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

Understand

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.