The expansion in the symmetry-broken phase of an interacting Bose gas at finite temperature

2003/07/16 by Georgios Metikas, G. Metikas, O. Zobay +1
Physics and Astronomy · #Advanced Chemical Physics Studies #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #cond-mat

paper · pdf · doi:10.1088/0953-4075/36/22/017

11 pages, no figures

arxiv created 2003/07/16 · openalex publication_date 2003/11/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We discuss the application of the momentum-shell renormalization group method to the interacting homogeneous Bose gas in the symmetric and symmetry-broken phases. It is demonstrated that recently discussed discrepancies are artefacts due to not taking proper care of infrared divergencies appearing at finite temperature. If these divergencies are taken into account and treated properly by means of the ε expansion, the resulting renormalization group equations and the corresponding universal properties are identical in the symmetric and symmetry-broken phases.

Citations

• The renormalization group and the ε expansion
• Evidence of Bose-Einstein Condensation in an Atomic Gas with Attractive Interactions
• Renormalization-group analysis of the ground-state properties of dilute Bose systems indspatial dimensions
• Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor
• Integration by parts: The algorithm to calculate β-functions in 4 loops
• Critical exponents of theN-vector model
• Bose-Einstein Condensation in a Gas of Sodium Atoms
• Non-analytic vertex renormalization of a Bose gas at finite temperature