We propose the gauge theory bootstrap, a method to compute the pion 𝑆 matrix that describes the low-energy physics of the strong interaction and other similar gauge theories. The phase shifts of the 𝑆⁢0, 𝑃⁢1, and 𝑆⁢2 waves obtained are in good agreement with experimental results. The only numerical inputs are the quark mass 𝑚𝑞, the QCD scale ΛQCD, the pion mass 𝑚𝜋, and the pion decay constant 𝑓𝜋 without any other experimental data. We make use of the form-factor bootstrap recently proposed by Karateev, Kuhn, and Penedones together with a finite energy version of the Shifman-Veinshtein-Zakharov sum rules.

中文翻译：

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 规范理论 Bootstrap


我们提出了规范论 bootstrap，一种计算 π S 矩阵的方法，它描述了强相互作用的低能物理学和其他类似的规范理论。获得的 S0 、 P1 和 S2 波的相移与实验结果非常吻合。唯一的数字输入是夸克质量 mq、QCD 标度 ΛQCD、π 质量 mπ 和 π 衰变常数 fπ，没有任何其他实验数据。我们利用了 Karateev、Kuhn 和 Penedones 最近提出的形状因子引导法以及 Shifman-Veinshtein-Zakharov 和规则的有限能量版本。