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Critical exponents for the FPL^2 model

David Dei Cont·Bernard Nienhuis
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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.

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David Dei Cont, Bernard Nienhuis. 2004-12-01. Critical exponents for the FPL^2 model. https://arxiv.org/abs/cond-mat/0412018

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