Finite temperature effective action, AdS{sub 5} black holes, and 1/N expansion

Journal Article · Wed Jun 15 04:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.124023· OSTI ID:20709567

Alvarez-Gaume, Luis ^[1]; Gomez, Cesar ^[2]; Hong, Liu ^[3]; Wadia, Spenta R ^[1]

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1. Physics Department-Theory Division, CERN, CH-1211, Geneva 23 (Switzerland)
2. Instituto de Fisica Teorica, Universidad Autonoma de Madrid, Cantoblanco 28049 Madrid (Spain)
3. Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)

We propose a phenomenological matrix model to study string theory in AdS{sub 5}xS{sub 5} in the canonical ensemble. The model reproduces all the known qualitative features of the theory. In particular, it gives a simple effective potential description of Euclidean black hole nucleation and the tunneling between thermal anti-de Sitter (AdS) and the big black hole. It also has some interesting predictions. We find that there exists a critical temperature at which the Euclidean small black hole undergoes a Gross-Witten phase transition. We identify the phase transition with the Horowitz-Polchinski point where the black hole horizon size becomes comparable to the string scale. The appearance of the Hagedorn divergence of thermal AdS is due to the merger of saddle points corresponding to the Euclidean small black hole and thermal AdS. The merger can be described in terms of a cusp (A{sub 3}) catastrophe and divergences at the perturbative string level are smoothed out at finite string coupling using standard techniques of catastrophe theory.

• OSTI ID: 20709567
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 71; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACTION INTEGRAL
BLACK HOLES
COUPLING
CRITICAL TEMPERATURE
DE SITTER GROUP
EUCLIDEAN SPACE
PHASE TRANSFORMATIONS
POTENTIALS
QUANTUM FIELD THEORY
STRING MODELS
THERMODYNAMICS
TUNNEL EFFECT