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Quantum symmetry in field theory and its applications

Research Project

Project/Area Number 04640285
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 核・宇宙線・素粒子
Research InstitutionThe University of Tokyo

Principal Investigator

FUJIKAWA Kazuo  The University of Tokyo Graduate School of Science, Professor, 大学院・理学系研究科, 教授 (30013436)

Co-Investigator(Kenkyū-buntansha) KUBO Jisuke  College of General Education Kanazawa University, Associate Professor, 教養部, 助教授 (40211213)
Project Period (FY) 1992 – 1993
Project Status Completed (Fiscal Year 1993)
Budget Amount *help
¥1,500,000 (Direct Cost: ¥1,500,000)
Fiscal Year 1993: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1992: ¥700,000 (Direct Cost: ¥700,000)
KeywordsField theory / Anomaly / Quantum Gravity / Tunneling effect / Topology / アノマリー(量子異常)
Research Abstract

Fujikawa continued his research of quantum mechanical aspects of two-dimensional gravity and tried to clarify the role of quantum anomaly in quantum gravity. To be specific, he tried to understand the direct relation between the discretized gravity on the basis of dynamical triangulation, on the one hand, and the more conventional two-dimensional gravity on the basis of Liouville action. In particular, he tried to understand the manifestation of the Weyl anomaly and the associated Liouville action in the dynamical triangulation. In the process, he obtained a rather clear physcal picture of the Weyl symmetry breaking and its retoration in the dynamical triangulation scheme together with the notion of coordinates. He also presented a simple nondiagramatic calculation of one-loop beta function in QCD.
Fujikawa also continued the past study of quantum tunneling in connection with the baryon number violation in the gauge theory. He investigated how to overcome the shortcoming of the instanton calculus although much of the subject is left for future investigation.
Kubo gave a general formulation of quantum anomaly and related anomalous commutators on the basis of the extended phase space. This method can be applied to a wide variety of subjects ; he obtained quite interesting results in gauge independent formulation of two dimensional gravity and the evaporation of black holes.

Report

(3 results)
  • 1993 Annual Research Report   Final Research Report Summary
  • 1992 Annual Research Report
  • Research Products

    (24 results)

All Other

All Publications (24 results)

  • [Publications] K.Fujikawa: "A semi-classical continum limit of dynamical triangulation and Weyl symmetry" Nuclear Physics B. 391. 675-694 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] K.Fujikawa: "Nondiagramatic calculation of one-loop β function in QCD" Physical Review D. 48. 3922-3924 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] K.Fujikawa: "BRST symmetry in string and membrane theories" Progress of Thesretical physics Suppl.114. 185-199 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] T.Fujiwara: "A new insight into BRST anomalies in string theory" Nuclear Physics B. 391. 211-228 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] T.Fujiwara: "Gauge equivalence in two-dimensional gravity" Physical Review D. 48. 1736-1747 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] T.Fujiwara: "Unrecognizable black holes in two dimensions" Physics Letters B. 316. 66-73 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] K.Fujikawa, et al.: "A semi-classical continuum limit of dynamical triangulation and Weyl symmetry." Nuclear Physics B391. 675-694 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] K.Fujikawa: "Nondiagramatic calculation of one-loop beta function in QCD." Physical Review D48. 3922-3924 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] K.Fujikawa: "BRST symmetry in string and membrane theories." Progress of Theoretical Physics Suppl.114. 185-199 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] T.Fujiwara et al.: "A new insight into BRST anomalies in string theory." Nuclear Physics B391. 211-228 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] T.Fujiwara et al.: "Gauge equivalence in two-dimensional gravity." Physical Review D 48. 1736-1747 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] T.Fujiwara et al.: "Unrecognizable black holes in two dimensions." Physics Letters B316. 66-73 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] K.Fujikawa: "A semi-classical continuum limit of dynamical triangulation and Weyl symmetry" Nuclear Physics B. 391. 675-694 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] K.Fujikawa: "Nondiagramatic calculation of one-loop β function in QCD" Physical Review D. 48. 3922-3924 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] K.Fujikawa: "BRST symmetry in string and membrane theories" Progress of Thesretical physics Suppl.114. 185-199 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] T.Fujiwara: "A new insight into BRST anomalies in string theory" Nuclear Physics B. 391. 211-228 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] T.Fujiwara: "Gauge equivalence in two-dimensional gravity" Physical Review D. 48. 1736-1747 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] T.Fujiwara: "Unrecognizable black holes in two dimensions" Physics Letters B. 316. 66-73 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 藤川和男: "ゲージ場の理論" 岩波書店, 244 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] K.Fujikawa,S.Iso,M.Sasaki,H.Suzuki: "Quantum Tunneling with Dissipation:possible enhancement by dissipative interactions" Physical Review. B46. 10295-10309 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] K.Fujikawa,M.Ninomiya: "Semi-classical continuum limit of dynamical triangulation and Weyl symmetry" Nuclear Physics. B. (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] T.Fujiwara Y.Igarashi,J.Kubo: "Anomaly in the Schrodinger representation" Nuclear Physics. B387. 447-463 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] T.Fujiwara,Y.Igarashi J.Kubo,K.Maeda: "A new insight into BRST anomalies in string theory" Nuclear Physics. B. (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] 藤川 和男: "ゲンジ場の理論" 岩波書店, (1993)

    • Related Report
      1992 Annual Research Report

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Published: 1992-04-01   Modified: 2016-04-21  

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