{ "id": "cond-mat/0412018", "version": "v1", "published": "2004-12-01T13:05:25.000Z", "updated": "2004-12-01T13:05:25.000Z", "title": "Critical exponents for the FPL^2 model", "authors": [ "David Dei Cont", "Bernard Nienhuis" ], "comment": "30 pages, 5 figures", "categories": [ "cond-mat.stat-mech" ], "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.", "revisions": [ { "version": "v1", "updated": "2004-12-01T13:05:25.000Z" } ], "analyses": { "keywords": [ "critical exponents", "simplest charge excitation", "bethe ansatz solution", "coupled non-linear integral equations", "scaling dimension" ], "note": { "typesetting": "TeX", "pages": 30, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004cond.mat.12018D" } } }