| 研究課題/領域番号 |
18K03626
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| 研究機関 | 慶應義塾大学 |
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研究代表者 |
フラキ アントニノ 慶應義塾大学, 商学部(日吉), 准教授 (20444474)
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| 研究期間 (年度) |
2018-04-01 – 2021-03-31
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| キーワード | quantum field theory / curved space / black holes / topology |
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| 研究実績の概要 |
Main topics and results investigated are as follows. The characterization of the quantum vacuum structure in a curved and topologically non-trivial hexagonal lattice with defects. This study led to understand that the order parameter associated with the staggered magnetization may increase near the defect suggesting a way to induce specific patterns of symmetry breaking in graphene. This work has been published in the Physical Review Letters and one more paper has been submitted to the Physical Review. We have also looked at the phenomena of symmetry restoration in the vicinity of charged black holes and analyzed the problem using semi-analytical techniques. We have showed that symmetry gets restored near the horizon, and for this we have refined and adapted a new technique to compute vacuum polarization effects in black hole spacetimes. These results have been published in the Journal of High Energy Physics.
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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 progress of the research is advancing approximately as expected. There has been no major impediment to developing the projects envisaged in the proposal. Since the submission of the proposal new questions regarding the vacuum instabilities in (1+1)-dimensional quantum field theories relevant to our proposal have been raised, motivating us to reformulate some of the ideas of the project to clarify those recent issues. All the obtained results have been presented at various international conferences.
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| 今後の研究の推進方策 |
We have already completed a number of projects and we are currently continuing the work in various directions: quantum vacuum instabilities in one-dimensional models, Casimir effect in stationary systems, and on further questions related to quantum vacuum instabilities in quantum field theory. Work on the vacuum instabilities in (1+1)-dimensional quantum field theories is currently at the latest stages of preparation; while the work on the Casimir effect and other aspects of quantum vacuum effects are at the initial stages of preparation and we plan to develop them further during the current academic year.
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| 次年度使用額が生じた理由 |
Participation in international conference and collaboration visit.
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