| Project/Area Number |
17K14265
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Tohoku University (2018-2020)
The University of Tokyo (2017) |
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Principal Investigator |
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| Project Period (FY) |
2017-04-01 – 2021-03-31
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| Project Status |
Completed (Fiscal Year 2020)
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| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2020: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2019: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2018: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2017: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Keywords | トポロジー / 量子アノマリー / アノマリー / 非摂動 / 電磁双対 / fundamental principles / SPT / anomaly / 素粒子論 |
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| Outline of Final Research Achievements |
Quantum field theory is an important framework of modern physics. However, its completely satisfactory formulation is not yet achieved. There are many phenomena which cannot be seen from the old analyses based on Lagrangians. I have succeeded in revealing many such phenomena. In particular, theories called "invertible field theories" are important for the understanding of phases of matter and consistency conditions of string theory. I have shown classification of them without using Lagrangians.
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| Academic Significance and Societal Importance of the Research Achievements |
場の量子論をラグランジアンに頼らずに解析することは、まず場の量子論という現代物理学の極めて重要な枠組みをよりよく理解することに重要である。これは基礎物理学の原理とは何かという根本的な問題と本質的に結びついている。さらに物質などの性質でラグランジアンからは容易に読み取ることができないものも、ラグランジアンに頼らない抽象的な議論によって明らかになってくる。私の研究によって、このような理解を推し進めることができた。
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