A model density of states for Quarks and Gluons in QGP

TL;DR

This paper introduces an algebraic density of states model for quarks and gluons in QGP, fitted to lattice data, revealing insights into the phase evolution relevant for high-energy experiments.

Contribution

It proposes a new algebraic form for the density of states in QGP and determines its parameters using lattice gauge results, connecting theoretical modeling with experimental data.

Findings

Density of states rises linearly around 160-180 MeV

Model aligns with lattice gauge results on sound velocity

Provides insights into QGP phase evolution

Abstract

We propose an algebraic form for the density of states of quarks and gluons in a Quark-Gluon Plasma (QGP) fireball in quasi-equilibrium with a hadronic medium as $\rho(k)= \frac {\alpha}{k} + {\beta}k + {\delta}k^{2}$, and determine the parameters $\alpha$, $\beta$ and $\delta$ using Lattice Gauge results on the velocity of sound in QGP. The behaviour of the resulting $\rho(k)$ can be easily compared with the thermodynamic data on QGP that is expected from LHC and other RHIC experiments. Our numerical result shows a linear rise of the value of $\rho(k)$ for $k\sim T \approx 160 to 180 MeV$, which is significant, and throws light on the evolution of the QGP phase.