Holzmann M, Baym G, Blaizot J P, Laloë F
University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, IL 61801, USA.
Phys Rev Lett. 2001 Sep 17;87(12):120403. doi: 10.1103/PhysRevLett.87.120403. Epub 2001 Aug 28.
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.
我们表明，稀薄均匀玻色气体转变温度的变化在散射振幅(a)中是非解析的。(a)中超出正线性变化的一阶修正为负，量级为(a^2\ln a)。这种非普适的非解析结构表明了有限(a)时数值计算与(a\to0)极限计算之间的差异是如何协调的，因为线性仅在异常小的(a)时才明显。
