Thermalization of holographic Wilson loops in spacetimes with spatial anisotropy

TL;DR

This paper investigates how Wilson loops thermalize in anisotropic quark-gluon plasma using holography, revealing orientation-dependent effects and faster thermalization in certain directions, with implications for understanding plasma dynamics.

Contribution

It introduces a holographic model for anisotropic plasma thermalization, analyzing Wilson loops' orientation effects and calculating related physical quantities like string tension and jet-quenching parameter.

Findings

Wilson loops in the transversal plane thermalize faster.

Anisotropic effects are more prominent in transversal Wilson loops.

Pseudopotential on the transversal plane exhibits screened Cornell form.

Abstract

In this paper, we study behaviour of Wilson loops in the boost-invariant nonequilibrium anisotropic quark-gluon plasma produced in heavy-ion collisions within the holographic approach. We describe the thermalization studying the evolution of the Vaidya metric in the boost-invariant and spatially anisotropic background. To probe the system during this process we calculate rectangular Wilson loops oriented in different spatial directions. We find that anisotropic effects are more visible for the Wilson loops lying in the transversal plane unlike the Wilson loops with partially longitudinal orientation. In particular, we observe that the Wilson loops can thermalizes first unlike to the order of the isotropic model. We see that Wilson loops on transversal contours have the shortest thermalization time. We also calculate the string tension and the pseudopotential at different temperatures for the static quark-gluon plasma. We show that the pseudopotential related to the configuration on the transversal plane has the screened Cornell form. We also show that the jet-quenching parameter related with the average of the light-like Wilson loop exhibits the dependence on orientations.