Equation of State in Quantum Chromodynamics

TL;DR

This paper derives a comprehensive equation of state for quark-gluon plasma across various coupling strengths and temperatures using advanced summation techniques for perturbative series.

Contribution

It introduces a novel method combining perturbative expansions with self-similar approximation theory to accurately model the quark-gluon plasma's equation of state.

Findings

Equation valid for arbitrary coupling and temperature

Summation of asymptotic series achieved via self-similar approximation

Provides a new framework for studying quark-gluon plasma properties

Abstract

The equation of state for quark-gluon plasma is obtained, being valid for arbitrary values of the coupling parameter and of temperature. This equation is constructed from perturbative expansions for free energy and for renormalization function. Summation of asymptotic perturbative series is accomplished by means of the self-similar approximation theory.