Infrared behavior of interacting bosons at zero temperature

被引:3
|
作者
Dupuis, N. [1 ]
Rancon, A. [1 ]
机构
[1] Univ Paris 06, CNRS, UMR 7600, Lab Phys Theor Mat Condensee, F-75252 Paris 05, France
关键词
BOSE-EINSTEIN CONDENSATION; QUANTUM-FIELD THEORY; SUPERFLUID; SPECTRUM; SYSTEM; ENERGY; LIQUID;
D O I
10.1134/S1054660X11150059
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
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 nonperturbative 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.
引用
收藏
页码:1470 / 1479
页数:10
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