| 研究実績の概要 |
During the past academic year, we have proceeded along the lines of the proposal. There has not been any major impediment and research has been progressing as expected. We continued our research along the lines of the previous year and extended our previous results in various directions. First of all, we have carried out the generalization of our previous work on interacting quantum field theories in topologically non-trivial manifolds and applications to graphene to include thermodynamic (finite temperature) effects. We have also considered extensions relevant to cosmological strings. These works have been published in the Physical Review and Journal of Physics. Secondly, we have carried out the computation of the effective action for a class on nonlinear sigma model (CP(N) Models) including finite size and thermodynamic effects as well as inhomogeneous ground states (Published in Phys.Rev. D). Thirdly, we have studied a class of nonlinear sigma models at finite density showing that inhomogeneous may form above a critical density (currently submitted for publication to Journal of High Energy Physics). On the organizational side, I have co-organized three international meetings and delivered several presentations, including two at the Japanese physical society meeting (Yamagata 2019, Nagoya 2020), at a international workshop (Keio University Jan. 2020) and delivered the introductory address at the international meeting "Avenues of quantum field theory in curved space).
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| 現在までの達成度 (区分) |
現在までの達成度 (区分)
2: おおむね順調に進展している
理由
The project is progressing as anticipated. We are currently completing work in several directions including: the study of quantum effects in interacting stationary geometries (in relation to problems regarding the quantum vacuum and Casimir effects), the study of finite density effects in constrained nonlinear sigma-models, and developing a model of topological charge pumping in quantum field theory.
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| 今後の研究の推進方策 |
During the 2020-2021 academic year, we shall continue along the lines discussed in the proposal (see the "Current Status" above). The main focus will be about quantum field theory in rotating systems, quantum vacuum effects in interacting quantum field theories and symmetry breaking at finite density and quantum field theory in topologically non-trivial manifolds.
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