论文标题
双S-Matrix引导I：2D理论
Dual S-matrix Bootstrap I: 2D Theory
论文作者
论文摘要
在优化理论中，我们为S-Matrix Bootstrap制定了双重方法，该方法由于单位性，跨散射矩阵的对称性和分析性而为2D QFT可观察物提供了严格的界限。然后，我们解释了如何以数值优化此类界限，并证明它们提供了从S-Matrix Bootstrap的通常原始公式获得的相同界限，至少从两个角度达到收敛后，至少达到了收敛。然后将这些技术应用于具有两个不同质量稳定颗粒的散布系统的研究，该系统是自举流行物理系统的玩具模型。
Using duality in optimization theory we formulate a dual approach to the S-matrix bootstrap that provides rigorous bounds to 2D QFT observables as a consequence of unitarity, crossing symmetry and analyticity of the scattering matrix. We then explain how to optimize such bounds numerically, and prove that they provide the same bounds obtained from the usual primal formulation of the S-matrix Bootstrap, at least once convergence is attained from both perspectives. These techniques are then applied to the study of a gapped system with two stable particles of different masses, which serves as a toy model for bootstrapping popular physical systems.
