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Heavy quark potential at finite temperature from gauge/string duality

Henrique Boschi-Filho·Nelson R. F. Braga·Cristine N. Ferreira
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Abstract

A static string in an AdS Schwarzschild space is dual to a heavy quark anti-quark pair in a gauge theory at high temperature. This space is non confining in the sense that the energy is finite for infinite quark anti-quark separation. We introduce an infrared cut off in this space and calculate the corresponding string energy. We find a deconfining phase transition at a critical temperature T_C. Above T_C the string tension vanishes representing the deconfined phase. Below T_C we find a linear confining behavior for large quark anti-quark separation. This simple phenomenological model leads to the appropriate zero temperature limit, corresponding to the Cornell potential and also describes a thermal deconfining phase transition. However the temperature corrections to the string tension do not recover the expected results for low temperatures.

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Henrique Boschi-Filho, Nelson R. F. Braga, Cristine N. Ferreira. 2006-09-19. Heavy quark potential at finite temperature from gauge/string duality. https://doi.org/10.1103/physrevd.74.086001

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