Probing the strong coupling limit of large N SYM on curved backgrounds | Zendy

Karl Landsteiner | Zendy; Esperanza López | Zendy

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Probing the strong coupling limit of large N SYM on curved backgrounds

Author(s) -

Karl Landsteiner,

Esperanza López

Publication year - 1999

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/1999/09/006

Subject(s) - physics , gauge theory , coupling (piping) , gauge (firearms) , anti de sitter space , brane , limit (mathematics) , mathematical physics , horizon , brane cosmology , coupling constant , quantum electrodynamics , wilson loop , quantum mechanics , mathematical analysis , mathematics , mechanical engineering , archaeology , astronomy , engineering , history

According to the AdS/CFT correspondence, the strong coupling limit of largen, N=4 supersymmetric gauge theory at finite temperature is described byasymptotically anti de Sitter black holes. These black holes exist with planar,spherical and hyperbolic horizon geometries. We concentrate on the hyperbolicand spherical cases and probe the associated gauge theories with D3-branes andWilson loops. The D3-brane probe reproduces the coupling of the scalars in thegauge theory to the background geometry and we find thermal stabilization inthe hyperbolic case. We investigate the vacuum expectation value of Wilsonloops with particular emphasis on the screening length at finite temperature.We find that the thermal phase transition of the theory on the sphere is notrelated to screening phenomena.Comment: 18 pages (harvmac b-mode), 6 figures; v2: comment on D-brane probe potential and conformal anomaly added, minor changes otherwise, references adde

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