Renormalization - group analysis of dilute Bose system in d - dimension at finite temperature

Abstract

We study the d - dimensional Bose gas at finite temperature using the renormalization group method. The flow - equations and the free energy have been obtained for dimension d, and the cases d<2 and d=2 have been analysed in the limit of low and high temperatures. The critical temperature, the coherence length and the specific heat of a two dimensional Bose gas have been obtained using a solution for the coupling constant which does not present a singular behavior.

18 pages

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• Low-Temperature Quantum Critical Behaviour of Systems with Transverse Ising-like Intrinsic Dynamics
• Quantum criticality of the imperfect Bose gas in d dimensions
• Field-induced Bose-Einstein condensation of interacting dilute magnons in three-dimensional spin systems: A renormalization-group study
• Excitonic condensation in quasi-two-dimensional systems
• Bogoliubov phonons in a Bose-Einstein condensate from the one-loop perturbative renormalization group