论文标题
通过自发对称性破裂的欧几里得IKKT矩阵模型中额外尺寸的动态压缩
Dynamical Compactification of Extra Dimensions in the Euclidean IKKT Matrix Model via Spontaneous Symmetry Breaking
论文作者
论文摘要
IKKT矩阵模型已被猜想，以提供有希望的超弦理论的非扰动公式。在该模型中，时空从大N极限中的显微镜基质自由度动态出现，Lorentzian版本的Monte Carlo模拟提供了出现的证据（3+1）维度扩展时空。在这次演讲中，我们讨论了IKKT矩阵模型的欧几里得版，并通过10D旋转对称性的自发对称性破坏（SSB）提供了动态压实的证据。我们通过使用复杂的Langevin方法（CLM）对具有严重复杂动作问题的系统进行数值模拟。 CLM遭受了奇异的饮食问题，我们将模型变形以避免。当我们改变变形参数时，我们研究了SSB模式，并得出结论，原始模型具有SO（3）对称真空，与使用高斯膨胀方法（GEM）的先前计算一致。我们将GEM采用到变形模型中，并获得与CLM获得的结果一致的结果。
The IKKT matrix model has been conjectured to provide a promising nonperturbative formulation of superstring theory. In this model, spacetime emerges dynamically from the microscopic matrix degrees of freedom in the large-N limit, and Monte Carlo simulations of the Lorentzian version provide evidence of an emergent (3+1)-dimensional expanding space-time. In this talk, we discuss the Euclidean version of the IKKT matrix model and provide evidence of dynamical compactification of the extra dimensions via the spontaneous symmetry breaking (SSB) of the 10D rotational symmetry. We perform numerical simulations of a system with a severe complex action problem by using the complex Langevin method (CLM). The CLM suffers from the singular-drift problem and we deform the model in order to avoid it. We study the SSB pattern as we vary the deformation parameter and we conclude that the original model has an SO(3) symmetric vacuum, in agreement with previous calculations using the Gaussian expansion method (GEM). We employ the GEM to the deformed model and we obtain results consistent with the ones obtained by CLM.
