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Application of Field theory to Quantum Gravity and Condensed matter physiss

Research Project

Project/Area Number 07044048
Research Category

Grant-in-Aid for international Scientific Research

Allocation TypeSingle-year Grants
SectionJoint Research
Research InstitutionHokkaido Univ.

Principal Investigator

KAWAMOTO Noboru  Department of Physics, Graduate School of Science, Hokkaido University, Professor, 大学院・理学研究科, 教授 (50169778)

Co-Investigator(Kenkyū-buntansha) DAMGUARD Poul  Niels Bohr Institute, ボーア研究所, 助教授
PETERSEN Jen  ニールス, ボーア研究所, 教授
NIELSEN Holger  Niels Bohr Institute, ボーア研究所, 教授
OLESEN Poul  Niels Bohr Institute, ボーア研究所, 教授
AMBJORN Jan  Niels Bohr Institute, ボーア研究所, 教授
SUEHIRO Kazuhiko  Dept.of Physics, Graduate School of Science, Hokkaido Univ., 大学院・理学研究科, 講師 (60211976)
SUZUKI Hisao  Dept.of Physics, Graduate School of Science, Hokkaido Univ., 大学院・理学研究科, 助教授 (20192619)
NAKAYAMA Ryuichi  Dept.of Physics, Graduate School of Science, Hokkaido Univ., 大学院・理学研究科, 助教授 (30217947)
ISHIKAWA Kenzo  Dept.of Physics, Graduate School of Science, Hokkaido University, 大学院・理学研究科, 教授 (90159690)
PETERSEN Jeuslyng  Niels Bohr Institute
PETERSEIN Je  ニールス, ボーア研究所, 教授
ULESEN Poul  ニールス, ボーア研究所, 教授
Project Period (FY) 1995 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥6,000,000 (Direct Cost: ¥6,000,000)
Fiscal Year 1996: ¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 1995: ¥3,000,000 (Direct Cost: ¥3,000,000)
Keywordsquantum grarity / tractal / quantum halleffect / string theory / quantization / Super Yang-Mills / Schwinger-Dyson / Super Yang-Mills / Schninger-Dyson
Research Abstract

This has been a very intensive exchange program. The followings are the collaborations between the members of two groups :
1) Numerical simulations of two-dimensinal lattice quantum gravity for c=-2 model.
2) Lattice gravity for 3-dimensional Ashtekar formalism.
3) Non-critical open strings.
There are further cooperative discussions which may have influenced the following subjects :
1) Quantization of generalized Chern-Simons actions in arbitrary dimensions.
2) Two-dimensional quantum gravity and strings.
3) Quantum hall effects.
4) Non-perturbative aspects of supersymmetric Yang-Mills theories.

Report

(3 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • Research Products

    (30 results)

All Other

All Publications (30 results)

