2+1 dimensional quantum gravity with spinor field in connection and nonlocal representations スピノル場を含む(2+1)次元量子重力理論の接続及び非局所表現
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Bibliographic Information
- Title
-
2+1 dimensional quantum gravity with spinor field in connection and nonlocal representations
- Other Title
-
スピノル場を含む(2+1)次元量子重力理論の接続及び非局所表現
- Author
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吉田, 勝彦
- Author(Another name)
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ヨシダ, カツヒコ
- University
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東京都立大学
- Types of degree
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博士 (理学)
- Grant ID
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乙第817号
- Degree year
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1993-03-18
Note and Description
博士論文
Table of Contents
- 学位論文 / (0002.jp2)
- CONTENTS / (0006.jp2)
- 0.Introduction / p1 (0008.jp2)
- 1.Canonical Formalism of Gravity:ADM Formalism / p4 (0011.jp2)
- 2.Connection Representation:Ashtekar's formalism / p9 (0016.jp2)
- 2.1.New phase space variables / p9 (0016.jp2)
- 2.2.Classical constraints / p12 (0019.jp2)
- 2.3.Solution to constraints / p14 (0021.jp2)
- 3.Loop Representation of General Relativity / p18 (0025.jp2)
- 3.1.Loop representation of 3+1 dimensional gravity / p18 (0025.jp2)
- 3.2.loop representation of 2+1 dimensional gravity / p29 (0036.jp2)
- 4.Connection Representation of Spinor Coupled Gravity / p35 (0042.jp2)
- 4.1.Hamiltonian formalism / p35 (0042.jp2)
- 4.2.Constraint Algebra / p37 (0044.jp2)
- 4.3.Observables / p39 (0046.jp2)
- 4.4.Solution to constraints / p40 (0047.jp2)
- 5.Nonlocal Representation of Spinor Coupled Gravity / p42 (0049.jp2)
- 5.1.Nonlocal variables / p42 (0049.jp2)
- 5.2.Nonlocal correspondent of constraints / p50 (0057.jp2)
- 5.3.Definition of nonlocal representation / p53 (0060.jp2)
- 5.4.Physical state solution / p62 (0069.jp2)
- 6.Conclusion and Discussion / p70 (0077.jp2)
- References / p73 (0080.jp2)
- Appendix A Sen's connection / p74 (0081.jp2)
- Appendix B Graphical notations / p76 (0083.jp2)
- Appendix C Commutators of high weight operators / p86 (0093.jp2)
- Massive Charged Scalar Particle in the Three-Dimensional Einstein-Maxwell Theory / p172 (0100.jp2)
- A New Vector-Tensor Theory and Higher-Dimensional Cosmology / p1 (0105.jp2)
- Euclidean wormhole solutions of Einstein-Yang-Mills theory in diverse dimensions / p1973 (0110.jp2)
- (2+1)-dimensional quantum gravity with spinor field / (0116.jp2)