Large N strong / weak coupling phase transition and the correspondence principle

Gao, Yi-hong; Li, Miao

doi:10.1016/S0550-3213(99)00234-5

Large N strong / weak coupling phase transition and the correspondence principle

Yi-hong Gao
(
- Beijing, Inst. Theor. Phys.
)
,
Miao Li
(
- Beijing, Inst. Theor. Phys. and
- Chicago U., EFI
)

Oct, 1998

14 pages

Published in:

Nucl.Phys.B 551 (1999) 229-241

e-Print:

hep-th/9810053 [hep-th]

DOI:

10.1016/S0550-3213(99)00234-5

Report number:

AS-ITP-98-11,
EFI-98-49

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Abstract:

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.

Note:

15 pages, harvmac. Minor errors corrected, argument in sect. 3 improved Report-no: AS-ITP-98-11, EFI-98-49

gauge field theory: Yang-Mills
supersymmetry
critical phenomena
finite temperature
expansion 1/N
temperature: Hawking
black hole
field theory: conformal
space: sphere

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