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The Transition Temperature of the Dilute Interacting Bose Gas

The Transition Temperature of the Dilute Interacting Bose Gas

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 …