PIRSA:06120025

The Arrow of Time, Black Holes, and Quantum Mixing of Large N Yang-Mills Theories

(2006). The Arrow of Time, Black Holes, and Quantum Mixing of Large N Yang-Mills Theories. Perimeter Institute. https://pirsa.org/06120025

The Arrow of Time, Black Holes, and Quantum Mixing of Large N Yang-Mills Theories. Perimeter Institute, Dec. 05, 2006, https://pirsa.org/06120025 

          @misc{ pirsa_PIRSA:06120025,
            doi = {10.48660/06120025},
            url = {https://pirsa.org/06120025},
            author = {},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {The Arrow of Time, Black Holes, and Quantum Mixing of Large N Yang-Mills Theories},
            publisher = {Perimeter Institute},
            year = {2006},
            month = {dec},
            note = {PIRSA:06120025 see, \url{https://pirsa.org}}
          }
Talk number PIRSA:06120025
DOI 10.48660/06120025
Collection
Talk Type Conference
Subject

Abstract

Quantum gravity in an AdS space-time 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