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)提出一个新的测不准原理作为统一弦理论的可能基础：我们已经提出通过假设一个新的测不准原理来解释弦理论的短距离性质，该原理要求长度尺度的两个对偶测度Δ A和Δ TAB满足关系Δ DELTAB = Δ Da ^2，λ是普朗克长度。这自然地解释了弦振幅的高能量行为中自由度的减少。(2)提出一个新的作用量原理描述非微扰弦理论的结构在小于一维：我们已经构建了一个通用的数学框架，在这个框架中，非微扰弦理论作为双标度极限从矩阵模型导出，并以统一和通用的方式描述基于KP层次。特别地，我们提出了一个作用量原理，从这个作用量原理中可以理解该理论的整个结构，特别是它的对称性。 ...更多信息 好的。它可以被看作是一个新的正则形式的二维量子引力取代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：我们研究了弦的有效场论的特征--声子场对黑洞型经典解的影响，并在耦合的Einstein-Maxwell-Yang米尔斯系统中找到了新的解。(4)量子宇宙学的研究：我们已经讨论了量子宇宙学的解释，特别是从统计力学中的范霍夫理论的观点出发，宏观时间概念的产生。(5)标量场在广义相对论和宇宙学中作用的研究：我们研究了标量场的效应，特别是它可能表现为所谓的第五种力。我们已经提出了一个方案，解释了宇宙常数的小作为一个结果的自然时间依赖的耦合标量引力系统的动力学。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。