Abstract

I review a selection of recent finite temperature lattice results of the past years. First I discuss the extension of the equation of state towards high temperatures and fi- nite densities, then I show recent results on the QCD topological susceptibility at high temperatures and highlight its relevance for dark matter search.

Highlights

  • Quantum chromodynamics (QCD) is the underlying quantum field theory of the strong interaction that is probed in heavy ion experiments, such as the Relativistic Heavy Ion Collider (RHIC) at Brookhaven, and at the Large Hadron Collider (LHC) at CERN

  • The algorithmic difficulties that prevented the use of the light physical quark masses have been mostly overcome [2], and the systematics of the lattice discretization is under control by using sufficiently fine lattices and performing a continuum extrapolation, allowing lattice QCD to reconstruct the hadron spectrum [3, 4]

  • In this work we describe the progress towards finite densities, relevant for RHIC phenomenology, and towards higher temperatures which links QCD into the cosmological context

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Summary

Introduction

Quantum chromodynamics (QCD) is the underlying quantum field theory of the strong interaction that is probed in heavy ion experiments, such as the Relativistic Heavy Ion Collider (RHIC) at Brookhaven, and at the Large Hadron Collider (LHC) at CERN. The obtained data can be described by a grand canonical ensemble assuming a temperature and chemical potential which are referred to as chemical freeze-out parameters. This is a generalization of the earlier statistical hadronization model, which was based on particle yields instead of fluctuations [23, 24]. The fluctuation-based freeze-out temperatures lie in general below the original yield-based freeze-out curve [25] These achievements of lattice QCD are mostly limited to zero chemical potential and to neartransition temperatures. Of particular recent interest is the lattice calculation of the topological susceptibility in QCD, which provides the non-perturbative theoretical input for axion cosmology

Equation of state at high temperatures
Equation of state at finite density
Topological susceptibility at high temperatures
Findings
Summary
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