发表机构
Ariel University（阿里尔大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出高能引力中Reggeized引力子的Lipatov型有效作用量，以有序指数$W_{ij}$构造有效流，重现微扰结果并添加新项，其携带剪切与聚焦，为引力有效理论提供新形式。
AI 中文摘要
我们推导了Reggeized引力子的Lipatov型有效作用量。不同于通过微分同胚不变性逐阶构造有效流的方法，我们提出了一种流，它是沿光锥的单个有序指数$W_{ij}$，由光学潮汐矩阵积分一次生成。其嵌套有序性重现了已知的微扰结果，并添加了一些新项。这些新项沿光锥是非局域的，其结构是微分同胚构造无法产生的，我们还计算了三阶流的形式。有效作用量、流到Reggeon顶点以及流到流相互作用以闭合形式给出，有三种等价写法，其中一种是协变的。一般定义的$W_{ij}$约化为光线束的四个参数：其密度、剪切、剪切方向以及图像的旋转。有效流使用了其中三个参数，作为单个标量的第二光锥导数，它对方向不敏感。与标准的eikonal引力Wilson线（即相位）相比，$W_{ij}$是同一eikonal的Hessian：它携带了阿贝尔相位所不具有的剪切和聚焦，并且在场的首阶上是同余的Jacobi传播子的逆。我们讨论了对所提出的有序算子的推广以及引力有效作用量的应用。
英文摘要
We derive a Lipatov type effective action for the Reggeized gravitons. In place of the order by order construction of the effective currents from diffeomorphism invariance, we propose a current which is a single ordered exponential $W_{ij}$ along the light cone, generated by the optical tidal matrix integrated once. The nested ordering of it reproduces the known perturbative answer with some new terms added. These new terms are non-local along the light cone and have a structure which the diffeomorphism construction cannot produce, the form of the third order contribution to the current is also calculated. The effective action, the current to Reggeon vertex and the current to current interaction are obtained in closed form, in three equivalent writings, one of them covariant. Generally defined $W_{ij}$ reduces to four parameters of the ray bundle, its density, its shear, the orientation of the shear and a rotation of the image. The effective current uses three of them, being the second light cone derivative of a single scalar, it is not sensitive to the orientation. Comparing with the standard eikonal gravitational Wilson line, which is the phase, $W_{ij}$ is the Hessian of the same eikonal: it carries the shear and the focusing that the Abelian phase does not, and it is inverse to the Jacobi propagator of the congruence at first order in the field. A generalization of the proposed ordered operator is discussed as well as applications of the gravitational effective action.
Comments30 pages
