标题： 来自规范/引力对偶的Reggeon交换 显示英文标题

标题： Reggeon exchange from gauge/gravity duality

摘要： 我们在紧致背景下的规范/引力对应框架中，分析介子-介子散射中的夸克-反夸克Reggeon交换。 在规范理论方面，Reggeon交换被描述为快速投射物之间的t通道中的夸克-反夸克交换。 相应的振幅是通过沿组成夸克和反夸克轨迹运行的威尔逊环来表示的。 交换费米子的路径被积分，而“旁观者”费米子则通过eikonal近似处理。 在引力方面，我们遵循一种之前提出的方案，并通过利用一般紧致规范理论的规范/引力对偶性来评估威尔逊环期望值。 通过确定紧致视界附近的一个欧几里得“带有浮动边界的有效面积”，即通过最小化过程固定交换夸克和反夸克的轨迹，从而在鞍点近似下得到振幅，该最小化过程涉及面积和长度项。 在讨论了一个涉及带有浮动边界的肥皂膜的简单问题作为热身练习后，我们解决了与Reggeon交换相关的变分问题，其中基本几何结构是螺旋面。 然后通过从欧几里得到闵可夫斯基时空的解析延拓，得到了一个包含小费米子质量效应的Reggeon交换振幅的简洁表达式。 我们特别发现了一个线性Regge轨迹，对应于由非零夸克质量引起的对数切口补充的Regge极点奇异性。 解析延拓还导致了伴随贡献，这些贡献对应于相同Reggeon交换振幅与碰撞介子之间多次弹性再散射相互作用的卷积。 显示英文摘要

摘要： We perform the analysis of quark-antiquark Reggeon exchange in meson-meson scattering, in the framework of the gauge/gravity correspondence in a confining background. On the gauge theory side, Reggeon exchange is described as quark-antiquark exchange in the t channel between fast projectiles. The corresponding amplitude is represented in terms of Wilson loops running along the trajectories of the constituent quarks and antiquarks. The paths of the exchanged fermions are integrated over, while the "spectator" fermions are dealt with in an eikonal approximation. On the gravity side, we follow a previously proposed approach, and we evaluate the Wilson-loop expectation value by making use of gauge/gravity duality for a generic confining gauge theory. The amplitude is obtained in a saddle-point approximation through the determination near the confining horizon of a Euclidean "minimal surface with floating boundaries", i.e., by fixing the trajectories of the exchanged quark and antiquark by means of a minimisation procedure, which involves both area and length terms. After discussing, as a warm-up exercise, a simpler problem on a plane involving a soap film with floating boundaries, we solve the variational problem relevant to Reggeon exchange, in which the basic geometry is that of a helicoid. A compact expression for the Reggeon-exchange amplitude, including the effects of a small fermion mass, is then obtained through analytic continuation from Euclidean to Minkowski space-time. We find in particular a linear Regge trajectory, corresponding to a Regge-pole singularity supplemented by a logarithmic cut induced by the non-zero quark mass. The analytic continuation leads also to companion contributions, corresponding to the convolution of the same Reggeon-exchange amplitude with multiple elastic rescattering interactions between the colliding mesons.