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arXiv · hep-th/9810069

The Hagedorn Transition, Deconfinement and the AdS/CFT Correspondence

S. Kalyana Rama·B. Sathiapalan
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Abstract

A connection between the Hagedorn transition in string theory and the deconfinement transition in (non-supersymmetric) 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 blackhole 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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S. Kalyana Rama, B. Sathiapalan. 1998-10-10. The Hagedorn Transition, Deconfinement and the AdS/CFT Correspondence. https://doi.org/10.1142/s0217732398003338

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