标题： 三状态Potts模型中的SLE—数值研究 显示英文标题

标题： SLE in the three-state Potts model - a numerical study

摘要： 伊辛模型在域壁边界条件下的自旋簇边界的比例极限是kappa=3的SLE。 我们假设具有适当边界条件的三状态Potts模型的自旋簇边界在比例极限下也是SLE，但其kappa=10/3。 为了验证这一点，我们使用Wolff算法生成样本，并将其与SLE的预测进行对比：我们研究Loewner驱动函数的统计特性，估计分形维数，并与Schramm公式进行比较。 结果支持我们的假设。 显示英文摘要

摘要： The scaling limit of the spin cluster boundaries of the Ising model with domain wall boundary conditions is SLE with kappa=3. We hypothesise that the three-state Potts model with appropriate boundary conditions has spin cluster boundaries which are also SLE in the scaling limit, but with kappa=10/3. To test this, we generate samples using the Wolff algorithm and test them against predictions of SLE: we examine the statistics of the Loewner driving function, estimate the fractal dimension and test against Schramm's formula. The results are in support of our hypothesis.