{ "id": "1010.5322", "version": "v2", "published": "2010-10-26T07:02:36.000Z", "updated": "2011-03-15T15:45:44.000Z", "title": "Exact solution of N baryon problem in the Gross-Neveu model", "authors": [ "Christian Fitzner", "Michael Thies" ], "comment": "12 pages, 7 figures; v2: improved presentation, version accepted for publication", "journal": "Phys.Rev.D83:085001,2011", "doi": "10.1103/PhysRevD.83.085001", "categories": [ "hep-th" ], "abstract": "Recently it was shown that kink baryons and kink-antikink scattering in the massless Gross-Neveu model are closely related to one- and two-soliton solutions of the sinh-Gordon equation. Here we generalize these findings to the case of n kinks and antikinks. Using the known n soliton solution of the sinh-Gordon equation, we solve the general n kink-antikink scattering problem in the large N Gross-Neveu model analytically, mapping the time-dependent Hartree-Fock approach onto inverse scattering theory.", "revisions": [ { "version": "v2", "updated": "2011-03-15T15:45:44.000Z" } ], "analyses": { "subjects": [ "11.10.-z", "11.10.Kk" ], "keywords": [ "exact solution", "baryon problem", "sinh-gordon equation", "time-dependent hartree-fock approach", "inverse scattering theory" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review D", "year": 2011, "month": "Apr", "volume": 83, "number": 8, "pages": "085001" }, "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "inspire": 874449, "adsabs": "2011PhRvD..83h5001F" } } }