论文标题
相互作用的玻璃气和环气的路径综合分析
A path-integral analysis of interacting Bose gases and loop gases
论文作者
论文摘要
我们回顾了有关热平衡中相互作用的一些相互作用的结果。特别是，我们研究了此类气体的宏伟平衡状态与其平均场限制的融合，这是由吉布斯（Gibbs）具有四分之一的hartree型自我相互作用的吉布斯（Gibbs）的吉布斯度量，以及点颗粒的经典气体的吉布斯（Gibbs）。我们讨论了有关的各种开放问题和猜想，例如Bose-Einstein凝结，聚合物和$ \ vert \ boldsymbolϕ \ vert^{4} $ - 理论。
We review some recent results on interacting Bose gases in thermal equilibrium. In particular, we study the convergence of the grand-canonical equilibrium states of such gases to their mean-field limits, which are given by the Gibbs measures of classical field theories with quartic Hartree-type self-interaction, and to the Gibbs states of classical gases of point particles. We discuss various open problems and conjectures concerning, e.g., Bose-Einstein condensation, polymers and $\vert \boldsymbolϕ \vert^{4}$-theory.
