Static strings in global AdS space and quark anti-quark potential

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dc.creatorBayona, C. A. Ballon
dc.creatorFerreira, Cristine N.
dc.date2008-01-01
dc.date2008-06-07
dc.date.accessioned2026-07-07T10:16:07Z
dc.date.available2026-07-07T10:16:07Z
dc.descriptionWe investigate the finite temperature quark anti-quark problem in a compact space $S^{n-1}\times S^1$ by considering static strings in global $AdS_{n+1}$ space with $n\ge 3$. For high temperatures we work in the black hole metric where two possible solutions show up : the big black hole and the small black hole. Using the AdS/CFT correspondence, we calculate the quark anti-quark potential (free energy) as a function of the distance. We show that this potential can be intrepeted as confining for the $AdS$ space and deconfining for the big black hole. We find for the small black hole a confining limit for the potential but this solution is instable following the Hawking-Page criteria. Our results for the free energy reinforce the Witten interpretation of the confinement/deconfinement transition as the dual of the well-known Hawking-Page transition.
dc.description8 pages, 8 figures. V3 with a new discussion of the relation between the Wilson loop considered in the article and the Polyakov loops. New figures and a correction of figure 1. Accepted for publication in PRD
dc.identifierhttps://arxiv.org/abs/0801.0305
dc.identifierhttp://arxiv.org/abs/0801.0305
dc.identifierPhys.Rev.D78:026004,2008
dc.identifierdoi:10.1103/PhysRevD.78.026004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173398
dc.subjectHigh Energy Physics - Theory
dc.titleStatic strings in global AdS space and quark anti-quark potential
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