| 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 |
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| 応募区分 | 一般 |
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| 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 |
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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), 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 (2023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 | quantum effects / symmetry breaking / vacuum decay / quantum entropy / Schrodinger fields / strong coupling / effective action / zeta function / 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 |
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| 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 three landmark achievements for this fiscal year are: the study of quantum vacuum effects in non-relativistic quantum field theory, an application to cold atomic systems, and a new regularization approach based on theta functions and modular transformations; the study of quantum effects and symmetry breaking in accelerated frames and the re-assessment of how acceleration affects vacuum decay, where we have clarified what happens to the Unruh effect in the presence of interactions; a new connection between quantum vacuum, quantum information and quantum entropy, an exciting new development that we hope to use to gain a deeper insight into vacuum decay and that has suggested new directions of research to pursue, particularly regarding the Schwinger effect.
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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 research is progressing smoothly and we do not foresee problems in the final part of the project. Concerning the part on interacting Bose systems we have developed a technique that we are currently generalizing to multi-field models and that will allow us to study the formation of droplets in curved space, that is the main target of the project that we are confident to be able to complete it before the end of the year. We are also pursuing a generalization to integrable systems which will allow us to make arrive at more general conclusions about vacuum decay in the presence of interactions. A third approach we are pursuing relating vacuum phenomena to quantum entropy is also proceeding steadily: we have developed a general formalism and we are now in the phase of studying some applications.
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| 今後の研究の推進方策 |
The directions we intend to pursue within this year and as a continuation of this project are as follows: generalization of the results to multi-field theories curved space and the application to the nucleation of ultra-dilute quantum liquid droplets. Pursuing further the relation between quantum fields and quantum information and apply the connection we have found between Von Neumann entropy and vacuum energy to the Schwinger pair production and to the Casimir effect. The computation of the quantum vacuum energy for non-relativistic integrable models that will allow a more general inclusion of interactions and to a better understanding of vacuum phenomena in quantum field theory.
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