Critical Temperature of Dilute Bose Gases

Abstract

We compute the critical temperature of Bose-Einstein condensation in dilute three-dimensional homogeneous Bose gases. Our method involves the models of spatial permutations and it should be exact to lowest order in the scattering length of the particle interactions. We find that the change in the critical temperature is proportional to a rho^{1/3} with constant c = -2.33; this contradicts the current consensus among physicists.

9 pages

References in corpus (5)

• Bose-Einstein Condensation Temperature of Homogenous Weakly Interacting Bose Gas in Variational Perturbation Theory Through Seven Loops
• Spatial random permutations and infinite cycles
• Rigorous Upper Bound on the Critical Temperature of Dilute Bose Gases
• Feynman cycles in the Bose gas
• The relation between Feynman cycles and off-diagonal long-range order

Cited by in corpus (8)

• Random permutations with cycle weights
• Spatial random permutations and Poisson-Dirichlet law of cycle lengths
• Asymptotic statistics of cycles in surrogate-spatial permutations
• Random partitions in statistical mechanics
• Scaling limits of bosonic ground states, from many-body to nonlinear Schr{ö}dinger
• Non-conventional Dynamical Bose Condensation
• Thermodynamical properties of a trapped interacting Bose gas
• Limites de champ moyen bosoniques {à} temp{é}rature positive