Liquid behavior of hot QGP in the finite temperature field theory

TL;DR

This paper investigates the liquid-like behavior of hot quark-gluon plasma by analyzing dispersion relations and static potential oscillations, revealing damping oscillations characteristic of a liquid state in finite temperature field theory.

Contribution

It compares hard thermal loop and complete one-loop dispersion relations, identifying a threshold frequency that influences static potential oscillations in hot QGP.

Findings

Presence of a threshold frequency below which no pure imaginary mode exists

Oscillatory static in-medium potential observed

Damping oscillation in the radial distribution function indicative of liquid QGP

Abstract

In this paper, we compare the dispersion relations of hard thermal loop and complete one loop. It is shown that in the dynamical screening regime, the completely one-loop calculation presents a prominent threshold frequency, below which no pure imaginary mode survives. This phenomenon is responsible for the oscillatory static in-medium potential and ultimately results in a damping oscillation of the radial distribution function. We consider this typical shape is the footprint of liquid QGP.