Determination of CFT central charge by the Wang-Landau algorithm
Statistical Mechanics
2017-06-19 v1
Abstract
We propose 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 a 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 also discuss estimation of conformal weights.
Keywords
Cite
@article{arxiv.1612.06374,
title = {Determination of CFT central charge by the Wang-Landau algorithm},
author = {P. A. Belov and A. A. Nazarov and A. O. Sorokin},
journal= {arXiv preprint arXiv:1612.06374},
year = {2017}
}
Comments
8 pages, 12 figures