Fermionic Functional Renormalization Group Approach to Bose-Einstein Condensation of Dimers
arXiv:1311.4157 · doi:10.1093/ptep/ptu009
Abstract
Fermionic functional renormalization group (f-FRG) is applied to describe Bose-Einstein condensation (BEC) of dimers for a two-component fermionic system with attractive contact interaction. In order to describe the system of dimers without introducing auxiliary bosonic fields (bosonization), we propose a new exact evolution-equation of the effective action in f-FRG with an infrared regulator for the fermion vertex. Then we analyze its basic properties in details. We show explicitly that the critical temperature of the free Bose gas is obtained naturally by this method without bosonization. Methods to make systematic improvement from the deep BEC limit are briefly discussed.
12 pages, 4 figures; Minor changes in wording and some comments added, references added
References in corpus (12)
- Exact evolution equation for the effective potential
- Observation of Bose-Einstein Condensation of Molecules
- Thermodynamics of the BCS-BEC crossover
- Critical Temperature and Thermodynamics of Attractive Fermions at Unitarity
- Critical Temperature Curve in the BEC-BCS Crossover
- Thermodynamics of balanced and slightly spin-imbalanced Fermi gases at unitarity
- Particle-hole fluctuations in the BCS-BEC Crossover
- Pairing and Superfluid Properties of Dilute Fermion Gases at Unitarity
- Superconductivity in the attractive Hubbard model: functional renormalization group analysis
- Unitary Fermi gas at finite temperature in the epsilon expansion
- Renormalization of the BCS-BEC crossover by order parameter fluctuations
- Flow equation of functional renormalization group for three-body scattering problems