Infrared behavior of interacting bosons at zero temperature
arXiv:1106.4922 · doi:10.1134/S1054660X11150059
Abstract
We review the infrared behavior of interacting bosons at zero temperature. After a brief discussion of the Bogoliubov approximation and the breakdown of perturbation theory due to infrared divergences, we present two approaches that are free of infrared divergences -- Popov's hydrodynamic theory and the non-perturbative renormalization group -- and allow us to obtain the exact infrared behavior of the correlation functions. We also point out the connection between the infrared behavior in the superfluid phase and the critical behavior at the superfluid--Mott-insulator transition in the Bose-Hubbard model.
8 pages, 4 figures. Proceedings of the 19th International Laser Physics Workshop, LPHYS'10 (Foz do Iguacu, Brazil, July 5-9, 2010)
References in corpus (8)
- Exact evolution equation for the effective potential
- From local to critical fluctuations in lattice models: a non-perturbative renormalization-group approach
- Non-perturbative renormalization-group approach to the Bose-Hubbard model
- Functional renormalization for Bose-Einstein Condensation
- Functional renormalization for quantum phase transitions with non-relativistic bosons
- Infrared behavior and spectral function of a Bose superfluid at zero temperature
- Infrared behavior in systems with a broken continuous symmetry: classical O(N) model vs interacting bosons
- Unified picture of superfluidity: From Bogoliubov's approximation to Popov's hydrodynamic theory
Cited by in corpus (3)
- Green's function formalism for a condensed Bose gas consistent with infrared-divergent longitudinal susceptibility and Nepomnyashchii-Nepomnyashchii identity
- Strong connection between single-particle and density excitations in Bose-Einstein condensates
- Hidden multiparticle excitation in weakly interacting Bose-Einstein Condensate