Numerical Quantization of Gravitational field and Super String

引力场和超弦的数值量化

• 批准号: 11640264
• 负责人: YUKAWA Tetsuyuki
• 金额: $ 1.54万
• 依托单位: The Graduate University for Advanced Studies
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1999
• 资助国家: 日本
• 起止时间: 1999 至 2002
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11640264/
• 关键词: Quantum 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

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.

像其他三个基本领域一样量化引力是理论物理学的最重要目标之一。由于已知爱因斯坦的重力理论不可能以标准方式进行量化，因此提出了许多替代方法。在其中，超级字符串理论吸引了许多研究人员，因为它在物理和数学观点上都是非凡的本质。但是，尚不清楚该理论是否可以正确地描述四个维度的世界。与此同时，我们一直在尝试通过将时空离散为晶格并采用数值方法来非扰动地量化爱因斯坦重力。我们已经成功地模拟了具有连续理论的所需属性的波动空间。所得时空的性质具有4维形成重力的共同特性。这种成功在宇宙学中打开了新的应用，例如微波背景辐射，暗物质和暗能量。

项目成果

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)

H.S.Egaiva S.Horata.N.Tsuda,T.Yukawa：“4D 单纯量子引力与 U(1) 规范场的相变”Nucl.Phys.B（Proc，Suppl.）。

S.Horata et. al.: "Phase structure of four-dimensional simplicial quantum"Prog.Theor.Phys.. 106. 1037-1050 (2001)

S.Horata 等。

S.Oda 他1名: "Introducing Dynamical Triangulations to the Type IIB Superstrings"Nucl. Phys. B (Proc. Suppl.). 83-84. 754-756 (2000)

S. Oda 等人：“IIB 型超弦的动态三角测量”，Nucl. B（Proc. Suppl.）（2000 年）。

H.S.Egawa et.al.: "Common structures in simplicial quantum gravity"Phy.Lott.. B459. 97-104 (1999)

H.S.Ekawa 等人：“单纯量子引力中的常见结构”Phy.Lott.. B459。

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)

S.Horata 和其他 3 人：“U(1) 规范场的四维单纯量子引力的相结构”Prog. 106. 1037-1050 (2001)