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Physical Review Letters 83 (1999) 1703-1706
The transition temperature of the dilute interacting Bose gas
Gordon Baym1, 2, 3, Jean-Paul Blaizot2, Markus Holzmann1, 4, Dominique Vautherin5, Franck Laloë1

We show that the critical temperature of a uniform dilute Bose gas increases 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.
1 :  LKB (Lhomond) - Laboratoire Kastler Brossel
2 :  SPhT - Service de Physique Théorique
3 :  UIUC - Physics Department
4 :  LPS - Laboratoire de Physique Statistique de l'ENS
5 :  LPNHE - Laboratoire de Physique Nucléaire et de Hautes Énergies
Physique/Matière Condensée/Mécanique statistique
critical temperature – Bose Einstein – dilute quantum gas
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