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We present results for the volume dependence of baryon number fluctuations inthe vicinity of the (conjectured) critical endpoint of QCD. They are extractedfrom the nonperturbative quark propagator that is obtained as a solution to aset of truncated Dyson--Schwinger equations of ($2 + 1$)-flavor QCD in Landaugauge, which takes the backcoupling of quarks onto the Yang--Mills sectorexplicitly into account. This well-studied system predicts a critical endpointat moderate temperatures and rather large chemical potential. We investigatethis system at small and intermediate finite, three-dimensional, cubic volumesand study the resulting impact on baryon number fluctuations and ratios thereofup to fourth order in the region of the critical endpoint. Due to thelimitations of our truncation, the results are quantitatively meaningful onlyoutside the critical scaling region of the endpoint. We find that thefluctuations are visibly affected by the finite volume, particularly forantiperiodic boundary conditions, whereas their ratios are practicallyinvariant.

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