{ "id": "hep-th/9701028", "version": "v3", "published": "1997-01-08T18:14:23.000Z", "updated": "1997-07-31T07:09:12.000Z", "title": "O(N) models within the local potential approximation", "authors": [ "Jordi Comellas", "Alex Travesset" ], "comment": "27 pages, LaTeX with psfig, 7 PostScript figures. One reference corrected and one added with respect to the journal version", "journal": "Nucl.Phys. B498 (1997) 539-564", "doi": "10.1016/S0550-3213(97)00349-0", "categories": [ "hep-th", "cond-mat.stat-mech", "hep-lat" ], "abstract": "Using Wegner-Houghton equation, within the Local Potential Approximation, we study critical properties of O(N) vector models. Fixed Points, together with their critical exponents and eigenoperators, are obtained for a large set of values of N, including N=0 and N\\to\\infty. Polchinski equation is also treated. The peculiarities of the large N limit, where a line of Fixed Points at d=2+2/n is present, are studied in detail. A derivation of the equation is presented together with its projection to zero modes.", "revisions": [ { "version": "v3", "updated": "1997-07-31T07:09:12.000Z" } ], "analyses": { "subjects": [ "11.10.Hi", "64.60.Fr" ], "keywords": [ "local potential approximation", "fixed points", "polchinski equation", "study critical properties", "large set" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier", "journal": "Nucl. Phys. B" }, "note": { "typesetting": "LaTeX", "pages": 27, "language": "en", "license": "arXiv", "status": "editable", "inspire": 439463 } } }