论文标题
S-Matrix Bootstrap的选择规则
Selection rules for the S-Matrix bootstrap
论文作者
论文摘要
我们使用最近复活的（数值）S-Matrix Bootstrap程序来检查Adler Zeros平面上允许的S-膜的空间。研究了两个物理量，一个平均的总散射横截面以及边界S-膜的平均纠缠能力。领先的Regge轨迹中的新兴线性与这两个量的减少相关。我们确定了两个潜在的可行区域，其中S型与低能S和P波散射长度具有体面的一致性，并具有与实验相兼容的领先型轨迹。我们还研究了Adler Zeros平面中最小平均横截面的最小平均线。 Lovelace-Shapiro模型是现代弦理论的前体，它是由Adler Zeros平面中的一条直线给出的，非常值得注意的是，我们发现这条线与这两个区域附近允许的S-矩阵的空间相交。
We examine the space of allowed S-matrices on the Adler zeros' plane using the recently resurrected (numerical) S-matrix bootstrap program for pion scattering. Two physical quantities, an averaged total scattering cross-section, and an averaged entanglement power for the boundary S-matrices, are studied. Emerging linearity in the leading Regge trajectory is correlated with a reduction in both these quantities. We identify two potentially viable regions where the S-matrices give decent agreement with low energy S- and P-wave scattering lengths and have leading Regge trajectory compatible with experiments. We also study the line of minimum averaged total cross section in the Adler zeros' plane. The Lovelace-Shapiro model, which was a precursor to modern string theory, is given by a straight line in the Adler zeros' plane and, quite remarkably, we find that this line intersects the space of allowed S-matrices near both these regions.
