The arrow of time, black holes, and quantum mixing of large N Yang-Mills theories

Abstract

Quantum gravity in an AdS spacetime is described by an SU(N) Yang-Mills theory on a sphere, a bounded many-body system. We argue that in the high temperature phase the theory is intrinsically non-perturbative in the large N limit. At any nonzero value of the 't Hooft coupling $\lambda$, an exponentially large (in N^2) number of free theory states of wide energy range (of order N) mix under the interaction. As a result the planar perturbation theory breaks down. We argue that an arrow of time emerges and the dual string configuration should be interpreted as a stringy black hole.

arXiv comment50 pages 3 figures uses harvmac

References in corpus (33)

• Gauge Theory Correlators from Non-Critical String Theory
• Eternal Black Holes in AdS
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• The fuzzball proposal for black holes: an elementary review
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• The approach to thermal equilibrium in quantized chaotic systems
• Classical/quantum integrability in AdS/CFT
• The Hagedorn Transition, Deconfinement and N=4 SYM Theory
• The Factorized S-Matrix of CFT/AdS
• The Black Hole Singularity in AdS/CFT
• D-branes and Fat Black Holes
• The black hole final state
• A first order deconfinement transition in large N Yang-Mills theory on a small 3-sphere
• Sparse random matrices: the eigenvalue spectrum revisited
• Excursions beyond the horizon: Black hole singularities in Yang-Mills theories (I)
• Wigner Random Banded Matrices with Sparse Structure: Local Spectral Density of States
• Very Long Time Scales and Black Hole Thermal Equilibrium
• Massless black holes and black rings as effective geometries of the D1-D5 system
• Relaxation in Conformal Field Theory, Hawking-Page Transition, and Quasinormal/Normal Modes
• Bulk-cone singularities & signatures of horizon formation in AdS/CFT
• AdS black holes and thermal Yang-Mills correlators
• On the Role of Chaos in the AdS/CFT Connection
• Information Recovery From Black Holes
• Comments on the black hole information problem
• Poincare Recurrences and Topological Diversity
• Restoring Unitarity in BTZ Black Hole
• Long time scales and eternal black holes
• Lyapunov Exponent and Plasmon Damping Rate in Nonabelian Gauge Theories
• From Free Fields to AdS -- Thermal Case
• Evidence for Large N Phase Transition in N=4 Super Yang-Mills Theory at Finite Temperature
• Inheritance principle and Non-renormalization theorems at finite temperature
• Counting planar diagrams with various restrictions

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• An Infalling Observer in AdS/CFT
• Emergent Spacetime and Holographic CFTs
• Weak Field Black Hole Formation in Asymptotically AdS Spacetimes
• Local Operators in the Eternal Black Hole
• Black Hole Collapse in the 1/c Expansion
• Phase Diagram of Planar Matrix Quantum Mechanics, Tensor, and Sachdev-Ye-Kitaev Models
• 2D CFT Partition Functions at Late Times
• Black Holes, AdS, and CFTs
• Measuring Black Hole Formations by Entanglement Entropy via Coarse-Graining
• Spin Matrix Theory: A quantum mechanical model of the AdS/CFT correspondence
• Holographic thermal correlators from supersymmetric instantons
• Matrix Models for the Black Hole Information Paradox
• Vector models and generalized SYK models
• Gravitational orbits, double-twist mirage, and many-body scars
• Large N classical dynamics of holographic matrix models
• Punctuated eternal inflation via AdS/CFT
• Evolution of entanglement entropy in the D1-D5 brane system
• Quantitative approaches to information recovery from black holes
• Holographic Non-Fermi Liquid in a Background Magnetic Field
• Thermalization in Quenched Open Quantum Cosmology
• Chaotic Fast Scrambling At Black Holes
• More on the New Large $D$ Limit of Matrix Models
• Geometry And Quantum Noise
• BPS Chaos
• Non-equilibrium Dynamics of O(N) Nonlinear Sigma models: a Large-N approach
• Black hole bulk-cone singularities
• Fast Scramblers, Horizons and Expander Graphs
• Thermalization with chemical potentials, and higher spin black holes
• Magnetic Heisenberg-chain/pp-wave correspondence
• Black Hole Final State Conspiracies
• Supersymmetry Breaking and the Cosmological Constant
• Boundary signature of singularity in the presence of a shock wave
• Local Poincaré Algebra from Quantum Chaos
• Chaos exponents of SYK traversable wormholes
• Shock waves, black hole interiors and holographic RG flows
• Tomograms of Spinning Black Holes
• Fast Scramblers Of Small Size
• Black Hole Formation at the Correspondence Point
• Algebra of operators in an AdS-Rindler wedge
• Perturbing a quantum black hole
• Ringdown in the SYK model
• A Strategy for Proving the Strong Eigenstate Thermalization Hypothesis : Chaotic Systems and Holography
• Non-equilibrium Wilson loops in N=4 SYM
• Nonequilibrium dynamics of the O(N) model on dS_3 and AdS crunches
• 2PI Effective Action and Evolution Equations of N = 4 super Yang-Mills
• Searching for emergent spacetime in spin glasses