  • [Publications] J.Ambjorn,N.Kawamoto,et.al.: "Quantum geometry of topological gravity" Phys.Lett.B. (in press). (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] N.Kawamoto,E.Ozawa and K.Suehiro: "Quantization of gl (I.IR) generalized Chern-Simons Action in two dimensions" Mod.Phys.Lett.A. (in press). (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] N.Kawakoto,K.Suehiro,T.Tsukioka and H.Umetsu: "Quantization of Infinitely Reducible Generalized Chern-Simons Actions in Two-Dimensions" comm.math.phys.(Aubmitted).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] R.Nakayama and T.Suzuki: "Loop equations with Ising spins either all upor all down in c=1/2 noncritical string theory" Phys.Rev.D54. 3985-3994 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] J.Ambjorn,K.Hayasaka and R.Nakayama: "Non-critical strings beyond the semi-classical approximation" preprint NBI-HE-97-04,EPHOU-97-002 Feb.1997. (Submitted).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] R.Nakayama and T.Suzuki: "Integrability of Schwinger-Dyson equations in 2D quantum gravity and C<1 non-critical string field theory" Phys.Lett.B354. 69-77 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Ikehara,R.Nakayama,et al.: "Anote on string field theory" Prog.thor.phys.supple.118. 241-257 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] K.Ishikawa,et.al.: "Integer quantum Hall effect with realistic boundary condition : Exoctquantization and breakdown" Phys.Rev.B. 54・24. 17819-17837 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] K.Ishikawa and N.Maeda: "Flux state in von Neumann Lattices and the Fructional Hall Effect" Prog.Theor.Phys.97.3 (in press). (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Suzuki and T.Masuda: "Integral Equations of Fields on a Rotating Black Hole" Jaurn.of Math.Phys.(in press). (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Suzuki and T.Masuda: "Periods and Prepotential of N=2 SU (2) Super Symmetric Yung-Mills Theory with Mussive Hyper multiplets" hep-th/9609066,E PHOU 96-005. (submitteid).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Suzuki: "Enhanced Gauge Symmetry in Three-moduli Models of Type-II string and Hypergeometric Series" hep-th/9701094,E PHOU 97-001・.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] J.Ambjorn, N.Kawamoto, et.al.: "Quantum geometry of topological gravity" Phys.Lett.B. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] N.Kawamoto, E.Ozawa and K.Suehiro: "Quantization of gl (1,1R) generalized Chern-Simons Action in two dimensions" Mod.Phys.Letl.A. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] N.Kawamoto, K.Suehiro, T.Tsukioka and H.Umetsu: "Quantization of Infinitely Reducible Generalized Chern-Simons Actions in Two-Dimensions" Comm.Math.Phys.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] R.Nakayama and T.Suzuki: "Loop equations with Isingspins either all upor all down in c=1/ moncritical string theory" Phys.Rev.D. 54. 3985-3994 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] J.Ambjorn, K.Hayasaka and R.Nakayama: "Non-critical strings beyond the semi-classical approximation" preprint EPHOU-917-002.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] R.Nakayama and T.Suzuki: "Integrability of Schwinger-Dyson equations in 2D quantum grovity and C<1 non-critical string fieed theory" Phys.Lett.B. 354. 69-77 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Ikehara, R.Nakayama, et.al.: "Anote on string field theory" Prog.theor.phys.supple.118. 241-257 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] K.Ishikawa, et.al.: "Integer quantum Halleffect with realistic boundary condition : Exact quantization and breakdown" Phys.Rev.B. 54・24. 17819-17837 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] K.Ishikawa and N.Maeda: "Flux state in von Neumann Lattices and the Fractional Hall Effect" Prog.theor.Phys.97・3 (in press). (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Suzuki and T.Masuda: "Integral Equations of Fields on a Rotuting Black Hole" Jour.of Math.Phys.(in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Suzuki and T.Masuda: "Periods and Prepotential of N=2 SU (2) Super Symmetric Yang-Mills Theory with Massive Hyper Multi plets" EPHOU 96-005. (sub mitted).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Suzuki: "Enhanced Gauge Symmetry in Three-Moduli Models of Type-II String and Hypergeometric Series" EPHOU 97-001. (sub mitted).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] J.Ambjorn,N.Kawamoto,et.al.: "Quantum geometry of topological gravity" Phys.Lett.B. (in press). (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] N.Kawamoto,E.Ozawa and K.Suehiro: "Quantization of gl (I.IR) generalized Chern-Simons Action in two dimensions" Mod.Phys.Lett.A. (in press). (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] N.Kawamoto,K.Suehiro,T.Tsukioka and H.Umetsu: "Quantization of Infinitely Reducible Greneralized Chern-Simons Actions in Two Dimensions" Comm.math.Phys.(submitted).

    • Related Report
      1996 Annual Research Report
  • [Publications] R.Nakayama and T.Suzuki: "Loop equations with Ising spins either all up or all down in C=1/2 non critical string theory" Phys.Rev.D54. 3985-3994 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] J.Ambjorn,K.Hayasaka and R.Nakayama: "Non-critical open strings beyond the semi-classical approximation" prepint NBI-HE-97-04,EPHOU-97-002 Feb.(submitted).

    • Related Report
      1996 Annual Research Report
  • [Publications] K.Ishikawa and N.Maeda: "Flux state in von Neumann Lattices and the Fructional Hall Effect" Prog.Theoreticul : Physics. 97・3(in press). (1997)

    • Related Report
      1996 Annual Research Report

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Published: 1995-04-01   Modified: 2016-04-21  

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