2001/01/25 by M. Crişan, M. Crisan, D. Bodea +3 · 17 citations
Mathematics · Physics and Astronomy · #Bose gas #Bose–Einstein condensate #Coherence (philosophical gambling strategy) #Cold Atom Physics and Bose-Einstein Condensates #Combinatorics #Condensed matter physics #Coupling (piping) #Coupling constant #Critical dimension #Dimension (graph theory) #Flow (mathematics) #Functional renormalization group #Limit (mathematics) #Materials science #Mathematical analysis #Mathematical physics #Mathematics #Mechanics #Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Renormalization #Renormalization group #Scaling #Strong Light-Matter Interactions #cond-mat
paper · pdf · doi:10.1088/0305-4470/35/2/305
published in Journal of Physics A Mathematical and General 35(2), 239-252 (Institute of Physics) · 18 pages
arxiv created 2001/01/25 · openalex publication_date 2002/01/07 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We study the d -dimensional Bose gas at finite temperature using the renormalization-group method. The flow-equations and the free energy are 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 are obtained using a regular solution for the coupling constant which is obtained from the scaling equations. The relevance of the dilute Bose gas for recent experimental results is also discussed.