Excluded-volume effects for a hadron gas in Yang-Mills theory

Abstract

When the multiplicities of particles produced in heavy-ion collisions are fitted to the hadron-resonance-gas model, excluded-volume effects play a significant role. In this work, we study the impact of such effects on the equation of state of pure Yang-Mills theory at low temperatures, comparing the predictions of the statistical model with lattice results. In particular, we present a detailed analysis of the SU(2) and SU(3) Yang-Mills theories: we find that, for both of them, the best fits to the equilibrium thermodynamic quantities are obtained when one assumes that the volume of different glueball states is inversely proportional to their mass. The implications of these findings for QCD are discussed.

1+24 pages, 4 pdf figures; v2 (1+23 pages, 4 pdf figures): discussion of the lattice setup shortened, comparison with previous work refined, discussion extended: version published in the journal

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• Criticality in a Hadron Resonance Gas model with the van der Waals interaction
• Flavor-dependent eigenvolume interactions in a hadron resonance gas
• Interacting hadron resonance gas model in K-matrix formalism
• Beth-Uhlenbeck approach for repulsive interactions between baryons in a hadron gas
• Monte Carlo approach to the excluded-volume hadron resonance gas in grand canonical and canonical ensembles
• Improved thermodynamics of SU(2) gauge theory
• Thermodynamics of a gas of hadrons with attractive and repulsive interaction within S-matrix formalism
• Thermodynamics of the Glueball Resonance Gas
• Hadron resonance gas with repulsive mean field interaction: Thermodynamics and transport properties
• The balance of attractive and repulsive hadronic interactions: the influence of hadronic spectrum and excluded volume effects on lattice thermodynamics and consequences on experiments
• Exploring the hadron resonance gas phase on the QCD phase diagram
• Critical exponents and transport properties near the QCD critical endpoint from the statistical bootstrap model
• Corrections to the hadron resonance gas from lattice QCD and their effect on fluctuation-ratios at finite density
• Universal descriptions of chemical freeze-out based on pressure and specific heat