论文标题
单位化无限范围：Graviton-Graviton散射，仓库和库仑散射
Unitarizing infinite-range forces: Graviton-graviton scattering, the graviball, and Coulomb scattering
论文作者
论文摘要
我们研究了将其出生的术语单位后的部分波幅度研究的Graviton-Graviton散射。为了根据单位性和分析性应用$ S $ -MATRIX技术，我们引入了与此重新召集相关的$ S $ -MATRIX，它没有红外差异。这是通过删除Weinberg计算出的不同阶段因子来实现的，该因子乘以$ S $矩阵，这源于虚拟红外重力。具有真空量子数的标量重力 - 格拉维顿共振是在非扰动$ s $波振幅中以极点的形式获得的，这称为Gradiball。它在物理实际$ s $轴上的共振效果可能大大低于该理论的紫外线截止值，这与QCD中的$σ$共振类似。这些技术还应用于研究单位化计划中的非依赖性库仑散射到近代领先的顺序。与确切的已知解决方案的比较非常有启发性。
We study graviton-graviton scattering in partial-wave amplitudes after unitarizing their Born terms. In order to apply $S$-matrix techniques, based on unitarity and analyticity, we introduce an $S$-matrix associated to this resummation that is free of infrared divergences. This is achieved by removing the diverging phase factor calculated by Weinberg that multiplies the $S$ matrix, and that stems from the virtual infrared gravitons. A scalar graviton-graviton resonance with vacuum quantum numbers is obtained as a pole in the nonperturbative $S$-wave amplitude, which is called the graviball. Its resonant effects along the physical real $s$-axis may peak at values substantially lower than the UV cutoff squared of the theory, similarly to the $σ$ resonance in QCD. These techniques are also applied to study nonrelativistic Coulomb scattering up to next-to-leading order in the unitarization program. A comparison with the exact known solution is very illuminating.
