标题： 三维O($N$)正常普适类的边界Bootstrap方法 显示英文标题

标题： Boundary bootstrap for the three-dimensional O($N$) normal universality class

摘要： 三维经典 O($N$) 模型在边界处由于发现非常规对数边界大学类对于$2\leq N< N_\text{c}$而受到新的关注。自旋关联函数的指数和临界值$N_c$与正常大学类中的某些普遍振幅有关。为了确定它们的精确值，我们重新研究了 3d O($N$) 边界共形场理论 (BCFT) 对于$N=1, 2, 3, 4, 5$。在显著提高边界播种精度后，我们的确定结果与蒙特卡罗结果高度一致，解决了由于截断阶数低而导致的先前差异。我们还利用最近的体部播种结果推导出高度准确的伊辛数据。首次获得了许多体部和边界预测。我们的结果展示了$\eta$最小化方法在许多未探索的非正播种问题中的巨大潜力。 显示英文摘要

摘要： The three-dimensional classical O($N$) model with a boundary has received renewed interest due to the discovery of the extraordinary-log boundary university class for $2\leq N< N_\text{c}$. The exponent of the spin correlator and the critical value $N_c$ are related to certain universal amplitudes in the normal universality class. To determine their precise values, we revisit the 3d O($N$) boundary conformal field theory (BCFT) for $N=1, 2, 3, 4, 5$. After substantially improving the accuracy of the boundary bootstrap, our determinations are in excellent agreement with the Monte Carlo results, resolving the previous discrepancies due to low truncation orders. We also use the recent bulk bootstrap results to derive highly accurate Ising data. Many bulk and boundary predictions are obtained for the first time. Our results demonstrate the great potential of the $\eta$ minimization method for many unexplored non-positive bootstrap problems.