The beta function and equation of state for QCD with two flavors of quarks

TL;DR

This paper presents measurements of the pressure, energy density, and beta function in two-flavor QCD across various quark masses and temperatures, providing non-perturbative insights into the equation of state.

Contribution

It introduces new Monte Carlo simulations to determine the QCD beta function and anomalous quark mass dimension, enhancing understanding of QCD thermodynamics.

Findings

Non-perturbative values for energy density and pressure

Measurement of the QCD beta function and anomalous dimension

Calculation of the interaction measure E-3p

Abstract

We measure the pressure and energy density of two flavor QCD in a wide range of quark masses and temperatures. The pressure is obtained from an integral over the average plaquette or psi-bar-psi. We measure the QCD beta function, including the anomalous dimension of the quark mass, in new Monte Carlo simulations and from results in the literature. We use it to find the interaction measure, E-3p, yielding non-perturbative values for both the energy density E and the pressure p. uuencoded compressed PostScript file Revised version should work on more PostScript printers.