论文标题
二次重力中重力散射的高能特性
High-energy properties of the graviton scattering in quadratic gravity
论文作者
论文摘要
我们在二次曲率的引力理论中获得了物质 - 雷维顿散射幅度，该理论在动作中具有$ r_ {μν}^2 $项。由于存在负规范状态，因此不满足单位性约束，而单位性的类似物则以$ s $ -matrix Unitarity的限制，因为在光学定理中的正常状态列出了积极的规范状态和负标准概述中的负态度。违反单位性约束是Llewellyn Smith关于树级单位性与重态度之间关系的猜想的反面例子。我们最近提出了一个新的猜想，即以$ s $ -matrix unitarity为单位的类似物给出了与重降低性的等效条件。我们表明，二次曲率的引力理论是与我们的猜想一致的非平凡例子。
We obtain the matter-graviton scattering amplitude in the gravitational theory of quadratic curvature, which has $R_{μν}^2$ term in the action. Unitarity bound is not satisfied because of the existence of negative norm states, while an analog of unitarity bound for $S$-matrix unitarity holds due to the cancelation among the positive norm states and negative norm ones in the unitarity summation in the optical theorem. The violation of unitarity bound is a counter example of Llewellyn Smith's conjecture on the relation between tree-level unitarity and renormalizability. We have recently proposed a new conjecture that an analog of the unitarity bound for $S$-matrix unitarity gives the equivalent conditions to those for renormalizability. We show that the gravitational theory of quadratic curvature is a nontrivial example consistent with our conjecture.
