OPE空间的划分与精确的$O(2)$模型临界指数
Carving out OPE space and precise $O(2)$ model critical exponents
摘要：
我们开发了新的工具，隔离CFTs使用数值引导。一个“切割表面”的算法扫描OPE系数，使它有可能找到岛屿在高维空间。再加上最近在大规模半定规划的进展，这使得引导研究更大的系统的关联函数比以前的实际。我们将这些方法应用于电荷-0，1和2标量的关联函数的三维$O(2)$模型，计算新的精确值的标度尺寸和OPE系数在这个理论。我们新的尺度尺寸的确定是一致的，并改善现有的蒙特卡罗模拟，锐化现有的几十年之久的$8σ$理论和实验之间的差异。
英文摘要：
We develop new tools for isolating CFTs using the numerical bootstrap. A "cutting surface" algorithm for scanning OPE coefficients makes it possible to find islands in high-dimensional spaces. Together with recent progress in large-scale semidefinite programming, this enables bootstrap studies of much larger systems of correlation functions than was previously practical. We apply these methods to correlation functions of charge-0, 1, and 2 scalars in the 3d $O(2)$ model, computing new precise values for scaling dimensions and OPE coefficients in this theory. Our new determinations of scaling dimensions are consistent with and improve upon existing Monte Carlo simulations, sharpening the existing decades-old $8σ$ discrepancy between theory and experiment.
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