Improved Perturbation Theory and Four-Dimensional Space-Time in the IIB Matrix Model
Improved Perturbation Theory and Four-Dimensional Space-Time in the IIB Matrix Model
复制标题
IIB矩阵模型中改进的微扰理论和四维时空
DOI：
10.1143/ptp.109.115
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发表时间：
2002
影响因子：
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通讯作者：
S. Shinohara
中科院分区：
文献类型：
--
作者：
Hikaru Kawai;S. Kawamoto;T. Kuroki;S. Shinohara
我们在改进的平均场近似（IMFA）的基础上分析了IIB矩阵模型，得到了四维时空表现为最稳定真空的证据。该方法是一种获得改进扰动序列的系统方法，由Nishimura和Sugino首先应用于IIB矩阵模型。在之前的一篇文章中，我们重新表述了这种方法，并提出了改进级数收敛的判据，即“平台”的出现。在本文中，我们进行了高阶计算，发现我们改进的自由能趋于平稳，这表明IMFA在IIB矩阵模型中工作得很好。
We have analyzed the IIB matrix model on the basis of the improved mean field approximation (IMFA) and have obtained evidence suggesting that the four-dimensional space-time appears as its most stable vacuum. This method is a systematic way to obtain an improved perturbation series and was first applied to the IIB matrix model by Nishimura and Sugino. In a previous paper, we reformulated this method and proposed a criterion for the convergence of the improved series, that is, the appearance of a “plateau”. In this paper, we carry out higher-order calculations, and find that our improved free energy tends to have a plateau, which shows that IMFA works well in the IIB matrix model.