Toward large N thermal QCD from dual gravity: The heavy quarkonium potential

Journal Article · Thu Jul 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.026004· OSTI ID:21410170

Mia, Mohammed; Dasgupta, Keshav; Gale, Charles; Jeon, Sangyong ^[1]

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1. Ernest Rutherford Physics Building, McGill University, 3600 University Street, Montreal Quebec, H3A 2T8 (Canada)

We continue our study on the gravity duals for strongly coupled large N QCD with fundamental flavors both at zero and nonzero temperatures. The gravity dual at zero temperature captures the logarithmic runnings of the coupling constants at far IR and the almost conformal, albeit strongly coupled, behavior at the UV. The full UV completion of gauge theory is accomplished in the gravity side by attaching an anti-de Sitter cap to the IR geometry described in our previous work. Attaching such an anti-de Sitter cap is highly nontrivial because it amounts to finding the right interpolating geometry and sources that take us from a gravity solution with nonzero three-form fluxes to another one that has almost vanishing three-form fluxes. In this paper we give a concrete realization of such a scenario, completing the program advocated in our earlier paper. One of the main advantages of having such a background, in addition to providing a dual description of the required gauge theory, is the absence of Landau poles and consequently the UV divergences of the Wilson loops. The potential for the heaviest fundamental quark-antiquark pairs, which are like the heavy quarkonium states in realistic QCD, can be computed and their linear behavior at large separations and zero temperature could be demonstrated. At small separations the expected Coulombic behavior appears to dominate. On the other hand, at nonzero temperatures interesting properties like heavy quarkonium-type suppressions and melting are shown to emerge from our gravity dual. We provide some discussions of the melting temperature and compare our results with the charmonium spectrum and lattice simulations. We argue that, in spite of the large N nature of our construction, certain model-independent predictions can be made.

• OSTI ID: 21410170
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 2; Other Information: DOI: 10.1103/PhysRevD.82.026004; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER SPACE
CAPTURE
CHARMONIUM
COMPARATIVE EVALUATIONS
COMPUTERIZED SIMULATION
CONSTRUCTION
COUPLING CONSTANTS
FLAVOR MODEL
FORECASTING
GAUGE INVARIANCE
GRAVITATION
LATTICE FIELD THEORY
MATHEMATICAL SOLUTIONS
QUANTUM CHROMODYNAMICS
QUARK-ANTIQUARK INTERACTIONS
SPECTRA
STRONG-COUPLING MODEL
WILSON LOOP
BOSONS
COMPOSITE MODELS
CONSTRUCTIVE FIELD THEORY
ELEMENTARY PARTICLES
EVALUATION
FIELD THEORIES
HADRONS
INTERACTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MESONS
PARTICLE INTERACTIONS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKONIUM
SIMULATION
SPACE