Memory effect on the heavy quark dynamics in hot QCD matter

TL;DR

This paper investigates how memory effects, modeled via fractional calculus, influence heavy quark behavior in hot QCD matter, revealing significant impacts on their momentum and energy distributions.

Contribution

It introduces a fractional Langevin equation with power-law correlated noise to study memory effects on heavy quark dynamics in quark-gluon plasma.

Findings

Memory effects alter momentum correlation and energy evolution.

Time correlated thermal noise significantly impacts heavy quark behavior.

Higher moments of transverse momentum distribution are affected by memory.

Abstract

We study the heavy quark dynamics in the presence of memory within the framework of a generalized Langevin equation. Time correlated thermal noise with power-law decay is generated by a fractional differential equation, formulated using the Caputo fractional derivative with order parameter $\nu$. The effect of memory is calculated through the momentum correlation, the time evolution of the average squared momentum, the average squared displacement, and the average kinetic energy. The effect of memory is further studied for the higher normalised central moments of the heavy quark transverse-momentum distribution. The results indicate that time correlated thermal noise substantially influences heavy quark dynamics in the quark gluon plasma.