Quantization of Space-Time and Gravitational Field

时空和引力场的量子化

• 批准号: 15540261
• 负责人: YUKAWA T.
• 金额: $ 2.37万
• 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: 2003
• 资助国家: 日本
• 起止时间: 2003 至 2006
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-15540261/
• 关键词: Quantum gravity; Simplicial quantum gravity; Random matrix theory; Boundary Liouville theory; Cosmic microwave background; Fluctuation anisotropy; Origin of universe; Dynamical triangulation; モンテカルロシミュレーション; 格子重力シミュレーション; ランダム行列模型; 境界のあるリュービル場の

Study of quantum gravity has two major purposes, firstly quantizing graviton to achieve a renormalizable quantum field theory of gravity, and secondly the quantum cosmology to create space-time. For the first topics we employ a numerical method known as the dynamical triangulation of the simplicial gravity to perform quantization of the Einstein general relativity, non-perturbatively. As for the second subject the dynamical triangulation is extended to create d-dimensional (d=2,3, and 4) manifold with the open topology of disk.Time is defined proper to the topology through the relation between the d-dimensional disk volume and the (d-1)-dimensional boundary surface area. Space coordinate system is embedded on the d-sphere with the distance defined through geodesic distance. In order to check the correctness of algorithm analytical solutions of the boundary Liouville field theory and the matrix models in 2-dimension are utilized.The method is applied to analyze the anisotropies of the cosmic microwave background by measuring the 2-point scalar curvature correlation on the last scattering surface created in the d-dimensional disk. It shows qualitative agreement to the 2-point temperature correlation observed by the WRAP mission.

量子重力的研究具有两个主要目的，首先对重力量进行量化，以实现重量化的量子场理论，其次是创建时空的量子宇宙学。对于第一个主题，我们采用一种数值方法，称为简单性重力的动力学三角剖分，以非扰动地对爱因斯坦一般相对性进行量化。至于第二个主题，将动态三角剖分扩展到具有磁盘开放式拓扑的D维（d = 2,3和4）歧管。和（D-1）维边界表面积。空间坐标系嵌入到D-Sphere上，并通过大地距离定义的距离。为了检查边界liouville田间理论的算法分析解决方案的正确性和2维中的矩阵模型。该方法用于分析宇宙微波背景的各向异性。在D维磁盘中产生的最后一个散射表面。它显示了与包装任务观察到的2分温度相关性的定性一致性。

项目成果

Focus on Quantum Gravity Research, Chap. 1; Background Free Quantum Gravity

专注于量子引力研究，第一章。

• 发表时间: 2006
• 作者: K.Hamada;S.Horata;T.Yukawa
• 通讯作者: T.Yukawa

Discrete space formulation of quantum gravity on R×S^<d-1>

R×S^<d-1> 上量子引力的离散空间公式

• 发表时间: 2006
• 期刊: Jour. of Phys. (Conf.Ser.) 33
• 作者: S.Horata;T.Yukawa
• 通讯作者: T.Yukawa

Progress in Biological Chiral ity, Chap. 32 Origin of biological chirality.

生物手性进展，第一章。

• 发表时间: 2004
• 期刊: ELSEVIER
• 作者: Tetsuyuki Yukawa;et al.G.Palyi et al. (edt' s)
• 通讯作者: et al.G.Palyi et al. (edt' s)

Cosmic microwave background anisotropies reveal quantized gravity

宇宙微波背景各向异性揭示量子引力

• 发表时间: 2005
• 期刊: Modern Physics Letters A20
• 作者: Ken-ji Hamada;Tetsuyuki Yukawa
• 通讯作者: Tetsuyuki Yukawa

Progress in Biological Chirality

生物手性研究进展

• 发表时间: 2004
• 作者: Tetsuyuki Yukawa;et al.(Edited by G.Palyi;C.Zucchi;L.Caglioti)
• 通讯作者: L.Caglioti)