超流性的统一图景：从Bogoliubov近似到Popov流体力学理论
Unified picture of superfluidity: From Bogoliubov's approximation to Popov's hydrodynamic theory
摘要：
利用非微扰重整化群方法，计算了零温下二维相互作用玻色子的反常自能和单粒子谱函数对动量和频率的依赖关系.在特征动量尺度$k_G$以下，Bogoliubov近似被打破，反常的自能发展出一个平方根奇点，超流相的Goldstone模式（Bogoliubov声音模式）与连续的激发共存，与波波夫流体动力学理论的预测一致。因此，我们的结果提供了一个统一的图片超流相互作用玻色子系统和连接Bogoliubov的理论（有效的动量大于$k_G$）波波夫的流体动力学方法。
英文摘要：
Using a non-perturbative renormalization-group technique, we compute the momentum and frequency dependence of the anomalous self-energy and the one-particle spectral function of two-dimensional interacting bosons at zero temperature. Below a characteristic momentum scale $k_G$, where the Bogoliubov approximation breaks down, the anomalous self-energy develops a square root singularity and the Goldstone mode of the superfluid phase (Bogoliubov sound mode) coexists with a continuum of excitations, in agreement with the predictions of Popov's hydrodynamic theory. Thus our results provide a unified picture of superfluidity in interacting boson systems and connect Bogoliubov's theory (valid for momenta larger than $k_G$) to Popov's hydrodynamic approach.
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