{ "id": "cond-mat/0203588", "version": "v4", "published": "2002-03-28T11:57:56.000Z", "updated": "2002-11-28T23:53:16.000Z", "title": "Phase transition and critical behaviour of the d=3 Gross-Neveu model", "authors": [ "F. Hoefling", "C. Nowak", "C. Wetterich" ], "comment": "4 pages, 1 figure; v4 corresponds to the published article", "journal": "Phys.Rev. B66 (2002) 205111", "doi": "10.1103/PhysRevB.66.205111", "categories": [ "cond-mat.stat-mech", "hep-th" ], "abstract": "A second order phase transition for the three dimensional Gross-Neveu model is established for one fermion species N=1. This transition breaks a paritylike discrete symmetry. It constitutes its peculiar universality class with critical exponent \\nu = 0.63 and scalar and fermionic anomalous dimension \\eta_\\sigma = 0.31 and \\eta_\\psi = 0.11, respectively. We also compute critical exponents for other N. Our results are based on exact renormalization group equations.", "revisions": [ { "version": "v4", "updated": "2002-11-28T23:53:16.000Z" } ], "analyses": { "keywords": [ "critical behaviour", "second order phase transition", "exact renormalization group equations", "dimensional gross-neveu model", "critical exponent" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "inspire": 584780 } } }