Large N Strong/Weak Coupling Phase Transition and the Correspondence Principle

Details Large N Strong/Weak Coupling Phase Transition and the Correspondence Principle Large N Strong/Weak Coupling Phase Transition and the Correspondence Principle

1998-10-08

arxiv.org/abs/hep-th/9810053v2

Nucl.Phys. B551 (1999) 229-241

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, harvmac. Minor errors corrected, argument in sect. 3 improved

Scientific paper

We argue that the large N strong/weak phase transition is a generic phenomenon in a finite temperature supersymmetric Yang-Mills theory of maximal supersymmetry. ${\cal N}=4$, D=4 SYM is the canonical example, where we also argue that the large N Hawking-Page phase transition disappears for a sufficiently small coupling. The Hawking-Page transition temperature is lowered by the first $\ap$ correction. Physically, the strong/weak phase transition is identified with the correspondence point of Horowitz and Polchinski. We also try to construct toy models to demonstrate the large N phase transitions, with limited success.

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