The Jarzynski Identity and the AdS/CFT Duality

Details The Jarzynski Identity and the AdS/CFT Duality The Jarzynski Identity and the AdS/CFT Duality

2010-07-22

arxiv.org/abs/1007.3970v2

Phys.Lett.B700:277-281,2011

Physics

High Energy Physics

High Energy Physics - Theory

version to appear in Physics Letters B

Scientific paper

10.1016/j.physletb.2011.05.021

We point out a remarkable analogy between the Jarzynski identity from non-equilibrium statistical physics and the AdS/CFT duality. We apply the logic that leads to the Jarzynski identity to renormalization group (RG) flows of quantum field theories and then argue for the natural connection with the AdS/CFT duality formula. This application can be in principle checked in Monte Carlo simulations of RG flows. Given the existing generalizations of the Jarzynski identity in non-equilibrium statistical physics, and the analogy between the Jarzynski identity and the AdS/CFT duality, we are led to suggest natural but novel generalizations of the AdS/CFT dictionary.

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