Gravitational anomaly in lattice gravity 格子重力理論における量子重力異常
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著者
書誌事項
- タイトル
-
Gravitational anomaly in lattice gravity
- タイトル別名
-
格子重力理論における量子重力異常
- 著者名
-
下野, 昌人
- 著者別名
-
シモノ, マサト
- 学位授与大学
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東京大学
- 取得学位
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理学博士
- 学位授与番号
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甲第8789号
- 学位授与年月日
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1990-10-22
注記・抄録
博士論文
目次
- Contents / p1 (0003.jp2)
- 1 Introduction / p3 (0004.jp2)
- 2 Regge calculus / p5 (0005.jp2)
- 2.1 MATHEMATICAL PRELIMINARIES / p5 (0005.jp2)
- 2.2 THE REGGE CALCULUS / p7 (0006.jp2)
- 2.3 SYMMETRIES OF REGGE'S ACTION / p12 (0009.jp2)
- 2.4 CONFORMAL TRANSFORMATION / p13 (0009.jp2)
- 2.5 WEAK FIELD LIMIT / p15 (0010.jp2)
- 3 Kähler-Dirac equation / p21 (0013.jp2)
- 3.1 BASIC MATHEMATICAL TOOLS / p21 (0013.jp2)
- 3.2 THE KAHLER-DIRAC EQUATION / p24 (0015.jp2)
- 3.3 APPLICATIONS / p25 (0015.jp2)
- 3.4 SYMMETRIES AND PHYSICAL INTERPRETATIONS / p27 (0016.jp2)
- 3.5 POSSIBLE MODIFICATIONS OF THE K-D EQUATION / p31 (0018.jp2)
- 4 The K-D equation on simplicial lattices / p35 (0020.jp2)
- 4.1 SIMPLICIAL CALCULUS / p35 (0020.jp2)
- 4.2 THE K-D EQUATION ON A SIMPLICIAL COMPLEX / p39 (0022.jp2)
- 4.3 OTHER FIELDS ON A SIMPLICIAL LATTICE / p41 (0023.jp2)
- 5 K-D fermions with two-dimensional lattice gravity / p44 (0025.jp2)
- 5.1 THE ACTION / p44 (0025.jp2)
- 5.2 FIELD EQUATIONS / p49 (0027.jp2)
- 5.3 SYMMETRIES AND CHIRAL K-D FERMIONS / p52 (0029.jp2)
- 5.4 FIELDS WITH OTHER SPINS ON A TWO DIMENSIONAL LATTICE / p57 (0031.jp2)
- 6 Anomalies in the lattice theory / p64 (0035.jp2)
- 6.1 CHIRAL ANOMALY IN THE LATTICE THEORY:THE WILSON FERMION / p64 (0035.jp2)
- 6.2 CHIRAL ANOMALY IN THE LATTICE THEORY:THE SUSSKIND FERMION / p66 (0036.jp2)
- 6.3 CHIRAL ANOMALY IN THE LATTICE THEORY:THE K-D FERMION / p68 (0037.jp2)
- 7 K-D fermions and the conformal anomaly in lattice gravity / p71 (0038.jp2)
- 7.1 CONFORMAL ANOMALY FOR SCALAR PARTICLES IN LATTICE GRAVITY / p71 (0038.jp2)
- 7.2 CONFORMAL ANOMALY FOR K-D FERMIONS IN LATTICE GRAVITY / p74 (0040.jp2)
- 8 K-D fermions and the gravitational anomaly in lattice gravity / p79 (0042.jp2)
- 8.1 GRAVITATIONAL ANOMALY IN THE CONTINUUM THEORY / p79 (0042.jp2)
- 8.2 GRAVITATIONAL ANOMALY FOR THE K-D FERMIONS IN LATTICE GRAVITY / p82 (0044.jp2)
- 8.3 GRAVITATIONAL ANOMALY FOR ANTISYMMETRIC FIELDS IN LATTICE GRAVITY / p86 (0046.jp2)
- 9 Conclusion / p89 (0047.jp2)
- Appendix A / p93 (0049.jp2)
- Appendix B / p105 (0055.jp2)
- Appendix C / p109 (0057.jp2)
- Appendix D / p118 (0062.jp2)
- Appendix E / p122 (0064.jp2)
- Appendix F / p126 (0066.jp2)
- Bibliograghy / p132 (0069.jp2)