$R^2$ curvature-squared corrections on drag force

TL;DR

This paper investigates how curvature-squared corrections in gravity duals influence the drag force on heavy quarks in a plasma, revealing velocity-dependent effects and calculating related diffusion coefficients.

Contribution

It introduces finite-coupling curvature-squared corrections to the holographic calculation of drag force and explores their impact, including in Gauss-Bonnet gravity backgrounds.

Findings

Curvature-squared corrections modify the drag force.

Corrections depend on the quark's velocity.

Diffusion coefficient for non-relativistic quarks is computed.

Abstract

The effect of finite-coupling corrections to the drag force on a moving heavy quark in the Super Yang-Mills plasma is investigated. These corrections are related to curvature-squared corrections in the corresponding gravity dual. The results are compared with the dual gauge theory. It is shown that curvature-squared corrections affect the drag force. It is shown that corrections to the drag force depend on the velocity of the heavy quark. The diffusion coefficient of non-relativistic heavy quarks is calculated from the drag force. In addition, we also calculate the drag force on a moving heavy quark in the Gauss-Bonnet background.