| Project/Area Number |
16K05333
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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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| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Kushiro National College of Technology |
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Principal Investigator |
UMETSU HIROSHI 釧路工業高等専門学校, 創造工学科, 教授 (90393420)
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| Research Collaborator |
SAKO Akifumi
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| Project Period (FY) |
2016-04-01 – 2019-03-31
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| Project Status |
Completed (Fiscal Year 2018)
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| Budget Amount *help |
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
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)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | ブラックホール / 量子重力 / 非可換空間 / 重力の量子化 / 3次元重力 / ゲージ理論 / 変形量子化 / ホーキング輻射 / 量子異常 / 高階スピンカレント / 素粒子論 |
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| Outline of Final Research Achievements |
The degrees of freedom of deformations near the event horizons of black holes were studied. We aimed to derive the thermodynamic properties of black holes and to obtain information of quantum properties of gravity by investigating effects of the degrees of freedom of deformations on Hawking radiations. It is expected that quantum space-times have a sort of discreteness and noncommutativity. In this study, we made noncommutative Kahler manifolds by using deformation quantization and derived local Fock representations on the manifolds and transition function between the Fock representations. Further, we investigated gauge theories on noncommutative Kahler manifolds by applying Fock representations.
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| Academic Significance and Societal Importance of the Research Achievements |
ミクロなスケールにおいて重力は量子論的な性質を持つと思われている．ブラックホールにはその性質が顕著に現れると期待される．本研究では，ブラックホールの持つ自由度を明らかにすることを目指した．また，ミクロなスケールで現れる空間の離散的性質を反映した場の理論について調べた．
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