Geometrical Approach to Quantum Gravity and Super-String Theory

量子引力和超弦理论的几何方法

• 批准号: 63540207
• 负责人: YONEYA Tamiaki
• 金额: $ 1.22万
• 依托单位: The University of Tokyo
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1988
• 资助国家: 日本
• 起止时间: 1988 至 1990
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-63540207/
• 关键词: String Theory; Super-String Theory; Quantum Gravity; Unified Theory; Quantum Cosmology; Cosmological Constant; Fifth Force; Quantum Field Theory; 共形代数; 統一場理論

(1) Proposal of a new indeterminacy principle as a possible basis for the unified string theory :We have proposed to interpret the short-distance properties of the string theory by assuming a new indeterminacy principle which demands that there two dual measures DELTAA and DELTAB of the length scale obeying the relation DELTAADELTAB=lambda^2 with lambda being the Planck length. This naturally explains the decrease of the degrees of the freedom in the high-energy behavior of the string amplitudes.(2) Proposal of a new action principle describing the structure of the non-perturbative string theory in less-than one dimension :We have constructed a general mathematical framework in which non-perturbative string theory derived as the double scaling limit from the matrix model is described in a unified and universal way based on the KP hierarchy. In particular, we have proposed an action principle from which the whole structure of the theory, especially, its symmetry property, can be underst … More ood. It can be regarded as a new canonical formalism for 2D quantum gravity replacing the Hamiltonian formalism of the ordinary field theory.(3) Investigation of effective low-energy theory for the unified string theory :We have investigated the effect of the dilaton field, which is a characteristic of the effective field theory for strings, on the classical solutions of the black-hole type, and found new solutions in a coupled Einstein-Maxwell-Yang Mills system.(4) Investigation of quantum cosmology :We have discussed the interpretation of quantum cosmolosy, in particular, the generation of the notion of macroscopic time from the viewpoint of the Van-Hove theory in statistical mechanics.(5) Investigation of the role of scalar fields in general relativity and cosmology :We have investigated the effects of scalar fields, in particular, its possible manifestation as the so-called fifth force. We have proposed a scenario which explains the smallness of the cosmological constant as a result of the natural time-dependent dynamics of coupled scalar-gravitational systems. Less

(1)提出一种新的不确定性原理作为统一弦理论的可能基础：我们提出了一种新的不确定性原理来解释弦理论的短距离性质，该原理要求存在两个长度尺度的双测度DELTAA和DELTAB，它们服从delta taadeltab =lambda^2的关系，其中lambda为普朗克长度。这自然解释了弦振幅的高能量行为中自由度的减小。(2)提出了一种新的作用原理，描述了小于一维的非微扰弦理论的结构：我们构建了一个通用的数学框架，在这个框架中，基于KP层次，以统一和通用的方式描述了从矩阵模型导出的作为双标度极限的非微扰弦理论。特别是，我们提出了一个作用原理，从这个原理可以理解理论的整个结构，特别是它的对称性。它可以看作是二维量子引力的一种新的标准形式，取代了普通场论的哈密顿形式。(3)统一弦理论的有效低能理论研究：我们研究了弦有效场论的特征——膨胀场对黑洞型经典解的影响，并在耦合的爱因斯坦-麦克斯韦-杨-米尔斯系统中发现了新的解。(4)量子宇宙学的研究：我们讨论了量子宇宙学的解释，特别是从统计力学中Van-Hove理论的观点出发的宏观时间概念的产生。(5)研究标量场在广义相对论和宇宙学中的作用：我们研究了标量场的效应，特别是它作为所谓第五种力的可能表现。我们提出了一个场景来解释宇宙常数的小，这是耦合标量引力系统的自然时间依赖动力学的结果。少

项目成果

I.Ichinose: "Ambiquities and BRST anomalies in 4D heterotic string theories" Int.Journ.of Mod.Physics A. 5. 479-500 (1990)

I.Ichinose：“4D 异质弦理论中的模糊性和 BRST 异常” Int.Journ.of Mod.Physics A. 5. 479-500 (1990)

Shimizu: Mod.Phys.Lett.

清水：Mod.Phys.Lett。

J.E.Faller:et al. E.Richter: "論文名"Precision experiments to search for the jifth jorce in Proc.of Conf.on Precision Electromaynetic Experimente"" IEEE,

J.E.Faller：等人 E.Richter：“论文标题“在 Proc.of Conf.on Precision Electromaynetic Experimente 中搜索 jifth jorce 的精密实验”” IEEE，

Yasuniri Fujii: "Saving the mechanism of a decaying cosmological constant" Mod. Phys. Lett.A4. 513-518 (1989)

Yasuniri Fujii：“拯救衰变宇宙常数的机制” Mod。

Hiroyuki Yamazaki: "Charged black hole solutions in superstring theory" Mod.Phys.Lett. A4. 1509-1519 (1989)

Hiroyuki Yamazaki：“超弦理论中的带电黑洞解决方案”Mod.Phys.Lett。