THE HAGEDORN TRANSITION, DECONFINEMENT AND THE AdS/CFT CORRESPONDENCE

S. Rama,B. Sathiapalan

Published 1998 in Modern Physics Letters A

ABSTRACT

A connection between the Hagedorn transition in string theory and the deconfinement transition in (nonsupersymmetric) Yang–Mills theory is made using the AdS/CFT correspondence. We modify the model of zero temperature QCD proposed by Witten by compactifying an additional space–time coordinate with supersymmetry breaking boundary conditions thus introducing a finite temperature in the boundary theory. There is a Hagedorn-like transition associated with winding modes around this coordinate, which signals a topology changing phase transition to a new AdS/Schwarzschild black hole where this coordinate is the time coordinate. In the boundary gauge theory time-like Wilson loops acquire an expectation value above this temperature.

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