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.

（1）通过对环路长度分布的测量，发现了一种新的标度律，并与理论进行了比较。(2)By通过测量世界表面的配准率，发现该表面在中心电荷大于1以上是不稳定的，正如分析理论所预测的那样。（3）对二维表面统计性质的研究表明，二维表面可分为光滑表面、粗糙表面和支化聚合物表面三类。（4）用与二维表面相似的方法测量三维和四维表面的观测量，发现了与维数无关的普适标度。（5）在发现弦磁化率的大的有限尺寸效应后，我们又用巨非正则方法计算了它，得到了与理论相符合的结果。在此基础上，我们继续研究（1）超弦和（2）耦合到U（1）规范场的四维引力。

项目成果

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。

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）。

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.Hagura, N.Tsuda, T.Yukawa: "Fractal structures of three-dimensional simplicial gravity" Nucl.Phys.B(Proc.Suppl.). 53. 766-768 (1997)

H.Hagura、N.Tsuda、T.Yukawa：“三维单纯引力的分形结构”Nucl.Phys.B（Proc.Suppl.）。