Study of Quantum Gravity

量子引力研究

• 批准号: 05302016
• 负责人: NINOMIYA Masao
• 金额: $ 7.49万
• 依托单位: KYOTO UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Co-operative Research (A)
• 财政年份: 1993
• 资助国家: 日本
• 起止时间: 1993 至 1995
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-05302016/
• 关键词: Quantum gravity; Two dimensional gravity; Renormaliztion group; String Theory; Quantum black hole; epsilon expansion; Unified theory; Random surface; 二展開; 弦の場の理論; 共形場の理論

In the final year of this research project there are reported numerous important achievements. Some main results are described below.1.M.Ninomiya, together with Y.Kitazawa (investigator) and H.Kawai (Professor of KEK) , constructed to study in detail a theory fo a quantum gravity in 2+epsilon dimensions by using a nonperturbative methos in quantum field theory. In 1996, it was proven by induction that the theory is renormalizable in all orders in perturbation theory. It is the first time that a consisitent quantum gravity in higer dimensions was given. The theory may be a new starting point for studing of quantum gravity. We are olanning to go ahead our study of characteristic porperties of quantum gravity and application to quantum cosmology.2.T.Eguchi published a paper on toplogical string, which attract a lot of worldwide interest.3.Y.Kazama reported an extremely important result on the study of quantum black hole.4.R.Nakayama achieved a study of nonperturbatibe construction of string field theory, whisn has been leading the study of this subject in the world.5.Y.Matsuo reproted an epoch making result on a study of W_* algebra, which plays an important role in quantum gravity and string theory.

在该研究项目的最后一年，报告了许多重要成果。主要结果如下：1.二宫先生与北泽洋（研究者）和河合先生（日本科学院教授）一起，利用量子场论中的非微扰方法，对2+ 1维量子引力理论进行了详细的研究。1996年，通过归纳证明了该理论在微扰论中的所有阶都是可重整化的。这是第一次在高维空间中给出一个相容的量子引力。该理论可能是量子引力研究的一个新的起点。2.T.Eguchi发表了一篇关于拓扑弦的论文，引起了全世界的广泛兴趣。3.Y.Kazama报道了量子黑洞研究的一个极其重要的结果。4.R.Nakayama实现了弦场论的非微扰构造研究。5.Y.Matsuo在W_* 代数的研究中取得了划时代的成果，它在量子引力和弦理论中起着重要作用。

项目成果

北沢 良久: "Quantum Gravity is Renormalizable Near Two Dimensions" Nuclear Physics. B453. 477-488 (1995)

Yoshihisa Kitazawa：“量子引力在二维附近是可重整的”核物理 B453（1995）。

中山 隆一: "Integrability of Schwinger-Dyson Equations in 2 D Quantum Gravity and C<1 Non-critical String Field Theory" Physics Letters. B354. 69-77 (1995)

Ryuichi Nakayama：“二维量子引力和 C<1 非临界弦场理论中 Schwinger-Dyson 方程的可积性”《物理快报》B354（1995）。

栗田 英資: "Exited States of the Calogero-Sutherland Model and Singular Bectors of the W_N Algebra" Nuclear Physics. B449. 347-374 (1995)

Hideshi Kurita：“Calogero-Sutherland 模型的退出状态和 W_N 代数的奇异向量”核物理 B447-374 (1995)。

川合 光,北沢 良久,二宮 正夫: "Scaling Exponents in Quantum Gravity Near Two Dimensions" Nuclear Physics. B393. 280-300 (1993)

Hikaru Kawai、Yoshihisa Kitazawa、Masao Ninomiya：“二维附近量子引力的指数”核物理 B393。

H.Awata: "Exited States of the Calogero-Sutherland Model and Singular Bectors of the W_N Algebra" Nuclear Physics. B449. 347-374 (1995)

H.Awata：“Calogero-Sutherland 模型的退出状态和 W_N 代数的奇异贝母”核物理。