skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Abstract

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 linearmore » 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.« less

Authors:
; ; ;  [1]
  1. Ernest Rutherford Physics Building, McGill University, 3600 University Street, Montreal Quebec, H3A 2T8 (Canada)
Publication Date:
OSTI Identifier:
21410170
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 82; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.82.026004; (c) 2010 The American Physical Society; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Mia, Mohammed, Dasgupta, Keshav, Gale, Charles, and Jeon, Sangyong. Toward large N thermal QCD from dual gravity: The heavy quarkonium potential. United States: N. p., 2010. Web. doi:10.1103/PHYSREVD.82.026004.
Mia, Mohammed, Dasgupta, Keshav, Gale, Charles, & Jeon, Sangyong. Toward large N thermal QCD from dual gravity: The heavy quarkonium potential. United States. https://doi.org/10.1103/PHYSREVD.82.026004
Mia, Mohammed, Dasgupta, Keshav, Gale, Charles, and Jeon, Sangyong. 2010. "Toward large N thermal QCD from dual gravity: The heavy quarkonium potential". United States. https://doi.org/10.1103/PHYSREVD.82.026004.
@article{osti_21410170,
title = {Toward large N thermal QCD from dual gravity: The heavy quarkonium potential},
author = {Mia, Mohammed and Dasgupta, Keshav and Gale, Charles and Jeon, Sangyong},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.82.026004},
url = {https://www.osti.gov/biblio/21410170}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 2,
volume = 82,
place = {United States},
year = {Thu Jul 15 00:00:00 EDT 2010},
month = {Thu Jul 15 00:00:00 EDT 2010}
}