The transition temperature of the dilute interacting Bose gas
Statistical Mechanics
2008-11-26 v3
Abstract
We show that the critical temperature of a uniform dilute Bose gas must increase linearly with the s-wave scattering length describing the repulsion between the particles. Because of infrared divergences, the magnitude of the shift cannot be obtained from perturbation theory, even in the weak coupling regime; rather, it is proportional to the size of the critical region in momentum space. By means of a self-consistent calculation of the quasiparticle spectrum at low momenta at the transition, we find an estimate of the effect in reasonable agreement with numerical simulations.
Cite
@article{arxiv.cond-mat/9905430,
title = {The transition temperature of the dilute interacting Bose gas},
author = {Gordon Baym and Jean-Paul Blaizot and Markus Holzmann and Franck Laloë and Dominique Vautherin},
journal= {arXiv preprint arXiv:cond-mat/9905430},
year = {2008}
}
Comments
4 pages, Revtex, to be published in Physical Review Letters