{ "id": "hep-th/9408024", "version": "v1", "published": "1994-08-04T09:05:44.000Z", "updated": "1994-08-04T09:05:44.000Z", "title": "Non-Standard Fermion Propagators from Conformal Field Theory", "authors": [ "Rainer Dick" ], "comment": "15 pages, Latex, LMU-TPW 94-10", "categories": [ "hep-th" ], "abstract": "It is shown that Weyl spinors in 4D Minkowski space are composed of primary fields of half-integer conformal weights. This yields representations of fermionic 2-point functions in terms of correlators of primary fields with a factorized transformation behavior under the Lorentz group. I employ this observation to determine the general structure of the corresponding Lorentz covariant correlators by methods similar to the methods employed in conformal field theory to determine 2- and 3-point functions of primary fields. In particular, the chiral symmetry breaking terms resemble fermionic 2-point functions of 2D CFT up to a function of the product of momenta. The construction also permits for the formulation of covariant meromorphy constraints on spinors in 3+1 dimensions.", "revisions": [ { "version": "v1", "updated": "1994-08-04T09:05:44.000Z" } ], "analyses": { "keywords": [ "conformal field theory", "non-standard fermion propagators", "primary fields", "breaking terms resemble fermionic", "symmetry breaking terms resemble" ], "tags": [ "journal article" ], "publication": { "doi": "10.1007/3-540-59163-X_261", "journal": "Strings and Symmetries", "year": 1995, "volume": 447, "pages": 99 }, "note": { "typesetting": "LaTeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "inspire": 375402, "adsabs": "1995LNP...447...99D" } } }