Studies on Numerical Quantization of the Gravity and the String Model

引力数值量化与弦模型研究

• 批准号: 08640358
• 负责人: YUKAWA Tetsuyuki
• 金额: $ 1.22万
• 依托单位: The Graduate University for Advanced Studies
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1996
• 资助国家: 日本
• 起止时间: 1996 至 1998
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08640358/
• 关键词: quantum gravity; string theory; super string; simplicial gravity; dynamical triangulation; Monte Carlo method; 行列模型; シルト・ゲージ; フラクタル; アインシュタイン重力の量子化; String Susceptibility; ポリヤコフ弦; string susceptibility

During the period of this project we have achieved the following results : (l)From the measurement of loop-length distribution a novel scaling law was found and later compared to theory with fare agreement. (2)By measuring the registivity of the world surface the surface was found to be unstable above the central charge larger than 1 as predicted by the analytic theory.(3)Studies of the statistical property of two dimensional surface reveal that surfaces are classified into three types, namely smooth, rough and branched polymer. (4)Measuring observables for 3 and 4 dimensional surface in the similar maimer as 2 dimensional surface we found the universal scaling independent of the dimensionarity. (5)After the finding of large finite size effects in string susceptibility, we calculate it again by the grandeanonical method and obtain fare agreement with theory Based on these results we are continuing our investigation on (l)the super-string and (2)the 4D gravity coupled to the U(l) gauge field.

在该项目期间，我们达到了以下结果：（l）从循环长度分布的测量中找到了新颖的缩放定律，然后与票价一致的理论相比。 （2）通过测量世界表面的再生率，发现表面在中心电荷以上不稳定大于1的中心电荷。（3）对二维表面的统计特性的研究表明，表面被分类为三种类型，即光滑，粗糙和分支聚合物。 （4）测量与2尺寸表面相似的Maimer中3和4维表面的可观察结果，我们发现通用缩放与尺寸无关。 （5）在发现字符串敏感性中发现较大的有限尺寸效应之后，我们通过宏伟的方法再次对其进行计算，并根据这些结果获得与理论的票价一致，我们正在继续对（l）超级弦乐和（2）进行调查。 4D重力耦合到U（L）量规场。

项目成果

Egawa, Hotta, Yukawa 他: "Scaling structares in 4D simplicial gravity" Nuclear Physics (Proc. Suppl.). B53. 760- (1997)

Ekawa、Hotta、Yukawa 等人：“4D 单纯引力中的结构缩放”核物理（Proc. Suppl.）760-（1997）。

A.Fujita, N.Tsuda, T.Yukawa: "Quantum-gravity-Three states of surfaces" Int.Jour.Med.Phys.A13. 583-605 (1998)

A.Fujita、N.Tsuda、T.Yukawa：“量子引力-表面的三种状态”Int.Jour.Med.Phys.A13。

S,Oda,N.Tsuda,T.Yukawa: "Grand-canonical simulation of two-dimensional simplicial gravity" Prog.Theor.Phys.99. 875-884 (1998)

S,Oda,N.Tsuda,T.Yukawa：“二维单纯引力的大规范模拟”Prog.Theor.Phys.99。

Oda,Tsuda,Yukawa: "Two-Dimensional Dynamical Triangulation using the Grand-canonical Ensemble" Nucl.Phys.B(Proc.Suppl). 63. 733 (1998)

Oda、Tsuda、Yukawa：“使用大规范系综的二维动态三角测量”Nucl.Phys.B（Proc.Suppl）。

H.S.Egawa, N.Tsuda, T.Yukawa: "Common Structures in 2,3 and 4D Simplicial Quantum Gravity" Nucl.Phys.B (Proc.Suppl.). 63. 736-738 (1998)

H.S.Ekawa、N.Tsuda、T.Yukawa：“2,3 和 4D 单纯量子引力中的常见结构”Nucl.Phys.B（Proc.Suppl.）。