Critical exponents for the FPL^2 model
Statistical Mechanics
2007-05-23 v1
Abstract
Starting from the Bethe ansatz solution we derive a set of coupled non-linear integral equations for the fully packed double loop model (FPL^2) on the square lattice. As an application we find exact expressions for the central charge and for the scaling dimension corresponding to the simplest charge excitation. We study numerically the low-lying excitations corresponding to more general perturbations of the ground state and discover that the corresponding scaling dimensions are well described by the Cartan matrix of sl_4.
Cite
@article{arxiv.cond-mat/0412018,
title = {Critical exponents for the FPL^2 model},
author = {David Dei Cont and Bernard Nienhuis},
journal= {arXiv preprint arXiv:cond-mat/0412018},
year = {2007}
}
Comments
30 pages, 5 figures