非微扰弦论模型中额外维动力学紧化的Monte Carlo研究
Monte Carlo studies of dynamical compactification of extra dimensions in a model of nonperturbative string theory
摘要：
IIB矩阵模型已经被提出作为超弦理论的非微扰定义。在这项工作中，我们研究了这个模型的欧几里德版本，其中额外的维度可以动态紧化，如果自发打破SO（10）旋转对称性的情况下实现。由于费米子积分后出现的费米子复相位的大起伏，欧几里德IIB矩阵模型的Monte Carlo计算受到非常强的复作用量问题的困扰。我们采用因子分解方法，以实现有效的采样。我们报告的初步结果，可以与以前的研究相比，使用高斯展开法的旋转对称性击穿。
英文摘要：
The IIB matrix model has been proposed as a non-perturbative definition of superstring theory. In this work, we study the Euclidean version of this model in which extra dimensions can be dynamically compactified if a scenario of spontaneously breaking the SO(10) rotational symmetry is realized. Monte Carlo calculations of the Euclidean IIB matrix model suffer from a very strong complex action problem due to the large fluctuations of the complex phase of the Pfaffian which appears after integrating out the fermions. We employ the factorization method in order to achieve effective sampling. We report on preliminary results that can be compared with previous studies of the rotational symmetry breakdown using the Gaussian expansion method.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
