标题： 模糊球体的尺寸和形状来自矩阵/膜对应关系 显示英文标题

标题： Size and Shape of Fuzzy Spheres from Matrix/Membrane Correspondence

摘要： 我们研究了在横截平面上投影时基态模糊球的尺寸和形状统计特性，利用了D=(1+3)维时空中的正则化SU(N=2)矩阵模型。 我们证明了它们表现为椭圆，从矩阵/膜对应关系中得出。 通过我们对基态波函数的数值和解析近似，我们提供了它们期望表面积、周长、偏心率和形状参数的估计值。 这些量子膜的几何常数与经典力学有显著差异。 显示英文摘要

摘要： We study the size and shape statistics of ground state fuzzy spheres when projected onto the transverse plane, utilizing the regularized SU(N=2) matrix model in D=(1+3)-dimensional spacetime. We show that they appear as ellipses, from matrix/membrane correspondence. With our numerical and analytical approximation for the ground state wavefunction, we provide estimations for their expected surface areas, perimeters, eccentricities, and shape-parameters. These geometric constants of quantum membranes deviate drastically from classical mechanics.