{ "id": "0912.3686", "version": "v2", "published": "2009-12-18T14:32:42.000Z", "updated": "2010-05-03T08:19:42.000Z", "title": "Volume behaviour of quark condensate, pion mass and decay constant from Dyson-Schwinger equations", "authors": [ "Jan Luecker", "Christian S. Fischer", "Richard Williams" ], "comment": "10 pages, 9 figures, v2: minor clarifications, version accepted by PRD", "journal": "Phys.Rev.D81:094005,2010", "doi": "10.1103/PhysRevD.81.094005", "categories": [ "hep-ph", "hep-lat" ], "abstract": "We solve the coupled system of Dyson-Schwinger and Bethe-Salpeter equations for the quark propagator and the pion Bethe-Salpeter amplitude on a finite volume. To this end we use a truncation scheme that includes pion cloud effects in the quark propagator and light mesons. We study volume effects in the quark condensate, the pion mass and the pion decay constant and compare to corresponding results in other approaches. In general we find large effects for volumes below V=(1.8 fm)^4.", "revisions": [ { "version": "v2", "updated": "2010-05-03T08:19:42.000Z" } ], "analyses": { "subjects": [ "12.38.Gc", "12.38.Aw", "14.65.Bt", "12.38.Lg" ], "keywords": [ "quark condensate", "pion mass", "volume behaviour", "dyson-schwinger equations", "quark propagator" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review D", "year": 2010, "month": "May", "volume": 81, "number": 9, "pages": "094005" }, "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "inspire": 840623, "adsabs": "2010PhRvD..81i4005L" } } }