A new method for probing the late-time dynamics in the Lorentzian type IIB matrix model
A new method for probing the late-time dynamics in the Lorentzian type IIB matrix model
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DOI：
10.1093/ptep/ptx106
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发表时间：
2017-08-01
影响因子：
3.5
通讯作者：
Tsuchiya, Asato
中科院分区：
文献类型：
--
作者：
Azuma, Takehiro;Ito, Yuta;Tsuchiya, Asato
IIB型矩阵模型被认为是超弦理论的一种可能的非微扰形式。特别是，它被发现通过Monte Carlo模拟的洛伦兹版本的空间矩阵的9D旋转对称性自发地打破了一些“临界时间”后的3D之一。在本文中，我们发展了一种新的模拟方法的基础上的有效性理论的子矩阵对应的后期的时间。使用这种方法，可以通过模拟大小为O（root N）的矩阵来获得N x N矩阵的结果。我们证实了这种方法的有效性，并证明其在简化模型的实用性。
The type IIB matrix model has been investigated as a possible nonperturbative formulation of superstring theory. In particular, it was found by Monte Carlo simulation of the Lorentzian version that the 9D rotational symmetry of the spatial matrices is broken spontaneously to the 3D one after some "critical time". In this paper we develop a new simulation method based on the effective theory for the submatrices corresponding to the late time. Using this method, one can obtain the results for N x N matrices by simulating matrices typically of the size O(root N). We confirm the validity of this method and demonstrate its usefulness in simplified models.