Memory effect on the heavy quark dynamics in hot QCD matter
Jai Prakash, Ling Hai Li, Ying Shan Zhao, Yifeng Sun
TLDR
This paper investigates the memory effect on heavy quark dynamics in hot QCD matter using a generalized Langevin equation with fractional derivatives.
Key contributions
- Studies heavy quark dynamics in hot QCD matter using a generalized Langevin equation.
- Introduces memory effect via time-correlated thermal noise from a fractional differential equation.
- Analyzes momentum correlation, squared momentum, displacement, and kinetic energy.
- Examines higher central moments of heavy quark transverse-momentum distribution.
Why it matters
Understanding heavy quark dynamics in quark-gluon plasma is crucial for characterizing this extreme state of matter. This work reveals that memory effects, often neglected, significantly alter these dynamics. It provides a more accurate description of heavy quark evolution in hot QCD.
Original 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 $ν$. 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.
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