{ "id": "cond-mat/0111188", "version": "v2", "published": "2001-11-10T06:06:41.000Z", "updated": "2002-02-07T02:47:57.000Z", "title": "Completeness of the Bethe ansatz for the six and eight-vertex models", "authors": [ "R. J. Baxter" ], "comment": "40 pages, no figures", "journal": "J.Statist.Phys. 108 (2002) 1-48", "categories": [ "cond-mat.stat-mech", "hep-th", "math-ph", "math.MP" ], "abstract": "We discuss some of the difficulties that have been mentioned in the literature in connection with the Bethe ansatz for the six-vertex model and XXZ chain, and for the eight-vertex model. In particular we discuss the ``beyond the equator'', infinite momenta and exact complete string problems. We show how they can be overcome and conclude that the coordinate Bethe ansatz does indeed give a complete set of states, as expected.", "revisions": [ { "version": "v2", "updated": "2002-02-07T02:47:57.000Z" } ], "analyses": { "keywords": [ "eight-vertex model", "completeness", "coordinate bethe ansatz", "exact complete string problems", "six-vertex model" ], "tags": [ "journal article" ], "publication": { "doi": "10.1023/A:1015437118218" }, "note": { "typesetting": "TeX", "pages": 40, "language": "en", "license": "arXiv", "status": "editable", "inspire": 570834, "adsabs": "2001cond.mat.11188B" } } }