Finite-volume effects in baryon number fluctuations around the QCD critical endpoint

Abstract

We present results for the volume dependence of baryon number fluctuations in the vicinity of the (conjectured) critical endpoint of QCD. They are extracted from the nonperturbative quark propagator that is obtained as a solution to a set of truncated Dyson--Schwinger equations of ($2+1$)-flavor QCD in Landau gauge, which takes the backcoupling of quarks onto the Yang--Mills sector explicitly into account. This well-studied system predicts a critical endpoint at moderate temperatures and rather large chemical potential. We investigate this system at small and intermediate finite, three-dimensional, cubic volumes and study the resulting impact on baryon number fluctuations and ratios thereof up to fourth order in the region of the critical endpoint. Due to the limitations of our truncation, the results are quantitatively meaningful only outside the critical scaling region of the endpoint. We find that the fluctuations are visibly affected by the finite volume, particularly for antiperiodic boundary conditions, whereas their ratios are practically invariant.

8 pages, 5 figures; v2: extended version including explanations about limitations of our approach, version published in PLB

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Cited by in corpus (6)

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• Spatially oscillating correlation functions in $\left(2+1\right)$-dimensional four-fermion models: The mixing of scalar and vector modes at finite density
• QCD Phase Diagram and the Finite Volume Fireball: A Model Study
• Effect of finite volume on thermodynamics of quark-hadron matter
• Finite size effects on the phase diagram and the baryon fluctuations via momentum space constraints