临界态下的二维非均匀经典系统
Two dimensional inhomogeneous classical systems at criticality
- CNRS, ENS de Lyon, Laboratoire de Physique（法国国家科学研究中心，里昂高等师范学校，物理实验室）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
该研究针对二维经典格点模型的非均匀形变，将其描述为弯曲空间中的共形场论，求解了伊辛模型和非均匀边界六顶点模型的相关问题，确定了北极曲线。
AI中文摘要：
我们研究了已知二维经典格点模型的简单非均匀形变，这些模型在大尺度下由共形场论（CFT）描述。所选形变在格点尺度上变化缓慢，同时保留临界行为。从整体来看，这类系统由弯曲空间中的CFT描述，我们确定了对应的空间度量。我们的两个例子是伊辛（Ising）模型和具有畴壁边界条件的六顶点模型，后者的边界也存在非均匀性，使分析更为复杂。不过，我们利用流体动力学求解了自由情况，在存在相互作用时，确定了分隔临界涨落区域与有序（冻结）相的北极曲线。
英文摘要：
We study simple inhomogeneous deformations of known two-dimensional classical lattice models described by conformal field theory (CFT) at large distances. The deformations are chosen to vary slowly at lattice scales, while preserving critical behavior. Globally, we find that such systems are described by a CFT in curved space, and identify the underlying space metric. Our two examples are the Ising model and the six vertex model with domain wall boundary conditions. In the latter boundaries are also inhomogeneous, which complicates the analysis. We nevertheless solve the free case using hydrodynamics. In the presence of interactions we determine the arctic curve which separates a critical fluctuating region from an ordered (frozen) phase.
