Wilson loops in (p+1)-dimensional Yang-Mills theories using gravity/gauge theory correspondence

TL;DR

This paper calculates Wilson loop expectation values in strongly coupled (p+1)-dimensional Yang-Mills plasmas using gravity/gauge theory duality, deriving quark-antiquark potentials, screening lengths, and jet quenching parameters.

Contribution

It provides new computations of Wilson loops, quark-antiquark potentials, and jet quenching parameters in higher-dimensional strongly coupled plasmas via gauge/gravity correspondence.

Findings

Derived velocity-dependent quark-antiquark potentials.

Obtained screening lengths for moving dipoles.

Calculated jet quenching parameters in strongly coupled plasma.

Abstract

We compute the expectation values of both the time-like and the light-like Wilson loops in a strongly coupled plasma of (p+1)-dimensional Yang-Mills theories using gravity/gauge theory correspondence. From the time-like Wilson loop we obtain the velocity dependent quark-antiquark potential where the dipole is moving through the plasma with an arbitrary velocity 0<v<1 and also obtain expressions for the screening lengths. When the velocity v--> 1, the Wilson loop becomes light-like and we obtain the form of the jet quenching parameter in those strongly coupled plasma.