{ "id": "1504.03538", "version": "v1", "published": "2015-04-14T13:34:14.000Z", "updated": "2015-04-14T13:34:14.000Z", "title": "Special generalized densities and propagators: a geometric account", "authors": [ "Daniel Canarutto" ], "comment": "3+34 pages", "categories": [ "math-ph", "math.MP" ], "abstract": "Starting from a short review of spaces of generalized sections of vector bundles, we give a concise systematic description, in precise geometric terms, of Leray densities, principal value densities, propagators and elementary solutions of field equations in flat spacetime. We then sketch a partly original geometric presentation of free quantum fields and show how propagators arise from their graded commutators in the boson and fermion cases.", "revisions": [ { "version": "v1", "updated": "2015-04-14T13:34:14.000Z" } ], "analyses": { "subjects": [ "46F12", "35R99", "81T05" ], "keywords": [ "special generalized densities", "geometric account", "propagators", "free quantum fields", "partly original geometric presentation" ], "publication": { "doi": "10.1142/S0219887815300044" }, "note": { "typesetting": "TeX", "pages": 34, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1359501 } } }