研究課題/領域番号 |
21K03540
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研究種目 |
基盤研究(C)
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配分区分 | 基金 |
応募区分 | 一般 |
審査区分 |
小区分15010:素粒子、原子核、宇宙線および宇宙物理に関連する理論
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研究機関 | 慶應義塾大学 |
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) |
2021-04-01 – 2025-03-31
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研究課題ステータス |
交付 (2022年度)
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配分額 *注記 |
3,380千円 (直接経費: 2,600千円、間接経費: 780千円)
2024年度: 780千円 (直接経費: 600千円、間接経費: 180千円)
2023年度: 780千円 (直接経費: 600千円、間接経費: 180千円)
2022年度: 780千円 (直接経費: 600千円、間接経費: 180千円)
2021年度: 1,040千円 (直接経費: 800千円、間接経費: 240千円)
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キーワード | Phase transition / Quantum vacuum / Curved space / Quantum field theory / Zeta function / Effective action / Cold atoms / Spectral geometry / phase nucleation / quantum fields / phase transitions / curved surfaces / bubble nucleation / curved space / symmetry breaking |
研究開始時の研究の概要 |
Abrupt changes in the structure of matter occur commonly in Nature and are controlled by the yet unclear mechanism of vacuum decay. Our proposal is concerned with examining how this class of phenomena is altered by the geometrical and topological features of space. Our ultimate goal is to investigate the process of seed nucleation and growth in general, as well as look at some special cases with interesting perspective phenomenology.
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研究実績の概要 |
The work carried so far has been focusing on developing a technique to compute quantum vacuum effects in stationary backgrounds and in theories with interactions, as these allow to consider phase transitions and bubble nucleation.
We have developed such a method for a nonlinear quantum field theory for which we could exactly integrate the equation of motion and in turn quantize the theory at full nonlinear level, without resorting to a perturbative approach. Furthermore we have developed an original and very powerful numerical implementation of zeta-function regularization, based on the Weyl spectral theorem. We have tested this approach to compute the vacuum energy in a variety of cases (work published in Physical Review D) and we have just extended the approach to a non-relativistic Schrodinger quantum field theory (a paper is being written up and should be submitted before the summer).
The problem we are currently engaged in has to do with the formation of bubbles, as outlined in the research proposal, in the context of a Bose binary mixture on a spherical surface. This part of the work is in progress: we have developed the necessary formalism to address this problem and we are in the process of developing its numerical implementation. We hope to finish a paper about this also before next summer.
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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 proceeding rather smoothly and my current research that focuses on obtaining bubble solutions in a binary Bose mixture is proven to be very exciting, due to recent experiments in cold atoms. In fact, this is an unexpected positive turn in my research as it can reveal a new path to describe new yet-to-observe physical phenomena and connect certain aspects of quantum field theory in curved space with the physics of ultra-cold atoms as well as indicate new experimental opportunities.
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今後の研究の推進方策 |
Over the next 6 months I am planning to complete the work on the bubble formation in binary mixtures, as well as another work on quantum vacuum effects in curved space with defects. I am planning to promote the work at the next JPS meeting and in a research trip next September.
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