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.

Tension of confining strings at low temperature

“…This is a reason that in confining gauge/gravity theories it is difficult to study the temperature dependence of certain observables. A way to overcome this problem was to introduce bottom-up models to phenomenologically study the static potential [10][11][12][13]. In our paper we capture part of the temperature dependence of the bound state quantities holographically using an alternative more natural method, the blackfold approach, where the string world-sheet corresponding to the Wilson loop, is modified by the thermal excitations generated by the finite temperature of the theory.…”

Vector meson quasinormal modes in a finite-temperature AdS/QCD model

“…An example is the hard-wall model which introduces a hard cut-off on the bulk geometry [10][11][12]. This model was also studied at finite temperature for example in [13].…”

Thermodynamics of AdS/QCD

“…With these parameters the 5d bulk Hawking-Page transition coincides with the 4d boundary one. With the same parameters one can then also compute the QQ free energy (see also [27,28] in the two phases. The significant role of the dilaton is apparent here, the deformation in the string frame is qualitatively different from that in the Einstein frame.…”