{ "id": "hep-th/0605285", "version": "v1", "published": "2006-05-30T08:23:41.000Z", "updated": "2006-05-30T08:23:41.000Z", "title": "Critical exponents for higher-representation sources in 3D SU(3) gauge theory from CFT", "authors": [ "Ferdinando Gliozzi", "Silvia Necco" ], "comment": "15 pages, 2 figures", "journal": "JHEP0606:065,2006", "doi": "10.1088/1126-6708/2006/06/065", "categories": [ "hep-th", "cond-mat.stat-mech", "hep-lat" ], "abstract": "We establish an exact mapping between the multiplication table of the irreducible representations of SU(3) and the fusion algebra of the two-dimensional conformal field theory in the same universality class of 3D SU(3) gauge theory at the deconfining point. In this way the Svetitsky-Yaffe conjecture on the critical behaviour of Polyakov lines in the fundamental representation naturally extends to whatever representation one considers. As a consequence, the critical exponents of the correlators of these Polyakov lines are determined. Monte Carlo simulations with sources in the symmetric two-index representation, combined with finite-size scaling analysis, compare very favourably with these predictions.", "revisions": [ { "version": "v1", "updated": "2006-05-30T08:23:41.000Z" } ], "analyses": { "keywords": [ "gauge theory", "3d su", "critical exponents", "higher-representation sources", "two-dimensional conformal field theory" ], "tags": [ "journal article" ], "publication": { "publisher": "IOP", "journal": "Journal of High Energy Physics", "year": 2006, "month": "Jun", "volume": 2006, "number": 6, "pages": "065" }, "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "inspire": 717973, "adsabs": "2006JHEP...06..065G" } } }