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arXiv · 0807.4747

Heavy Quark Potential at Finite Temperature Using the Holographic Correspondence

Javier L. Albacete·Yuri V. Kovchegov·Anastasios Taliotis
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Abstract

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. and Brandhuber et al. is zero for separation distances r between the quark and the anti-quark 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 non-zero (negative definite) potential without a kink. The obtained potential also has a non-zero imaginary (absorptive) part for separations r > r_c = 0.870/πT . 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^4 for r > r_0 = 2.702 / πT.

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Javier L. Albacete, Yuri V. Kovchegov, Anastasios Taliotis. 2008-11-26. Heavy Quark Potential at Finite Temperature Using the Holographic Correspondence. https://doi.org/10.1103/physrevd.78.115007

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