零温玻色系统的非微扰重整化群方法
Non-perturbative renormalization-group approach to zero-temperature Bose systems
摘要：
本文利用非微扰重整化群方法研究了零温下相互作用玻色子。我们的方法揭示了Bogoliubov不动点的不稳定性时，$d\leq 3$，并在一个相当简单的理论框架内产生精确的红外行为在所有维度$d>1$。它还能够计算的微观模型的参数方面的低能量属性。在一维和不太强的相互作用强相互作用，它产生了一个很好的图片的Luttinger液体行为的超流相。
英文摘要：
We use a non-perturbative renormalization-group technique to study interacting bosons at zero temperature. Our approach reveals the instability of the Bogoliubov fixed point when $d\leq 3$ and yields the exact infrared behavior in all dimensions $d>1$ within a rather simple theoretical framework. It also enables to compute the low-energy properties in terms of the parameters of a microscopic model. In one-dimension and for not too strong interactions, it yields a good picture of the Luttinger-liquid behavior of the superfluid phase.
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