Infrared behavior of interacting bosons at zero temperature

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 show how the non-perturbative renormalization group enables to obtain the exact infrared behavior of the correlation functions.

8 pages, 2 figures. Proceedings of the International Conference on frustrated spin systems, cold atoms and nanomaterials (Hanoi, Vietnam, July 14-16, 2010)

References in corpus (13)

• Theory of Bose-Einstein condensation in trapped gases
• Exact evolution equation for the effective potential
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• The Dilute Bose-Einstein Condensate with Large Scattering Length
• Renormalization Group Approach to the Infrared Behavior of a Zero-Temperature Bose System
• Infrared Behavior of Interacting Bosons at Zero Temperature
• Functional renormalization for quantum phase transitions with non-relativistic bosons
• Spectral function and quasi-particle damping of interacting bosons in two dimensions
• 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
• Non-perturbative renormalization-group approach to zero-temperature Bose systems
• Functional renormalization group approach to interacting bosons at zero temperature