Department of Physics, St. Petersburg State University, Ulyanovskaya 1, 198504 St. Petersburg, Russia.
Petersburg Nuclear Physics Institute NRC Kurchatov Institute, Orlova roscha 1, 188300 Gatchina, Russia.
Phys Rev E. 2017 Jun;95(6-1):063308. doi: 10.1103/PhysRevE.95.063308. Epub 2017 Jun 14.
We present a simple method to estimate the central charge of the conformal field theory corresponding to a critical point of a two-dimensional lattice model from Monte Carlo simulations. The main idea is to use the Wang-Landau flat-histogram algorithm, which allows us to obtain the free energy of a lattice model on a torus as a function of torus radii. The central charge is calculated with good precision from a free-energy scaling at the critical point. We apply the method to the Ising, tricritical Ising (Blume-Capel), Potts, and site-diluted Ising models, and we also discuss an estimation of the conformal weights.
我们提出了一种从蒙特卡罗模拟中估计二维格点模型临界点相应的共形场论的中心荷的简单方法。主要思想是使用 Wang-Landau 平直方图算法，该算法允许我们将环面上的格点模型的自由能作为环面半径的函数来获得。在临界点处，通过自由能标度可以很好地计算出中心荷。我们将该方法应用于 Ising、三临界点 Ising（Blume-Capel）、Potts 和点稀释 Ising 模型，并讨论了共形权重的估计。
