标题： 可积量子场论中的逆散射与局部性 显示英文标题

标题： Inverse Scattering and Locality in Integrable Quantum Field Theories

摘要： 我们提出了一种求解二维可积相对论量子场论反散射问题的方法，该方法以给定的单粒子质量谱和因子化S-矩阵为特征。允许任意数量的粒子在任意紧致全局规范群下变换，从而推广了先前标量理论的构造。假设两粒子S-矩阵 $S$ 是满足标准性质（包括幺正性、TCP不变性和 crossing 对称性）的Yang-Baxter方程的解析解。利用算子代数和复分析的方法，我们确定了 $S$ 满足的充分条件，这些条件保证了反散射问题的解的存在。这些条件特别适用于所谓的对角S-矩阵，但预计在其他情况下也成立，例如 $O(N)$-不变的非线性 $\sigma$-模型。 显示英文摘要

摘要： We present a solution method for the inverse scattering problem for integrable two-dimensional relativistic quantum field theories, specified in terms of a given massive single particle spectrum and a factorizing S-matrix. An arbitrary number of massive particles transforming under an arbitrary compact global gauge group is allowed, thereby generalizing previous constructions of scalar theories. The two-particle S-matrix $S$ is assumed to be an analytic solution of the Yang-Baxter equation with standard properties, including unitarity, TCP invariance, and crossing symmetry. Using methods from operator algebras and complex analysis, we identify sufficient criteria on $S$ that imply the solution of the inverse scattering problem. These conditions are shown to be satisfied in particular by so-called diagonal S-matrices, but presumably also in other cases such as the $O(N)$-invariant nonlinear $\sigma$-models.