Free Nonperturbative effects in quantum gravity and string theory

量子引力和弦理论中的自由非微扰效应

• 批准号: 06640420
• 负责人: KAWAI Hikaru
• 金额: $ 1.02万
• 依托单位: NATIONAL LABORATORY FOR HIGH ENERGY PHYSICS
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1994
• 资助国家: 日本
• 起止时间: 1994 至 1995
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-06640420/
• 关键词: String theory; quantum gravity; constructive; complex structure of the wordsheet; 2+epsilon dimensional gravity; string field; nonpertubative effects in string theory; operator product expansion in quantum gravity; 非摂動効果; ストリングの場; 真空の構造; ダイナミカル

It is important to make constructive definitions of quantum gravity and the string thory in such a way that various physical quantities can be obtained at least by nemerical calaulations. As basic steps in this direction we performed the following projects :1.In order to construct a local field theory which represeuts the string theory, we proved numerically that the complex structure can be introdnced on a discretized worldsheet comesponding to C*1 matrix models.2.We developed a systeratic method for epsilon-expansion in 2+epsilon dimensional quantum gravity.3.The string field theory was developed further and formulated in a back-ground indeperdent way.4.The short distance behavor of space-time fluctuations was investigated by considering on operator product expansion in quantum gravity.

重要的是对量子引力和弦理论做出建设性的定义，以便至少可以通过数值计算获得各种物理量。作为这个方向的基本步骤，我们进行了以下项目：1.为了构建代表弦理论的局域场论，我们从数值上证明了可以将复杂结构引入到对应于C*1矩阵模型的离散世界表上。2.我们开发了2+epsilon维量子引力中epsilon展开的系统方法。3.在背景下进一步发展并制定了弦场论。 4.考虑量子引力算子乘积展开，研究了时空涨落的短距离行为。

项目成果

M. Ikehara, N. Ishibashi, H. Kawai, T. Mogami, R. Nakayama, N. Sasakura: "A Note on String Field theory in the Temporirl Gauge" Progress of Theoretical Physics Supplement. 118. 241-257 (1995)

M. Ikehara、N. Ishibashi、H. Kawai、T. Mogami、R. Nakayama、N. Sasakura：“关于时间规范中弦场理论的注释”理论物理进展补充。

M.Ikehara, N.Ishibashi, H.Kawai, T.Mogami, R.Nakayama and N.Sasakura: "A Note on String Field in the Temporal Gauge" Progress of Theovetical PHYSICS Supplement. 118. 241-257 (1995)

M.Ikehara、N.Ishibashi、H.Kawai、T.Mogami、R.Nakayama 和 N.Sasakura：“关于时间规范中弦场的注释”理论物理学进展补充。

N. Ishibashi, H. Kawai: "A background independent formulation of nonsritical string theory" Physics Letters B. 352. 75-82 (1995)

N. Ishibashi、H. Kawai：“非批判性弦理论的背景独立表述”《物理快报》B. 352. 75-82 (1995)

H.Kawai, N.Tsuda and T.Yukawa: "Complex structures defined on dyuamically triangulated surfaces" Physics Letlns B. 351. 162-168 (1995)

H.Kawai、N.Tsuda 和 T.Yukawa：“在动态三角表面上定义的复杂结构”Physics Letlns B. 351. 162-168 (1995)

T.Aida,Y.Kitazawa,H.Kawai,M.Ninomiya: "Conformal invarlancl and veuormalization group in quantuw grcvity" Nucl.Phys.B. 427. 158-180 (1994)

T.Aida，Y.Kitazawa，H.Kawai，M.Ninomiya：“量子引力中的保形不变性和向量化群”Nucl.Phys.B。