Higher derivative corrections to the entropic force from holography

TL;DR

This paper investigates how higher derivative corrections in holography influence the entropic force, revealing that Gauss-Bonnet and 't Hooft coupling corrections have opposite effects on the force, with implications for quarkonium dissociation.

Contribution

It provides a detailed analysis of $R^2$ and $R^4$ corrections to the entropic force within holographic models, highlighting their contrasting impacts.

Findings

Increasing Gauss-Bonnet factor increases the entropic force.

Increasing 't Hooft coupling decreases the entropic force.

The entropic force varies with the shear viscosity to entropy ratio at strong coupling.

Abstract

The entropic force has been recently argued to be responsible for dissociation of heavy quarkonia. In this paper, we analyze $R^2$ corrections and $R^4$ corrections to the entropic force, respectively. It is shown that for $R^2$ corrections, increasing $\lambda_{GB}$ (Gauss-Bonnet factor) leads to increasing the entropic force. While for $R^4$ corrections, increasing $\lambda$ ('t Hooft coupling) leads to decreasing the entropic force. Also, we discuss how the entropic force changes with the shear viscosity to entropy density ratio, $\eta/s$, at strong coupling.