标题： 散射振幅的世界线几何结构 显示英文标题

标题： Worldline geometries for scattering amplitudes

摘要： 本文中，我们为无穷和半无穷标量世界线构建了路径积分。 我们证明，在渐近端点处，可以通过在无穷远处插入顶点算符来生成物理态。 此过程自动实现了LSZ约化，从而导致散射振幅的直接世界线表示。 为了得到它，我们引入了广义顶点算符，这些算符可以看作是将整个树子图粘接到给定世界线上的。 我们证明，这些子图本身通过递归关系由半无限线上相关函数给出。 从这个意义上讲，我们的方法完全是第一类量子化的，因为它不需要任何场论量作为输入。 我们设想，当适当地推广到规范理论时，这种方法可能有助于解决当前的研究问题，例如颜色-动力学对偶性。 显示英文摘要

摘要： In this paper, we construct the path integral for infinite and semi-infinite scalar worldlines. We show that, at the asymptotic endpoints, on-shell physical states can be generated by inserting vertex operators at infinity. This procedure implements automatically the LSZ reduction, thus leading to a direct worldline representation of scattering amplitudes. To obtain it, we introduce generalized vertex operators, to be viewed as the gluing of entire tree subdiagrams to a given worldline. We demonstrate that the subdiagrams themselves are given, via a recursive relation, by correlation functions on the semi-infinite line. In this sense, the approach we take is fully first-quantized, in that it does not need any field theoretic quantity as input. We envisage that, when suitably extended to gauge theories, it could provide useful insights in addressing current research issues, such as color-kinematics duality.