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arXiv · 1612.06374

Determination of CFT central charge by the Wang-Landau algorithm

P. A. Belov·A. A. Nazarov·A. O. Sorokin
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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.

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P. A. Belov, A. A. Nazarov, A. O. Sorokin. 2016-12-19. Determination of CFT central charge by the Wang-Landau algorithm. https://doi.org/10.1103/physreve.95.063308

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