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

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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.