Strong-coupling dynamics and entanglement in de Sitter space

  • We use holography to study the dynamics of a strongly-coupled gauge theory in four-dimensional de Sitter space with Hubble rate H. The gauge theory is non-conformal with a characteristic mass scale M. We solve Einstein’s equations numerically and determine the time evolution of homogeneous gauge theory states. If their initial energy density is high compared with H4 then the early-time evolution is well described by viscous hydrodynamics with a non-zero bulk viscosity. At late times the dynamics is always far from equilibrium. The asymptotic late-time state preserves the full de Sitter symmetry group and its dual geometry is a domain-wall in AdS5. The approach to this state is characterised by an emergent relation of the form P = w E that is different from the equilibrium equation of state in flat space. The constant w does not depend on the initial conditions but only on H/M and is negative if the ratio H/M is close to unity. The event and the apparent horizons of the late-time solution do not coincide with one another, reflecting its non-equilibrium nature. In between them lies an “entanglement horizon” that cannot be penetrated by extremal surfaces anchored at the boundary, which we use to compute the entanglement entropy of boundary regions. If the entangling region equals the observable universe then the extremal surface coincides with a bulk cosmological horizon that just touches the event horizon, while for larger regions the extremal surface probes behind the event horizon.

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Author:Jorge Casalderrey-SolanaORCiDGND, Christian EckerORCiD, David MateosORCiD, Wilke van der ScheeORCiD
URN:urn:nbn:de:hebis:30:3-843761
URL:https://arxiv.org/abs/2011.08194v1
DOI:https://doi.org/10.48550/arXiv.2011.08194
ArXiv Id:http://arxiv.org/abs/2011.08194v1
Parent Title (German):arXiv
Series (Serial Number):CERN Report (CERN-TH-2020-195)
Publisher:arXiv
Document Type:Preprint
Language:English
Date of Publication (online):2020/11/16
Date of first Publication:2020/11/16
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2024/04/30
Issue:2011.08194 Version 1
Edition:Version 1
Page Number:46
HeBIS-PPN:518934268
Institutes:Physik / Physik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Sammlungen:Universitätspublikationen
Licence (German):License LogoCreative Commons - Namensnennung 4.0