标题： 高维临界现象中的普遍有限尺寸标度 显示英文标题

标题： Universal finite-size scaling in high-dimensional critical phenomena

摘要： 我们提出了一种新的统一理论，用于具有周期性边界条件的格点统计力学模型在上临界维度以上的临界有限尺寸标度。 普遍的有限尺寸标度是从系统展开到无限晶格的标度中继承而来的。 威耳逊重正化群分析确定了磁化率和两点函数平台的普遍轮廓。 我们的理论基于线性和分支聚合物、多组分自旋系统和渗流的最新数学严格结果。 包括短程和长程相互作用。 在自由边界条件下，普遍标度适用于伪临界点。 显示英文摘要

摘要： We present a new unified theory of critical finite-size scaling for lattice statistical mechanical models with periodic boundary conditions above the upper critical dimension. The universal finite-size scaling is inherited from the scaling of the system unwrapped to the infinite lattice. A Wilsonian renormalisation group analysis determines a universal profile for the susceptibility and two-point function plateau. Our theory is based on recent mathematically rigorous results for linear and branched polymers, multi-component spin systems, and percolation. Both short-range and long-range interactions are included. With free boundary conditions, the universal scaling applies at a pseudocritical point.