{ "id": "1102.1581", "version": "v2", "published": "2011-02-08T12:01:33.000Z", "updated": "2012-10-15T07:28:46.000Z", "title": "Ito and Stratonovich calculuses in stochastic field theory", "authors": [ "Juha Honkonen" ], "comment": "Invited talk presented at The 12th Small Triangle Meeting on Theoretical Physics, September 19- 22, 2010, Stak\\v{c}\\'{\\i}n, Slovakia; Institute of Experimental Physics, Ko\\v{s}ice, 2011, 21-30", "categories": [ "cond-mat.stat-mech", "math-ph", "math.MP" ], "abstract": "Ambiguities in the functional-integral solution of the stochastic differential equation (SDE) arising due to the definition on the functional Jacobi determinant and the white-in-time limit in the noise are analyzed and two forms of the de Dominicis-Janssen dynamic action proposed corresponding to the Ito and Stratonovich interpretations of the SDE.", "revisions": [ { "version": "v2", "updated": "2012-10-15T07:28:46.000Z" } ], "analyses": { "keywords": [ "stochastic field theory", "stratonovich calculuses", "functional jacobi determinant", "stochastic differential equation", "dominicis-janssen dynamic action" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1102.1581H" } } }