The Transition Temperature of the Dilute Interacting Bose Gas
Gordon BaymLKB and LPS, Ecole Normale Supérieure, 24 rue Lhomond, 75005 Paris, FranceJean-Paul BlaizotService de Physique Théorique, CE-Saclay, Orme des Merisiers, 91191 Gif-sur-Yvette, FranceMarkus HolzmannLKB and LPS, Ecole Normale Supérieure, 24 rue Lhomond, 75005 Paris, FranceFranck LaloëLKB and LPS, Ecole Normale Supérieure, 24 rue Lhomond, 75005 Paris, FranceD. VautherinLPNHE, Case 200, Universités Paris 6/7, 4 Place Jussieu, 75005 Paris, France
1999en
ABI
Annotatsiya
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.
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