Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-07-30
Phys.Rev.D78:115007,2008
Physics
High Energy Physics
High Energy Physics - Theory
5 pages, 3 figures. Title modified. Discussion extended and references modified
Scientific paper
10.1103/PhysRevD.78.115007
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/\pi T . 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 / \pi T.
Albacete Javier L.
Kovchegov Yuri V.
Taliotis Anastasios
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