{ "id": "0806.3297", "version": "v2", "published": "2008-06-19T23:37:15.000Z", "updated": "2009-01-24T21:01:40.000Z", "title": "Ground State and Resonances in the Standard Model of Non-relativistic QED", "authors": [ "I. M. Sigal" ], "comment": "50 pages changes", "doi": "10.1007/s10955-009-9721-5", "categories": [ "math-ph", "math.MP", "math.SP" ], "abstract": "We prove existence of a ground state and resonances in the standard model of the non-relativistic quantum electro-dynamics (QED). To this end we introduce a new canonical transformation of QED Hamiltonians and use the spectral renormalization group technique with a new choice of Banach spaces.", "revisions": [ { "version": "v2", "updated": "2009-01-24T21:01:40.000Z" } ], "analyses": { "subjects": [ "81T10", "81T17" ], "keywords": [ "ground state", "standard model", "non-relativistic", "resonances", "spectral renormalization group technique" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Statistical Physics", "year": 2009, "month": "Mar", "volume": 134, "number": "5-6", "pages": 899 }, "note": { "typesetting": "TeX", "pages": 50, "language": "en", "license": "arXiv", "status": "editable", "inspire": 788839, "adsabs": "2009JSP...134..899S" } } }