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.

把引力场和其它三个基本场一样加以研究，一直是理论物理学的重要目标之一。由于爱因斯坦的引力理论被认为是不可能以标准的方式解释的，因此有许多替代方案被提出。其中超弦理论吸引了众多的研究者，因为它在物理和数学上都有着非凡的性质。然而，目前还不清楚该理论是否能很好地描述四维世界，同时，我们一直试图通过将时空离散为格点并采用数值方法来非微扰地描述爱因斯坦引力。我们已经成功地模拟了波动的空间所需的属性存在的连续理论。结果时空的性质具有四维共形引力的共同性质。这一成功在宇宙学中开辟了新的应用，例如微波背景辐射，暗物质和暗能量。

项目成果

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

S.Horata 等。

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.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)