Critical endpoint of QCD in a finite volume

Abstract

We investigate the impact of finite volume and the corresponding restrictions on long-range correlations on the location of the critical endpoint in the QCD phase diagram. To this end, we employ a sophisticated combination of lattice Yang--Mills theory and a (truncated) version of Dyson--Schwinger equations in Landau gauge for $2+1$ quark flavors that has been studied extensively in the past. In the infinite-volume limit, this system predicts a critical endpoint at moderate temperature and large chemical potential. We study this system at small and intermediate volumes and determine the dependence of the location of the critical endpoint on the boundary conditions and the volume of a three-dimensional cube with edge length $L$. We demonstrate that noticeable volume effects of more than five percent only occur for $L\lesssim 5\text{fm}$ and that volumes as large as $L^3\gtrsim (8\text{fm}{)}^3$ are very close to the infinite-volume limit.

arXiv comment10 pages, 5 figures; v2: extended version including the zero mode, minor title change, version published in PRD

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• Volume effects on the QCD critical end point from thermal fluctuations within the super statistics framework
• Chemical Freeze-out Parameters via a Non-perturbative QCD Approach
• Resummed lattice QCD equation of state at finite baryon density: strangeness neutrality and beyond