Thermofield Theory of Large $N$ Matrix Models

Abstract

We develop analytical and numerical methods for the matrix thermofield in the large $N$ limit. Through the double collective representation on the Schwinger-Keldysh contour, it provides thermodynamical properties and finite temperature correlation functions, for large $N$ matrix quantum systems.

36 pages, 12 figures, 6 tables; typo fixed

References in corpus (16)

• Eternal Black Holes in AdS
• The Hagedorn Transition, Deconfinement and N=4 SYM Theory
• Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
• Exact Multi-Matrix Correlators
• Holographic description of quantum black hole on a computer
• Bootstrapping Matrix Quantum Mechanics
• Giant Gravitons - with Strings Attached (II)
• Giant Gravitons - with Strings Attached (I)
• Loop Equations and bootstrap methods in the lattice
• Phases of one dimensional large N gauge theory in a 1/D expansion
• Bootstraps to Strings: Solving Random Matrix Models with Positivity
• Analytic and Numerical Bootstrap for One-Matrix Model and "Unsolvable" Two-Matrix Model
• Bulk from Bi-locals in Thermo Field CFT
• Dynamical Symmetry and the Thermofield State at Large $N$
• The Confining Transition in the Bosonic BMN Matrix Model
• Analytic trajectory bootstrap for matrix models