{ "id": "cond-mat/0103595", "version": "v3", "published": "2001-03-29T00:19:57.000Z", "updated": "2001-07-19T20:16:40.000Z", "title": "Non-analytic dependence of the transition temperature of the homogeneous dilute Bose gas on scattering length", "authors": [ "Markus Holzmann", "Gordon Baym", "Jean-Paul Blaizot", "Franck Laloe" ], "comment": "4 pages, 1 figure, to appear in Phys. Rev. Lett", "journal": "Phys. Rev. Lett. 87, 120403 (2001)", "doi": "10.1103/PhysRevLett.87.120403", "categories": [ "cond-mat.stat-mech" ], "abstract": "We show that the shift in the transition temperature of the dilute homogeneous Bose gas is non-analytic in the scattering amplitude, $a$. The first correction beyond the positive linear shift in $a$ is negative and of order $a^2\\ln a$. This non-universal non-analytic structure indicates how the discrepancies between numerical calculations at finite $a$ can be reconciled with calculations of the limit $a \\to0$, since the linearity is apparent only for anomalously small $a$.", "revisions": [ { "version": "v3", "updated": "2001-07-19T20:16:40.000Z" } ], "analyses": { "keywords": [ "homogeneous dilute bose gas", "transition temperature", "non-analytic dependence", "scattering length", "non-universal non-analytic structure" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }