{ "id": "1403.6003", "version": "v3", "published": "2014-03-24T15:32:53.000Z", "updated": "2014-10-21T14:38:21.000Z", "title": "Critical exponents of the 3d Ising and related models from Conformal Bootstrap", "authors": [ "Ferdinando Gliozzi", "Antonio Rago" ], "comment": "Latex, 19 pages, 9 figures, v3: replaced to match published version on JHEP", "categories": [ "hep-th", "cond-mat.stat-mech", "hep-lat" ], "abstract": "The constraints of conformal bootstrap are applied to investigate a set of conformal field theories in various dimensions. The prescriptions can be applied to both unitary and non unitary theories allowing for the study of the spectrum of low-lying primary operators of the theory. We evaluate the lowest scaling dimensions of the local operators associated with the Yang-Lee edge singularity for $2 \\le D \\le 6$. Likewise we obtain the scaling dimensions of six scalars and four spinning operators for the 3d critical Ising model. Our findings are in agreement with existing results to a per mill precision and estimate several new exponents.", "revisions": [ { "version": "v2", "updated": "2014-04-11T10:35:52.000Z", "comment": "Latex, 19 pages, 9 figures, v2: Added comments two figures and one table, improved errors estimate on the 3d Ising model part", "journal": null, "doi": null }, { "version": "v3", "updated": "2014-10-21T14:38:21.000Z" } ], "analyses": { "keywords": [ "conformal bootstrap", "related models", "critical exponents", "3d ising", "conformal field theories" ], "tags": [ "journal article" ], "publication": { "doi": "10.1007/JHEP10(2014)042", "journal": "Journal of High Energy Physics", "year": 2014, "month": "Oct", "volume": 2014, "pages": 42 }, "note": { "typesetting": "LaTeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1286905, "adsabs": "2014JHEP...10..042G" } } }