On the velocity and chemical-potential dependence of the heavy-quark interaction in N=4 SYM plasmas

TL;DR

This paper investigates how the interaction between a heavy quark-antiquark pair in N=4 SYM plasma depends on velocity and chemical potential, proposing a phenomenological law based on rotating D3-brane studies.

Contribution

It introduces a simple phenomenological law capturing velocity and R-charge dependence of the screening length in N=4 SYM plasma.

Findings

Velocity and chemical potential significantly affect the screening length.

The proposed law fits well with rotating D3-brane calculations.

Interaction effectively turns off beyond a certain maximal length.

Abstract

We consider the interaction of a heavy quark-antiquark pair moving in N=4 SYM plasma in the presence of non-vanishing chemical potentials. Of particular importance is the maximal length beyond which the interaction is practically turned off. We propose a simple phenomenological law that takes into account the velocity dependence of this screening length beyond the leading order and in addition its dependence on the R-charge. Our proposal is based on studies using rotating D3-branes.