| Project/Area Number |
21K03540
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Review Section |
Basic Section 15010:Theoretical studies related to particle-, nuclear-, cosmic ray and astro-physics
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| Research Institution | Keio University |
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Principal Investigator |
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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| Project Period (FY) |
2021-04-01 – 2025-03-31
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| Project Status |
Granted (Fiscal Year 2023)
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| Budget Amount *help |
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2024: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2023: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2022: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2021: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | 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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| Outline of Research at the Start |
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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| Outline of Annual Research Achievements |
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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| Current Status of Research Progress |
Current Status of Research Progress
2: Research has progressed on the whole more than it was originally planned.
Reason
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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| Strategy for Future Research Activity |
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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