标题： 关于四维离散雷吉模型的连续统极限 显示英文标题

标题： On the Continuum Limit of the Discrete Regge Model in 4d

摘要： Regge 计算通过一个单纯格点近似连续流形，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。 这使得路径积分的计算评估更快。 格点场论中的一个主要问题是连续极限的存在，这需要存在连续相变。 最近提出的负引力耦合下四维 Regge 骨架的二阶相变可能是一个这样的候选。 我们通过蒙特卡洛模拟检查此区域并批判性地讨论其行为。 显示英文摘要

摘要： The Regge Calculus approximates 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. This makes the computational evaluation of the path integral much faster. A main concern in lattice field theories is the existence of a continuum limit which requires the existence of a continuous phase transition. The recently conjectured second-order transition of the four-dimensional Regge skeleton at negative gravity coupling could be such a candidate. We examine this regime with Monte Carlo simulations and critically discuss its behavior.