Study on lattice gauge models by numerical simulations and its application to critical phenomena

在本研究项目中，我们通过对格点规范模型的蒙特卡罗模拟，研究了各种类型的规范场理论。本项目中研究的大多数规范理论模型都受到基本粒子物理、宇宙学、凝聚态物理(包括玻色-爱因斯坦凝聚的无序系统、强关联电子系统、量子自旋系统和冷原子系统)的推动。我们发现了与上述物理系统相关的非常有趣的相结构和临界现象。

In the present research project, we have studied various types of gauge field theories by means of the Monte-Carlo simulations on lattice gauge models. Most of the gauge-theory models that were studied in the present project are motivated by elementary particle physics, cosmology, condensed matter physics including disordered systems of Bose-Einstein condensation, strongly-correlated electron systems, quantum spin systems and cold atom systems. We found very interesting phase structures and critical phenomena concerning to the above mentioned physical systems.