Hadron Resonance Gas Equation of State from Lattice QCD

Abstract

The Monte Carlo results in lattice QCD for the pressure and energy density at small temperature $T<155$ MeV and zero baryonic chemical potential are analyzed within the hadron resonance gas model. Two extensions of the ideal hadron resonance gas are considered: the excluded volume model which describes a repulsion of hadrons at short distances and Hagedorn model with the exponential mass spectrum. Considering both of these models one by one we do not find the conclusive evidences in favor of any of them. The controversial results appear because of rather different sensitivities of the pressure and energy density to both excluded volume and Hagedorn mass spectrum effects. On the other hand, we have found a clear evidence for a simultaneous presence of both of them. They lead to rather essential contributions: suppression effects for thermodynamical functions of the hadron resonance gas due to the excluded volume effects and enhancement due to the Hagedorn mass spectrum.

15 pages, 5 figures

References in corpus (6)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The equation of state in (2+1)-flavor QCD
• The QCD equation of state with dynamical quarks
• Matching Excluded Volume Hadron Resonance Gas Models and Perturbative QCD to Lattice Calculations
• Hadron Mass Spectrum from Lattice QCD
• Particle number fluctuations in nuclear collisions within excluded volume hadron gas model

Cited by in corpus (24)

• Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential
• Deconfining Phase Boundary of Rapidly Rotating Hot and Dense Matter and Analysis of Moment of Inertia
• Future Physics Perspectives on the Equation of State from Heavy Ion Collisions to Neutron Stars
• Quantum and stringy corrections to the equation of state of holographic QCD matter and the nature of the chiral transition
• Criticality in a Hadron Resonance Gas model with the van der Waals interaction
• Hadron resonance gas with van der Waals interactions
• Building a testable shear viscosity across the QCD phase diagram
• Fluctuations near the liquid-gas and chiral phase transitions in hadronic matter
• Bose-Einstein condensation phenomenology in systems with repulsive interactions
• Chemical freeze-out curve in heavy-ion collisions and the QCD critical point
• Interplay between chiral dynamics and repulsive interactions
• Thermalization in small system of hadron gas and high-multiplicity pp events
• Effect of finite volume on thermodynamics of quark-hadron matter
• Phase diagram of interacting pion matter and isospin charge fluctuations
• Fluidity of the system produced in relativistic pp and heavy-ion collisions: Hadron resonance gas model approach
• Critical exponents and transport properties near the QCD critical endpoint from the statistical bootstrap model
• Effect of Coriolis Force on Diffusion of D Meson
• Constraining the hadronic spectrum and repulsive interactions in a hadron resonance gas via fluctuations of conserved charges
• Finite size effect on the thermodynamics of a hot and magnetized hadron resonance gas
• Shear viscosity from perturbative Quantum Chromodynamics to the hadron resonance gas at finite baryon, strangeness, and electric charge densities
• Thermal fluctuations on the freeze-out surface of heavy-ion collisions and their impact on particle correlations
• A Chiral Mean-Field Equation-of-State in UrQMD: Effects on the Heavy Ion Compression Stage
• Lattice-based equation of state with a critical point from constant entropy contours and its comparison to effective QCD approaches
• Applicability of Hydrodynamics in Hadronic Phase of Heavy-Ion Collisions