The epsilon-expansion in the symmetry-broken phase of an interacting Bose gas at finite temperature
arXiv:cond-mat/0307387 · doi:10.1088/0953-4075/36/22/017
Abstract
We discuss the application of the momentum-shell renormalization group method to the interacting homogeneous Bose gas in the symmetric and in the symmetry-broken phases. It is demonstrated that recently discussed discrepancies are artifacts of 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 epsilon-expansion, the resulting renormalization group equations and the corresponding universal properties are identical in the symmetric and the symmetry-broken phases.
arXiv comment11 pages, no figures
References in corpus (11)
- The Exact Renormalisation Group and Approximate Solutions
- Critical Exponents of the N-vector model
- Derivative Expansion of the Exact Renormalization Group
- Critical exponents for 3D O(n)-symmetric model with n > 3
- Renormalization Group Theory of the Three-Dimensional Dilute Bose Gas
- Five-loop renormalization group functions of -symmetric -theory and $\ep$-expansions of critical exponents up to $\ep^5$
- Application of Renormalization Group Techniques to a Homogeneous Bose Gas at Finite Temperature
- Properties of derivative expansion approximations to the renormalization group
- Thermodynamic properties of confined interacting Bose gases - a renormalization group approach
- Non-Analytic Vertex Renormalization of a Bose Gas at Finite Temperature
- Renormalization Group Analysis of a Confined, Interacting Bose Gas