{ "id": "1211.3351", "version": "v2", "published": "2012-11-14T16:30:55.000Z", "updated": "2014-09-08T11:19:08.000Z", "title": "The Continuum Limit of a Fermion System Involving Neutrinos: Weak and Gravitational Interactions", "authors": [ "Felix Finster" ], "comment": "95 pages, LaTeX, 1 figure, many small corrections, derivation of the effective action improved", "categories": [ "math-ph", "math.MP" ], "abstract": "We analyze the causal action principle for a system of relativistic fermions composed of massive Dirac particles and neutrinos. In the continuum limit, we obtain an effective interaction described by a left-handed, massive SU(2) gauge field and a gravitational field. The off-diagonal gauge potentials involve a unitary mixing matrix, which is similar to the Maki-Nakagawa-Sakata matrix in the standard model.", "revisions": [ { "version": "v1", "updated": "2012-11-14T16:30:55.000Z", "comment": "88 pages, LaTeX, 1 figure", "journal": null, "doi": null }, { "version": "v2", "updated": "2014-09-08T11:19:08.000Z" } ], "analyses": { "keywords": [ "continuum limit", "fermion system", "gravitational interactions", "causal action principle", "off-diagonal gauge potentials" ], "note": { "typesetting": "LaTeX", "pages": 95, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1203219, "adsabs": "2012arXiv1211.3351F" } } }