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Numerical Quantization of Gravitational field and Super String

Research Project

Project/Area Number 11640264
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 素粒子・核・宇宙線
Research InstitutionThe Graduate University for Advanced Studies

Principal Investigator

YUKAWA Tetsuyuki  The Graduate University for Advanced Studies, Coordination Center for Research and Education, Professor, 教育研究交流センター, 教授 (20110091)

Project Period (FY) 1999 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 2002: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2001: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2000: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1999: ¥600,000 (Direct Cost: ¥600,000)
KeywordsQuantum gravity / Lattice gravity / Dynamical triangulition / Numerical field Theory / Monte Carlo Method / Conformal gravity / Einstein gravity / Dark matter / 三角分割 / 数値的量子化 / 4次元共形量子重力 / 格子重力理論 / スカラー場 / 超弦模型 / 力学的単体分割法 / 連続極限 / 力学的単体分割 / 超対称性
Research Abstract

To quantize the gravity like the other three fundamental fields has been one of the most important goals of theoretical physics. Since Einstein's theory of gravity is known to be impossible to quantize in the standard manner, there have been many alternatives proposed. Among those the super string theory attracts many researchers because it's extraordinary nature in both physical and mathematical points of view. However, it is not clear yet whether the theory can describe the four dimensional world properly.
In the meanwhile we have been trying to quantize the Einstein gravity non-perturbatively, by discretizing the space-time into lattice and employing the numerical method. We have been successful to simulate the fluctuating space with required properties for the existence of a continuum theory. The nature of resultant space-time has the common properties to the 4 dimensional conformal gravity. This success opens new applications in the cosmology, for examples the microwave background radiation, the dark matter and the dark energy.

Report

(5 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • Research Products

    (27 results)

All Other

All Publications (27 results)

  • [Publications] H.S.Egawa 他2名: "Common Structures in Simplicial Quantum Gravity"Phys. Lett.. B459. 97-104 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.S.Egawa 他4名: "Further Evidence of a Smooth Phase in 4D Simplicial Quantum Gravity"Nucl. Phys. B (Proc. Suppl.). 73. 795-797 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] S.Oda 他1名: "Type IIB super strings"Prog. Theor. Phys.. 102. 215-220 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] S.Oda 他1名: "Introducing Dynamical Triangulations to the Type IIB Superstrings"Nucl. Phys. B (Proc. Suppl.). 83-84. 754-756 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.S.Egawa 他3名: "Phase Transition of 4D Simplicial Quantum Gravity with U(1) Gauge Field"Nucl. Phys. B (Proc. Suppl.). 83-84. 751-753 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.S.Egawa 他2名: "The geometry of 4D simplicial quantum gravity with aU(1) gauge field is studied numerically"Nucl. Phys. B (Proc. Suppl.). 94. 701-703 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] S.Horata 他3名: "Phase Structure of Four-dimensional Simplicial Quantum Gravity with a U(1) Gauge Field"Prog. Theor. Phys.. 106. 1037-1050 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] S.Horata 他2名: "Matter Dependence of the String Susceptabilish"Prog. Theor. Phys.. 108. 1171-1176 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.S.Egawa 他2名: "Clear Evidence of a Continuum Theory of 4D Euclidean Simplicial Quantum Gravity"Nucl. Phys. B (Proc. Suppl.). 106. 971-973 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.S.Egawa et.al.: "Common structures in simplicial quantum gravity"Phy.Lott.. B459. 97-104 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.S.Egawa et.al.: "Further evidence of a smooth phase in 4D simplicial quantum"Nucl.Phys B(Proc.suppl.). 102. 795-797 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] S.Oda et. al.: "Type IIB super string"Prog.Theor.Phys.. 102. 215-220 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] S.Oda et. al.: "Introducing Dynamical triangulation to the type IIB super string"Nucl.Phys. B(Proc.suppl.). 83-84. 754-756 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.S.Egawa et.al.: "Phase transition of 4D simplicial quantum gravity ・・・"Nucl.Phys. B(Proc.suppl.). 83-84. 751-753 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.S.Egawa et.al.: "Geometry of 4-d quantum gravity with a U(1) gauge ・・・"Nucl.Phys. B(Proc.suppl.). 94. 701-703 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] S.Horata et. al.: "Phase structure of four-dimensional simplicial quantum"Prog.Theor.Phys.. 106. 1037-1050 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] S.Horata et. al.: "Matter dependence of the string susceptibility exponent in ・・・"Prog.Theor.Phys.. 108. 1171-1176 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.S.Egawa et.al.: "Clear evidence of the continuum theory of 4D Euclidean ・・・"Nucl.Phys. B(Proc.suppl.). 106. 971-973 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] S.Horata, H.S.Egawa, T.Yukawa: "Matter Dependence of the String Susceptibility Exponent in Four-Dimensional Simplicial Quantum Gravity"Prog. Theor. Phys.. 108. 1171-1176 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] H.S.Egawa, S.Horata, T.Yukawa: "Clear evidence of a continuum theory of 4D Euclidean simplicial quantum gravity"Nucl.Phys.B(Pro.Suppl.). 106. 971-973 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] H.Egawa, S.Horata, T.Yukawa: "Geometry of 4-d quantum gravitg with a U(1)gauge field"Nucl. Phys. B(Proc. Suppl.). 94. 701-703 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] S.Horata, H.Egawa, N.Tsuda, T.Yukawa: "Phase structure of four-dimensional simplicial quantum gravity with a U(1) gauge field"Prog. Theor. Phys.. 106. 1037-1050 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] S.Oda,T.Yukawa: "Introducing Dynamical Triangulation to the type IIB Supersting"Nucl.Phys.B(Proc,Suppl.). 83-84. 754-756 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] H.S.Egaiva S.Horata.N.Tsuda,T.Yukawa: "Phase Transition of 4D Simplicial Quantum Gravity with U(1) Gauge Field"Nucl.Phys.B (Proc,Suppl.). 83-84. 751-753 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] H.S.Egawa,N.Tsuda,T.Yukawa: "Common Structures in simplicial quantum gravity"Phys. Lett.. B459. 97-104 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.S.Egawa,A.Fujitsu,S.Horata,N.Tsuda,T.Yukawa: "Further evidence of a smooth phase in 4D simplicial quantum gravity"Nucl. Phys. B (Proc. Suppl.). 73. 795-797 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] S.Oda,T.Yukawa: "Type IIB super strings"Prog. Theor. Phys.. 102. 215-220 (1999)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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