Heavy quark potential at finite temperature from gauge/string duality
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.
Cite
@article{arxiv.hep-th/0607038,
title = {Heavy quark potential at finite temperature from gauge/string duality},
author = {Henrique Boschi-Filho and Nelson R. F. Braga and Cristine N. Ferreira},
journal= {arXiv preprint arXiv:hep-th/0607038},
year = {2008}
}
Comments
Revision: V.3: Text improved, typos corrected, results unchanged, references added. We included a comparision between the low temperature corrections to the string tension in our model and the expected results for QCD. V.4: In this version we emphasize that our model is not appropriate for low temperatures. One more reference added