标题： 二维单纯复形量子引力中的伊辛相变——Regge 微积分可能是正确的吗？ 显示英文标题

标题： The Ising transition in 2D simplicial quantum gravity - can Regge calculus be right?

摘要： 我们报道了一项关于伊辛自旋与二维量子引力耦合的高统计模拟研究，采用Regge微积分方法，在最多包含$512^2$个顶点的三角化环面上进行。对于常面积系综和$dl/l$测度函数，我们可以明确排除动态三角化曲面预测的伊辛相变临界指数。相反，我们发现有力证据表明，临界指数与静态规则网格的Onsager值一致，且与$R^2$相互作用项的耦合强度无关。对于使用Misner测度格点版本的探索性模拟，情况则不那么清晰。 显示英文摘要

摘要： We report a high statistics simulation of Ising spins coupled to 2D quantum gravity in the Regge calculus approach using triangulated tori with up to $512^2$ vertices. For the constant area ensemble and the $dl/l$ functional measure we definitively can exclude the critical exponents of the Ising phase transition as predicted for dynamically triangulated surfaces. We rather find clear evidence that the critical exponents agree with the Onsager values for static regular lattices, independent of the coupling strength of an $R^2$ interaction term. For exploratory simulations using the lattice version of the Misner measure the situation is less clear.