Gravitational anomaly in lattice gravity 格子重力理論における量子重力異常

Access this Article

Search this Article

Author

    • 下野, 昌人 シモノ, マサト

Bibliographic Information

Title

Gravitational anomaly in lattice gravity

Other Title

格子重力理論における量子重力異常

Author

下野, 昌人

Author(Another name)

シモノ, マサト

University

東京大学

Types of degree

理学博士

Grant ID

甲第8789号

Degree year

1990-10-22

Note and Description

博士論文

Table of Contents

  1. Contents / p1 (0003.jp2)
  2. 1 Introduction / p3 (0004.jp2)
  3. 2 Regge calculus / p5 (0005.jp2)
  4. 2.1 MATHEMATICAL PRELIMINARIES / p5 (0005.jp2)
  5. 2.2 THE REGGE CALCULUS / p7 (0006.jp2)
  6. 2.3 SYMMETRIES OF REGGE'S ACTION / p12 (0009.jp2)
  7. 2.4 CONFORMAL TRANSFORMATION / p13 (0009.jp2)
  8. 2.5 WEAK FIELD LIMIT / p15 (0010.jp2)
  9. 3 Kähler-Dirac equation / p21 (0013.jp2)
  10. 3.1 BASIC MATHEMATICAL TOOLS / p21 (0013.jp2)
  11. 3.2 THE KAHLER-DIRAC EQUATION / p24 (0015.jp2)
  12. 3.3 APPLICATIONS / p25 (0015.jp2)
  13. 3.4 SYMMETRIES AND PHYSICAL INTERPRETATIONS / p27 (0016.jp2)
  14. 3.5 POSSIBLE MODIFICATIONS OF THE K-D EQUATION / p31 (0018.jp2)
  15. 4 The K-D equation on simplicial lattices / p35 (0020.jp2)
  16. 4.1 SIMPLICIAL CALCULUS / p35 (0020.jp2)
  17. 4.2 THE K-D EQUATION ON A SIMPLICIAL COMPLEX / p39 (0022.jp2)
  18. 4.3 OTHER FIELDS ON A SIMPLICIAL LATTICE / p41 (0023.jp2)
  19. 5 K-D fermions with two-dimensional lattice gravity / p44 (0025.jp2)
  20. 5.1 THE ACTION / p44 (0025.jp2)
  21. 5.2 FIELD EQUATIONS / p49 (0027.jp2)
  22. 5.3 SYMMETRIES AND CHIRAL K-D FERMIONS / p52 (0029.jp2)
  23. 5.4 FIELDS WITH OTHER SPINS ON A TWO DIMENSIONAL LATTICE / p57 (0031.jp2)
  24. 6 Anomalies in the lattice theory / p64 (0035.jp2)
  25. 6.1 CHIRAL ANOMALY IN THE LATTICE THEORY:THE WILSON FERMION / p64 (0035.jp2)
  26. 6.2 CHIRAL ANOMALY IN THE LATTICE THEORY:THE SUSSKIND FERMION / p66 (0036.jp2)
  27. 6.3 CHIRAL ANOMALY IN THE LATTICE THEORY:THE K-D FERMION / p68 (0037.jp2)
  28. 7 K-D fermions and the conformal anomaly in lattice gravity / p71 (0038.jp2)
  29. 7.1 CONFORMAL ANOMALY FOR SCALAR PARTICLES IN LATTICE GRAVITY / p71 (0038.jp2)
  30. 7.2 CONFORMAL ANOMALY FOR K-D FERMIONS IN LATTICE GRAVITY / p74 (0040.jp2)
  31. 8 K-D fermions and the gravitational anomaly in lattice gravity / p79 (0042.jp2)
  32. 8.1 GRAVITATIONAL ANOMALY IN THE CONTINUUM THEORY / p79 (0042.jp2)
  33. 8.2 GRAVITATIONAL ANOMALY FOR THE K-D FERMIONS IN LATTICE GRAVITY / p82 (0044.jp2)
  34. 8.3 GRAVITATIONAL ANOMALY FOR ANTISYMMETRIC FIELDS IN LATTICE GRAVITY / p86 (0046.jp2)
  35. 9 Conclusion / p89 (0047.jp2)
  36. Appendix A / p93 (0049.jp2)
  37. Appendix B / p105 (0055.jp2)
  38. Appendix C / p109 (0057.jp2)
  39. Appendix D / p118 (0062.jp2)
  40. Appendix E / p122 (0064.jp2)
  41. Appendix F / p126 (0066.jp2)
  42. Bibliograghy / p132 (0069.jp2)
3access

Codes

  • NII Article ID (NAID)
    500000081547
  • NII Author ID (NRID)
    • 8000000081755
  • DOI(NDL)
  • NDLBibID
    • 000000245861
  • Source
    • NDL ONLINE
    • NDL Digital Collections

Export

Page Top