{ "id": "1901.09604", "version": "v1", "published": "2019-01-28T11:19:39.000Z", "updated": "2019-01-28T11:19:39.000Z", "title": "Correlation functions of the XXZ spin chain with the twisted boundary condition", "authors": [ "Yi Qiao", "Zhirong Xin", "Xiaotian Xu", "Kun Hao", "Tao Yang", "Junpeng Cao", "Wen-Li Yang" ], "comment": "26 pages, no figure", "categories": [ "math-ph", "math.MP", "nlin.SI" ], "abstract": "The scalar products, form factors and correlation functions of the XXZ spin chain with twisted (or antiperiodic) boundary condition are obtained based on the inhomogeneous $T-Q$ relation and the Bethe states constructed via the off-diagonal Bethe Ansatz. It is shown that the scalar product of two off-shell Bethe states, the form factors and the two-point correlation functions can be expressed as the summation of certain determinants. The corresponding homogeneous limits are studied. The results are also checked by the numerical calculations.", "revisions": [ { "version": "v1", "updated": "2019-01-28T11:19:39.000Z" } ], "analyses": { "keywords": [ "xxz spin chain", "twisted boundary condition", "form factors", "scalar product", "two-point correlation functions" ], "note": { "typesetting": "TeX", "pages": 26, "language": "en", "license": "arXiv", "status": "editable" } } }