{ "id": "cond-mat/0402625", "version": "v1", "published": "2004-02-25T15:15:43.000Z", "updated": "2004-02-25T15:15:43.000Z", "title": "Third-neighbor and other four-point correlation functions of spin-1/2 XXZ chain", "authors": [ "Go Kato", "Masahiro Shiroishi", "Minoru Takahashi", "Kazumitsu Sakai" ], "comment": "34 pages", "journal": "J.Phys.A37:5097-5123,2004", "doi": "10.1088/0305-4470/37/19/001", "categories": [ "cond-mat.stat-mech", "hep-th", "math-ph", "math.MP", "nlin.SI" ], "abstract": "The correlation functions of the spin-1/2 XXZ chain in the ground state were expressed in the form of multiple integrals for -1<\\Delta \\leq 1 and 1<\\Delta. In particular, adjacent four-point correlation functions were given as certain four-dimensional integrals. We show that these integrals can be reduced to polynomials with respect to specific one-dimensional integrals. The results give the polynomial representation of the third-neighbor correlation functions.", "revisions": [ { "version": "v1", "updated": "2004-02-25T15:15:43.000Z" } ], "analyses": { "keywords": [ "xxz chain", "adjacent four-point correlation functions", "specific one-dimensional integrals", "third-neighbor correlation functions", "multiple integrals" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Physics A Mathematical General", "year": 2004, "month": "May", "volume": 37, "number": 19, "pages": 5097 }, "note": { "typesetting": "TeX", "pages": 34, "language": "en", "license": "arXiv", "status": "editable", "inspire": 645383, "adsabs": "2004JPhA...37.5097K" } } }