Research of superstring theories in terms of matrix model and various branes

从矩阵模型和各种膜角度研究超弦理论

• 批准号: 13135223
• 负责人: GHOROKU Kazuo
• 金额: $ 5.18万
• 依托单位: Fukuoka Institute of Technology
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research on Priority Areas
• 财政年份: 2001
• 资助国家: 日本
• 起止时间: 2001 至 2006
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-13135223/
• 关键词: Superstring Theories; extra dimension; matrix; brane; Perturbative Study; Lattice Gauge Theories; RSブレイン; 余次元; 構成的定式化; 量子論

In this project the head investigator K. Ghoroku together with his collaborators applied D-brane model based on type IIB super-string theory to finite temperature Yang Mills theory, which is deformed by introducing quarks and gauge field condensate, and examined in terms of the AdS/CFT correspondence. Then he found the restored chiral symmetry, Gell-Mann-Oakes-Renner relation, and the temperature dependence of the meson mass. The author applied this model also to the gauge theory with quarks in the dS4 and AdS4 space-time, and meson mass spectra and possible phase transitions are investigatedT. Tada constructed Type IIB matrix theory that is nonpertubative and constructive formulation of superstring theories, together with other members of the project.M. Hayakawa studied lattice regularization for the quantum theory in the curved space-time, and tried a lattice simulation to obtain a mass-less boson in 2d super-symmetric model. Then, higher order correction of the electron g-factor is shown by him.A. Sugamoto showed a detailed structure of the potential between flavor quarks by using string theory with his collaborators.K. Seo has been trying to make clear non-perturbative properties of QCD.

在这个项目中，首席研究员K。Ghoroku和他的合作者将基于IIB型超弦理论的D膜模型应用于有限温度杨米尔斯理论，通过引入夸克和规范场凝聚来变形，并根据AdS/CFT对应进行检验。然后，他发现了恢复的手征对称性，盖尔曼-奥克斯-伦纳关系，以及介子质量的温度依赖性。作者还把这个模型应用到dS 4和AdS 4时空中夸克的规范理论中，研究了介子的质量谱和可能的相变。多田和该项目的其他成员一起构建了IIB型矩阵理论，这是超弦理论的非微扰和建设性表述。Hayakawa研究了弯曲时空中量子理论的晶格正则化，并尝试在二维超对称模型中用晶格模拟得到无质量玻色子。然后，他给出了电子g因子的高阶修正。Sugamoto和他的合作者用弦理论展示了味夸克之间势能的详细结构。Seo一直试图弄清楚QCD的非微扰性质。

项目成果

Perturbative dynamics of matrix string for the membrane

膜矩阵串的微扰动力学

• 发表时间: 2004
• 期刊: JHEP 0404
• 作者: M.Hayakawa;N.Ishibashi
• 通讯作者: N.Ishibashi

Kazuo Ghoroku: "Massive vector trapping as a gauge boson on a brane"Physical Review D15, Mar., 2002, to be published. (2002)

Kazuo Ghoroku：“膜上作为规范玻色子的大规模矢量捕获”《物理评论 D15》，2002 年 3 月，即将出版。

Radius stabilization and brane running in the Randall-Sundrum type I model

Randall-Sundrum I 型模型中的半径稳定和膜运行

• 发表时间: 2004
• 期刊: Physical Review D 70
• 作者: I.Brevik;K.Ghoroku;M.Yahiro
• 通讯作者: M.Yahiro

I.Brevik, K.Ghoroku, S.Odintsov, M.Yahiro: "Localization of gravity on a brane embedded in Ads_5 and dS_5"Physical Review. D66. 064016-1-064016-9 (2002)

I.Brevik、K.Ghoroku、S.Odintsov、M.Yahiro：“Ads_5 和 dS_5 中嵌入的膜上的重力定位”物理评论。

K.Ghoroku, M.Yahiro: "Origin of a small cosmological constant in a brane world"Physical Review. D66. 124020-1-124020-6 (2002)

K.Ghoroku，M.Yahiro：“膜世界中小宇宙常数的起源”物理评论。