Studying Superfluid Transition of a Dilute Bose Gas by Conserving Approximations
arXiv:1210.1620 · doi:10.1143/JPSJ.81.114002
Abstract
We consider the Bose-Einstein transition of homogeneous weakly interacting spin-0 particles based on the normal-state Phi-derivable approximation. Self-consistent calculations of Green's function and the chemical potential with several approximate Phi's are performed numerically as a function of temperature near Tc, which exhibit qualitatively different results. The ladder approximation apparently shows a continuous transition with the prefactor c=2.94 for the transition-temperature shift given in terms of the scattering length a and density n. In contrast, the second-order, particle-hole, and fluctuation-exchange approximations yield a first-order transition. The fact that some standard Phi's predict a first-order transition challenges us to clarify whether or not the transition is really continuous.
arXiv comment6 pages, 3 figures
References in corpus (19)
- Theory of the Weakly Interacting Bose Gas
- The transition temperature of the dilute interacting Bose gas
- Transition temperature of a dilute homogeneous imperfect Bose gas
- Critical Temperature of Bose-Einstein Condensation of Hard Sphere Gases
- The transition temperature of the dilute interacting Bose gas for internal degrees of freedom
- Transition Temperature of the homogeneous, weakly interacting Bose gas
- Bose-Einstein transition in a dilute interacting gas
- Introduction to Nonequilibrium Statistical Mechanics with Quantum Field
- Non perturbative renormalisation group and momentum dependence of -point functions (I)
- T_c for dilute Bose gases: beyond leading order in 1/N
- Critical temperature of interacting Bose gases in two and three dimensions
- Bose-Einstein Condensation Temperature of a Homogeneous Weakly Interacting Bose Gas : PIMC study
- Higher Order Evaluation of the Critical Temperature for Interacting Homogeneous Dilute Bose Gases
- Five-Loop Critical Temperature Shift in Weakly Interacting Homogeneous Bose-Einstein Condensate
- Self-energy and critical temperature of weakly interacting bosons
- Bose-Einstein condensation of interacting gases
- Bose-Einstein Condensation Temperature of Homogenous Weakly Interacting Bose Gas in Variational Perturbation Theory Through Six Loops
- Self-consistent perturbation expansion for Bose-Einstein condensates satisfying Goldstone's theorem and conservation laws
- Self-Consistent Approximations for Superconductivity beyond the Bardeen-Cooper-Schrieffer Theory