论文标题

QCD临界端点周围的重子数量波动中的有限体积效应

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

论文作者

Bernhardt, Julian, Fischer, Christian S., Isserstedt, Philipp

论文摘要

我们介绍了QCD(猜想)临界终点附近巴属数量波动的体积依赖性的结果。它们是从非扰动夸克传播器中提取的,该传播器是作为解决一组截短的dyson--schwinger方程的解决方案($ 2 + 1 $) - Landau量表中的风味QCD,该方程将夸克的QCD带到Yang-mills部门的后耦合上。这个经过充分研究的系统预测在中等温度和相当大的化学潜力下的临界终点。我们在临界端点区域中对重子数量波动的影响和中等有限的三维,三维立方量进行了研究,并研究了对重子数波动的影响及其比率的第四阶。由于我们的截断局限性,结果在终点的临界缩放区域之外仅在定量上有意义。我们发现波动明显受到有限体积的影响,特别是对于反碘边界条件,而它们的比率实际上是不变的。

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.

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