{ "id": "hep-ph/0702295", "version": "v2", "published": "2007-02-28T20:03:08.000Z", "updated": "2007-03-06T14:37:50.000Z", "title": "The Effective Potential, the Renormalisation Group and Vacuum Stability", "authors": [ "Martin B. Einhorn", "D. R. Timothy Jones" ], "comment": "23 pages; 5 figures; v2 includes minor changes in text and additional references", "journal": "JHEP 0704:051,2007", "doi": "10.1088/1126-6708/2007/04/051", "categories": [ "hep-ph", "hep-lat", "hep-th" ], "abstract": "We review the calculation of the the effective potential with particular emphasis on cases when the tree potential or the renormalisation-group-improved, radiatively corrected potential exhibits non-convex behaviour. We illustrate this in a simple Yukawa model which exhibits a novel kind of dimensional transmutation. We also review briefly earlier work on the Standard Model. We conclude that, despite some recent claims to the contrary, it can be possible to infer reliably that the tree vacuum does not represent the true ground state of the theory.", "revisions": [ { "version": "v2", "updated": "2007-03-06T14:37:50.000Z" } ], "analyses": { "keywords": [ "effective potential", "vacuum stability", "renormalisation group", "true ground state", "review briefly earlier work" ], "tags": [ "journal article" ], "publication": { "publisher": "IOP", "journal": "Journal of High Energy Physics", "year": 2007, "month": "Apr", "volume": 2007, "number": 4, "pages": "051" }, "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "inspire": 745498, "adsabs": "2007JHEP...04..051E" } } }