Heavy-quark potential at finite temperature using the holographic correspondence

Journal Article · Mon Dec 01 04:00:00 EST 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.115007· OSTI ID:21251037

Albacete, Javier L; Kovchegov, Yuri V; Taliotis, Anastasios ^[1]

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1. Department of Physics, Ohio State University, Columbus, Ohio 43210 (United States)

We revisit the calculation of a heavy-quark potential in N=4 supersymmetric Yang-Mills theory at finite temperature using the AdS/CFT correspondence. As is widely known, the potential calculated in the pioneering works of Rey et al.[Nucl. Phys. B527, 171 (1998)] and Brandhuber et al.[Phys. Lett. B 434, 36 (1998)] is zero for separation distances r between the quark and the antiquark above a certain critical separation, at which the potential has a kink. We point out that by analytically continuing the string configurations into the complex plane, and using a slightly different renormalization subtraction, one obtains a smooth nonzero (negative definite) potential without a kink. The obtained potential also has a nonzero imaginary (absorptive) part for separations r>r{sub c}=0.870/{pi}T. Most importantly, at large separations r the real part of the potential does not exhibit the exponential Debye falloff expected from perturbation theory and instead falls off as a power law, proportional to 1/r{sup 4} for r>r{sub 0}=2.702/{pi}T.

• OSTI ID: 21251037
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 11 Vol. 78; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
B QUARKS
C QUARKS
CONFIGURATION
HOLOGRAPHY
PERTURBATION THEORY
POTENTIALS
QUANTUM FIELD THEORY
QUARK-ANTIQUARK INTERACTIONS
RENORMALIZATION
STRING MODELS
SUPERSYMMETRY
T QUARKS
YANG-MILLS THEORY