Recent Interests

Non-Abelian gauge theory, which is a cornerstone of the present day particle theory, has its foundation in fibre bundle theory in mathematics. The salient feature of the theory is that, unlike most other field theory models familiar with us, it admits topologically non-trivial configurations, such as magnetic monopoles or instantons.　Although it has been argued over the years that these topological solitons may be responsible for color (quark) confinement and/or chiral symmetry breaking, we have not yet succeeded to prove them based on non-perturbative arguments. In fact, we have not established a systematic method to study the physical consequences that the topologically non-trivial configurations can bring about. I have been interested in studying issues related to these topological aspects of gauge field theory.

Quantum theory, 'discovered' at the beginning of 20th century, has already established its unrivaled status along with Einstein's relativity theory in physics and possibly in all other physical sciences as well. The great impact that quantum mechanics has brought to us in the past century is expected to become more eminent in this century as the advance of nanotechnology and information science continues, and this prompts us to study the foundation of quantum theory further, both in the mathematical and physical bases in depth. Entanglement is a prominent property that underlies the basis of quantum information technology, which also is the conceptual key to understand the distinctive features of quantum mechanics such as non-locality and contextuality. I am also interested in working on subjects related to this, and my recent topics include quantum singularity, quantum game theory, and the possibility of Bell test using mesons in high-energy experiments.