论文标题
半线上的异常引导
Anomalous Bootstrap on the half line
论文作者
论文摘要
我们仔细研究了一半的自举问题。我们展示了为什么一个人需要通过重新审查对氢原子的先前结果来列出此刻问题的全套约束。我们还研究了连续角动量下的氢原子。我们表明，仅此时刻问题的约束并不能在所有情况下固定边界条件，并且至少需要稍微扩大一个正矩阵才能去除非物理分支。我们解释了如何解决罗宾边界条件的自举问题。通常使用的递归关系获得额外的异常贡献。这些校正对于计算措施的时刻是必要的。我们将它们应用于线性电位，并在此示例中显示基于通风函数的分析结果如何匹配分析结果。
We study carefully the problem of the bootstrap on the half line. We show why one needs the full set of constraints derived from the Stieltjes theorem on the moment problem by reexamining previous results on the hydrogen atom. We also study the hydrogen atom at continuous angular momentum. We show that the constraints on the moment problem alone do not fix the boundary conditions in all cases and at least one of the positive matrices needs to be slightly enlarged to remove unphysical branches. We explain how to solve the more general problem of the bootstrap for Robin boundary conditions. The recursion relations that are usually used receive additional anomalous contributions. These corrections are necessary to compute the moments of the measure. We apply these to the linear potential and we show how the bootstrap matches the analytical results, based on the Airy function, for this example.
