Constructive Formulation of String Theory

弦理论的构造性表述

• 批准号: 10640290
• 负责人: KAWAI Hikaru
• 金额: $ 2.37万
• 依托单位: KYOTO UNIVERSITY (1999-2001)The High Energy Accelerator Research Organization (1998)
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 2001
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10640290/
• 关键词: string theory; theory of everything; IIB matrix model; non-perturbative effect; constructive formulation; non-commutative geometry; quantum gravity; grand unified theory; IIB行列模型; 弦理論の構成的定式化; アインシュタイン理論; ストリング理論; マトリックス模型; IIBマトリックス模型; 弦理論の構

A constructive formulation of string theory is proposed and analyzed. We have expressed string theory in terms of a matrix model called IIB matrix model (or sometimes called IKKT model), and examined whether the dimension of the space-time and the field contents of the standard model are properly generated by this model. We also have analyzed the relation between IIB matrix model and the non-commutative geometry, and found a mechanism of realizing curved space-time and the general coordinate invariance in this model. Although we need an intensive numerical simulation or some new analytic method to prove the validity of our formalism, we expect that this model will explain various physical quantities such as masses of quarks and leptons, and serves as the theory of everything.

提出并分析了弦理论的一种构造性表述。我们用一种称为IIB矩阵模型(或有时称为IKKT模型)的矩阵模型来表示弦理论，并考察了该模型是否恰当地生成了标准模型的时空维度和场内容。我们还分析了IIB矩阵模型与非对易几何的关系，发现了实现弯曲时空的机制和该模型的一般坐标不变性。虽然我们需要密集的数值模拟或一些新的分析方法来证明我们的形式主义的有效性，但我们预计这个模型将解释各种物理量，如夸克和轻子的质量，并作为万物理论。

项目成果

S.Iso, H.Kawai, Y.Kitazawa: "Bilocal Fields in Noncommutative Field Theory"Nucl. Phys.. B576. 375-398 (2000)

S.Iso、H.Kawai、Y.Kitazawa：“非交换场论中的双局域”Nucl。

N.Ishibashi, S.Iso, H.Kawai, Y.Kitazawa: "Wilson Loops in Noncommutative Yang-Mills"Nucl. Phys.. B573. 573-593 (2000)

N.Ishibashi、S.Iso、H.Kawai、Y.Kitazawa：“非交换杨米尔斯中的威尔逊循环”Nucl。

H.Aoki, S.Iso, H.Kawai, Y.Kitazawa, T.Tada: "Space-Time Structures from II B Matrix Model"Prog. Theor. Phys.. 99. 713-746 (1998)

H.Aoki、S.Iso、H.Kawai、Y.Kitazawa、T.Tada：“II B 矩阵模型中的时空结构”Prog。

H.Kawai, T.Kuroki: "Strings as Flux Tube and Deconfinement on Branes in Gauge Theories"Phys. Lett.. B518. 294-300 (2001)

H.Kawai，T.Kuroki：“弦作为通量管和规范理论中膜的解除限制”物理学。

H.Aoki,S.Iso,H.Kawai,Y.Kitazawa: "Scaling Behaviors of Branched Polymers"Phys.Rev.E. E62. 6260-6269 (2000)

H.Aoki，S.Iso，H.Kawai，Y.Kitazawa：“支化聚合物的缩放行为”Phys.Rev.E。