title: Nonanalytic dependence of the transition temperature of the homogeneous dilute Bose gas on scattering length.
abstract: We show that the shift in the transition temperature of the dilute homogeneous Bose gas is nonanalytic in the scattering amplitude a. The first correction beyond the positive linear shift in a is negative and of order a(2)lna. This nonuniversal nonanalytic structure indicates how the discrepancies between numerical calculations at finite a can be reconciled with calculations of the limit a-->0, since the linearity is apparent only for anomalously small a.
authors.affiliation: University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, IL 61801, USA.
authors.forename: M
authors.initials: M
authors.lastname: Holzmann
authors.forename: G
authors.initials: G
authors.lastname: Baym
authors.forename: J P
authors.initials: JP
authors.lastname: Blaizot
authors.forename: F
authors.initials: F
authors.lastname: Laloë