标题： 伊辛自旋与四维离散雷吉骨架耦合 显示英文标题

标题： Ising spins coupled to a four-dimensional discrete Regge skeleton

摘要： Regge 计算是一种通过单纯形格点来近似连续流形的有力方法，保持底层格点的连通性固定，并将边长作为自由度。 本文中使用的离散 Regge 模型将链接长度的选择限制为有限数量。 为了更精确地了解四维离散 Regge 模型的行为，我们将自旋耦合到波动的流形上。 我们研究了自旋系统的相变和相关的临界指数。 结果来自于蒙特卡罗模拟的有限尺寸标度分析。 我们发现与静态四维格点上的 Ising 模型的平均场理论一致。 显示英文摘要

摘要： Regge calculus is a powerful method to approximate a continuous manifold by a simplicial lattice, keeping the connectivities of the underlying lattice fixed and taking the edge lengths as degrees of freedom. The discrete Regge model employed in this work limits the choice of the link lengths to a finite number. To get more precise insight into the behavior of the four-dimensional discrete Regge model, we coupled spins to the fluctuating manifolds. We examined the phase transition of the spin system and the associated critical exponents. The results are obtained from finite-size scaling analyses of Monte Carlo simulations. We find consistency with the mean-field theory of the Ising model on a static four-dimensional lattice.