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1995 Fiscal Year Final Research Report Summary

Study of Quantum Gravity

Research Project

Project/Area Number 05302016
Research Category

Grant-in-Aid for Co-operative Research (A)

Allocation TypeSingle-year Grants
Research Field 素粒子・核・宇宙線
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

NINOMIYA Masao  Yukawa Institute for Theoretical Physics, Professor, 基礎物理学研究所, 教授 (40198536)

Co-Investigator(Kenkyū-buntansha) MATSUO Yutaka  Yukawa Institute for Theoretical Physics, Assistant Professor, 基礎物理学研究所, 助教授 (50202320)
NAKAYAMA Ryuichi  Hokkaido University, Faculty of Science, Assistant Professor, 理学部, 助教授 (30217947)
KITAZAWA Yoshihisa  Tokyo Institute of Technology, Faculty of Science, Assistant Professor, 理学部, 助教授 (10195258)
KAZAMA Youichi  The University of Tokyo, College of Arts and Sciences, Professor, 教養学部, 教授 (60144317)
EGUCHI Tohru  The University of Tokyo, Faculty of Science, Professor, 理学部, 教授 (20151970)
Project Period (FY) 1993 – 1995
KeywordsQuantum gravity / Two dimensional gravity / Renormaliztion group / String Theory / Quantum black hole / epsilon expansion / Unified theory / Random surface
Research Abstract

In the final year of this research project there are reported numerous important achievements. Some main results are described below.
1.M.Ninomiya, together with Y.Kitazawa (investigator) and H.Kawai (Professor of KEK) , constructed to study in detail a theory fo a quantum gravity in 2+epsilon dimensions by using a nonperturbative methos in quantum field theory. In 1996, it was proven by induction that the theory is renormalizable in all orders in perturbation theory. It is the first time that a consisitent quantum gravity in higer dimensions was given. The theory may be a new starting point for studing of quantum gravity. We are olanning to go ahead our study of characteristic porperties of quantum gravity and application to quantum cosmology.
2.T.Eguchi published a paper on toplogical string, which attract a lot of worldwide interest.
3.Y.Kazama reported an extremely important result on the study of quantum black hole.
4.R.Nakayama achieved a study of nonperturbatibe construction of string field theory, whisn has been leading the study of this subject in the world.
5.Y.Matsuo reproted an epoch making result on a study of W_* algebra, which plays an important role in quantum gravity and string theory.

  • Research Products

    (13 results)

All Other

All Publications (13 results)

  • [Publications] 川合 光: "Renormalizability of Quantum Gravity Near Two-Dimensions" Nuclear Physics in press. B. (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 江口 徹: "On the Genus Expantion in the Topological String Theory" Review of Mathematical Physics. 2. 279-309 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 風間 洋一: "Unified Approach to Solvable Models of Dilaton Gravity in Two-Dimensions Based on Symmetry" Physical Review. D51. 4265-4276 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 北沢 良久: "Quantum Gravity is Renormalizable Near Two Dimensions" Nuclear Physics. B453. 477-488 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 中山 隆一: "Integrability of Schwinger-Dyson Equations in 2 D Quantum Gravity and C<1 Non-critical String Field Theory" Physics Letters. B354. 69-77 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 栗田 英資: "Exited States of the Calogero-Sutherland Model and Singular Bectors of the W_N Algebra" Nuclear Physics. B449. 347-374 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 石橋 延幸・川合 光・福間 將文・二宮 正夫: "Two Dimensional Quantum Gravity in Temporal Gauge" Nuclear Physics B. 427. 139-157 (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Kawai: "Renormalizability of Quantum Gravity Near Two-Dimensions" Nuclear Physics B. (in press). (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Eguchi: "On the Genus Expantion in the Topological String Theory" Review of Mathematical Physics. 2. 279-309 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Kazama: "Unified Approach to Solvable Models of Dilaton Gravity in Two-Dimensions Based on Symmetry" Physical Review. D51. 4265-4276 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Kitazawa: "Quantum Gravity is Renormalizable Near Two Dimensions" Nuclear Physics. B453. 477-488 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] R.Nakayama: "Integrability of Schwinger-Dyson Equations in 2D Quantum Gravity and C<1 Non-critical String Field Theory" Physics Letters. B354. 69-77 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Awata: "Exited States of the Calogero-Sutherland Model and Singular Bectors of the W_N Algebra" Nuclear Physics. B449. 347-374 (1995)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1997-03-04  

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