Hot QCD equations of state and RHIC

TL;DR

This paper adapts hot QCD equations of state to predict properties of quark-gluon plasma at RHIC, using effective chemical potentials to incorporate interactions and studying screening and quarkonia dissociation.

Contribution

It introduces a method to derive equilibrium distribution functions from high-order QCD equations of state, enabling detailed analysis of plasma properties at RHIC.

Findings

Effective distribution functions capturing interaction effects.

Predictions for screening lengths in hot QCD.

Insights into heavy quarkonia dissociation phenomena.

Abstract

We show how hot QCD equations of states can be adapted to make definite predictions for quark-gluon plasma at RHIC. We consider equations of state up to $O(g^5)$ and $O[g^6(ln(1/g)+\delta)]$. Our method involves the extraction of equilibrium distribution functions for gluons and quarks from these equations of state by capturing the the interaction effects entirely in the effective chemical potentials. We further utilize these distribution functions to study the screening length in hot QCD and dissociation phenomenon of heavy quarkonia states by combining this understanding with the semi-classical transport theory.