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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)
加藤 光裕  東京大学, 教養学部, 助教授 (80185876)
藤川 和男  東京大学, 理学部, 教授 (30013436)
上原 正三  京都大学, 基礎物理学研究所, 助手 (20168652)
畑 浩之  京都大学, 理学部, 助手 (70164837)
中西 襄  京都大学, 数理解析研究所, 教授 (30027362)
Project Period (FY) 1993 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥11,700,000 (Direct Cost: ¥11,700,000)
Fiscal Year 1995: ¥3,300,000 (Direct Cost: ¥3,300,000)
Fiscal Year 1994: ¥4,800,000 (Direct Cost: ¥4,800,000)
Fiscal Year 1993: ¥3,600,000 (Direct Cost: ¥3,600,000)
KeywordsQuantum gravity / Two dimensional gravity / Renormaliztion group / String Theory / Quantum black hole / epsilon expansion / Unified theory / Random surface / 二展開 / 弦の場の理論 / 共形場の理論
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.

Report

(4 results)
  • 1995 Annual Research Report   Final Research Report Summary
  • 1994 Annual Research Report
  • 1993 Annual Research Report
  • Research Products

    (35 results)

All Other

All Publications (35 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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [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
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 川合光: "Renormalizability of Quantum Gravity Near Two-Dimensions" Nuclear Physics in press. B. (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] 江口徹: "On the Genus Expantion in the Topological String Theory" Review of Mathematical Physics. 2. 279-309 (1995)

    • Related Report
      1995 Annual Research Report
  • [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)

    • Related Report
      1995 Annual Research Report
  • [Publications] 北沢良久: "Quantum Gravity is Renormalizable Near Two Dimensions" Nuclear Physics. B453. 477-488 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 中山隆一: "Integrability of Schwinger-Dyson Equations in 2D Quantum Gravity and C<1Non-critical String Field Theory" Physics Letters. B354. 69-77 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 粟田英資: "Exited States of the Calogero-Sutherland Model and Singular Bectors of the W_N Algebra" Nuclear Physics. B449. 347-374 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 相田 敏明: "Conformal Invariance and Renormalization Group in Quantum Gravity near Two Dimensions" Nuclear Physics. B427. 158-180 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 藤川 和男: "Generalized Pauli-Villars Regularization and Covariant Form of Anomalies" Nuclear Physics. B428. 169-188 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 中山 隆一: "2D Quantum Gravity in the Proper-Time Gauge" Physics Letters. B325. 347-353 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 石川 洋: "C=1 String as a Topological Model" International Journal of Modern Physics. A9. 5769-5789 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 相田 敏明: "Two-Loop Renormalization in Quantum Gravity near Two Dimensions" Nuclear Physics. B. (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 粟田 英資: "Quasifinite Highest Weight Mudules over the Super W_<1+∞> Algebra" Communications in Mathematical Physics. (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 吉川 圭二: "Quantum Gravity(Proceedings of the Seventh Nishinomiya-Yukawa Memorial symposium)" World Scientific Publishing Co., 206 (1993)

    • Related Report
      1994 Annual Research Report
  • [Publications] 二宮 正夫: "重力が生まれる瞬間" 岩波書店, 130 (1993)

    • Related Report
      1994 Annual Research Report
  • [Publications] 川合 光,北沢 良久,二宮 正夫: "Scaling Exponents in Quantum Gravity Near Two Dimensions" Nuclear Physics. B393. 280-300 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 川合 光,北沢 良久,二宮 正夫: "Ultraviolet Stable Fixed Point and Scaling Relations in 2+ε Dimensional Quantum Gravity" Nuclear Physics. B404. 684-714 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 福間 將文,二宮 正夫: "2 Dimensional Quantum Gravity in Temporal Gauge" Yukawa Inst.Preprint. YITP/U-93-37. 1-20 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 阿部 光雄,中西 襄: "New Diagrammatic Method for Quantum Field Theory in the Heisenberg Picture II-Various Models-" Progress of Theoretical Physics. 90. 1319-1342 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 石川 洋,加藤 光裕: "c=1 String as a Topological Model" Nuclear Physics. 印刷中.

    • Related Report
      1993 Annual Research Report
  • [Publications] 多田 司,上原 正三: "On the Mass of a Two Dimensional Quantum Black Hole" Physics Letter. B305. 23-26 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 吉川 圭二,二宮 正夫: "Quantum Gravity(Proceedings of the Seventh NishinomiyaYukawa Memorial Symposium)" World Scientific Publishing Co., 206 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 二宮 正夫: "重力が生まれる瞬間" 岩波書店, 130 (1993)

    • Related Report
      1993 Annual Research Report

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Published: 1993-04-01   Modified: 2018-02-02  

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