Hybrid thermalization in the large $N$ limit

Abstract

Semi-holography provides a formulation of dynamics in gauge theories involving both weakly self-interacting (perturbative) and strongly self-interacting (non-perturbative) degrees of freedom. These two subsectors interact via their effective metrics and sources, while the full local energy-momentum tensor is conserved in the physical background metric. In the large $N$ limit, the subsectors have their individual entropy currents, and so the full system can reach a pseudo-equilibrium state in which each subsector has a different physical temperature. We first complete the proof that the global thermal equilibrium state, where both subsectors have the \textit{same} physical temperature, can be defined in consistency with the principles of thermodynamics and statistical mechanics. Particularly, we show that the global equilibrium state is the unique state with maximum entropy in the microcanonical ensemble. Furthermore, we show that in the large $N$ limit, a \textit{typical} non-equilibrium state of the full isolated system relaxes to the global equilibrium state when the average energy density is large compared to the scale set by the inter-system coupling. We discuss quantum statistical perspectives.

31 pages, 6 figures; matches with version published in JHEP

References in corpus (22)

• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Bottom-up thermalization in heavy ion collisions
• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Semi-Holographic Fermi Liquids
• Nuclear enhancement of universal dynamics of high parton densities
• Thermalization at RHIC
• Retarded Correlators in Kinetic Theory: Branch Cuts, Poles and Hydrodynamic Onset Transitions
• Thermalization and isotropization in heavy-ion collisions
• Black Brane Entropy and Hydrodynamics
• A semi-holographic model for heavy-ion collisions
• Phenomenological characterisation of semi-holographic non-Fermi liquids
• Hybrid Fluid Models from Mutual Effective Metric Couplings
• Illustrated study of the semi-holographic non-perturbative framework
• Hydrodynamic attractor of a hybrid viscous fluid in Bjorken flow
• Time evolution of a toy semiholographic glasma
• Linear-in-$T$ resistivity from semiholographic non-Fermi liquid models
• Hydrodynamization in hybrid Bjorken flow attractors
• Black hole complementarity from microstate models: A study of information replication and the encoding in the black hole interior
• Entropy production from quasinormal modes
• An effective framework for strange metallic transport
• Generalized conformal quantum mechanics as an ideal observer in two-dimensional gravity