuum state associated to a strongly coupled CFT living on Rindler wedge slice close to the horizon hypersurface. From this field theory, with a linear response approach, we show the possibility to derive an entanglement horizon viscosity via a holographic Kubo formula in terms of a two-point function of the stress tensor of matter fields in the bulk. The entanglement viscosity over entropy density ratio come out to satisfy the universal Kovtun-Son-Starinets (KSS) value 1/4π in four dimensions, suggesting the universal ratio may be a fundamental property of quantum entanglement. © Published under licence by IOP Publishing Ltd.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.