Nonperturbative solutions for canonical quantum gravity 正準量子重力における非摂動論的解

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著者

    • 江澤, 潔 エザワ, キヨシ

書誌事項

タイトル

Nonperturbative solutions for canonical quantum gravity

タイトル別名

正準量子重力における非摂動論的解

著者名

江澤, 潔

著者別名

エザワ, キヨシ

学位授与大学

大阪大学

取得学位

博士 (理学)

学位授与番号

甲第5412号

学位授与年月日

1996-03-25

注記・抄録

博士論文

14401甲第05412号

博士(理学)

大阪大学

1996-03-25

12309

目次

  1. Abstract / p1 (0002.jp2)
  2. Contents / p2 (0003.jp2)
  3. 1 Introduction / p3 (0004.jp2)
  4. 1.1 Motivations for quantum gravity / p3 (0004.jp2)
  5. 1.2 Issues on canonical quantum gravity / p5 (0006.jp2)
  6. 1.3 Ashtekar's formalism and solutions to the Wheeler-De Witt equation / p6 (0007.jp2)
  7. 1.4 An outline of this paper / p6 (0007.jp2)
  8. 2 Ashtekar's formalism / p8 (0009.jp2)
  9. 2.1 Classical theory / p8 (0009.jp2)
  10. 2.2 Quantization / p14 (0015.jp2)
  11. 3 Spin network states / p16 (0017.jp2)
  12. 3.1 Backgrounds and the definition / p16 (0017.jp2)
  13. 3.2 The induced Haar measure on SU(2) gauge theories / p19 (0020.jp2)
  14. 3.3 The coherent state transform and the induced heat-kernel measure / p23 (0024.jp2)
  15. 3.4 The Wick rotation transform / p25 (0026.jp2)
  16. 3.5 Diffeomorphism invariant states / p26 (0027.jp2)
  17. 3.6 Area and volume operators / p28 (0029.jp2)
  18. 3.7 Spin network states in terms of spinor propagators / p29 (0030.jp2)
  19. 4 Combinatorial solutions to the Wheeler-De Witt equation / p31 (0032.jp2)
  20. 4.1 Action of the scalar constraint on spin network states / p32 (0033.jp2)
  21. 4.2 Topological solutions / p36 (0037.jp2)
  22. 4.3 Analytic loop solutions / p37 (0038.jp2)
  23. 4.4 Combinatorial solutions / p37 (0038.jp2)
  24. 4.5 Issues on the combinatorial solutions / p40 (0041.jp2)
  25. 5 Discretized Ashtekar's formalism / p42 (0043.jp2)
  26. 5.1 Multi-plaquette solutions / p44 (0045.jp2)
  27. 5.2 Lessons to the continuum theory / p46 (0047.jp2)
  28. 6 Topological solutions / p47 (0048.jp2)
  29. 6.1 SL(2,C) BF theory and topological solutions / p47 (0048.jp2)
  30. 6.2 WKB orbits of the Chern-Simons solutions / p49 (0050.jp2)
  31. 6.3 Semiclassical interpretation of Ψtopo〔A〕 / p51 (0052.jp2)
  32. 6.4 The case of M⁽³⁾≈T³ / p55 (0056.jp2)
  33. 6.5 The Euclidean case / p59 (0060.jp2)
  34. 6.6 Topological solutions for N=1 supergravity / p60 (0061.jp2)
  35. 6.7 Summary and discussion on §6 / p64 (0065.jp2)
  36. 7 Other solutions and remaining issues / p64 (0065.jp2)
  37. 7.1 Loop representation and the Jones polynomial / p65 (0066.jp2)
  38. 7.2 The wormhole solution in N=1 supergravity / p66 (0067.jp2)
  39. 7.3 Remaining issues / p67 (0068.jp2)
  40. Appendix A The projector [数式] / p70 (0071.jp2)
  41. Appendix B Invariant measures on SU(2) and SL(2,C) / p70 (0071.jp2)
  42. B.4 The Haar measure on SU(2) / p71 (0072.jp2)
  43. B.5 The heat-kernel measure on SL(2,C) / p71 (0072.jp2)
  44. Appendix C Basic action of the renormalised scalar constraint / p73 (0074.jp2)
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各種コード

  • NII論文ID(NAID)
    500000130304
  • NII著者ID(NRID)
    • 8000000954070
  • DOI(NDL)
  • 本文言語コード
    • eng
  • NDL書誌ID
    • 000000294618
  • データ提供元
    • 機関リポジトリ
    • NDL-OPAC
    • NDLデジタルコレクション
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