TY  - JOUR
A1  - Casalderrey-Solana, Jorge
A1  - Ecker, Christian
A1  - Mateos, David
A1  - Schee, Wilke van der
T1  - Strong-coupling dynamics and entanglement in de Sitter space
T2  - Journal of high energy physics
N2  - 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.
KW  - Gauge-gravity correspondence
KW  - AdS-CFT Correspondence
KW  - Nonperturbative Effects
Y1  - 2021
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/84381
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-843817
SN  - 1029-8479
VL  - 2021
IS  - article number 181
PB  - Springer
CY  - Berlin ; Heidelberg
ER  -