论文标题

IIB型矩阵模型的数值研究中的进展

Progress in the numerical studies of the type IIB matrix model

论文作者

Anagnostopoulos, Konstantinos N., Azuma, Takehiro, Hatakeyama, Kohta, Hirasawa, Mitsuaki, Ito, Yuta, Nishimura, Jun, Papadoudis, Stratos Kovalkov, Tsuchiya, Asato

论文摘要

IIB型矩阵模型(也称为IKKT模型)已被提议作为非扰动性表述的有前途的候选者。基于此提案,已经进行了各种尝试来解释我们的四维时空如何从超音理论中动态出现。在本文中,我们回顾了有关IIB型矩阵模型的数值研究的进展。我们特别关注欧几里得和洛伦兹版本的最新结果,这些版本是使用复杂的langevin方法来克服符号问题的。我们还回顾了使用常规蒙特卡洛方法获得的早期结果,并阐明了不同计算之间的关系。

The type IIB matrix model, also known as the IKKT model, has been proposed as a promising candidate for a non-perturbative formulation of superstring theory. Based on this proposal, various attempts have been made to explain how our four-dimensional space-time can emerge dynamically from superstring theory. In this article, we review the progress in numerical studies on the type IIB matrix model. We particularly focus on the most recent results for the Euclidean and Lorentzian versions, which are obtained using the complex Langevin method to overcome the sign problem. We also review the earlier results obtained using conventional Monte Carlo methods and clarify the relationship among different calculations.

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