论文标题
spin-2 kaluza-klein散射在稳定的翘曲背景下
Spin-2 Kaluza-Klein Scattering in a Stabilized Warped Background
论文作者
论文摘要
涉及大量自旋2颗粒的散射幅度通常会随着能量而迅速生长。在本文中,我们证明了散射幅度的异常高能生长抵消了由稳定的扭曲几何形状中压实的五维重力产生的巨大旋转2 kaluza-klein模式。概括先前的工作,我们表明,这两个总规则可以强制实施对散射幅度的贡献之间的取消,来自(巨大的)辐射的交换与戈德伯格塔的交换的交换的贡献幅度(理论的原始引力和标量)的范围仍然存在于沃克的情况下,这些范围仍然存在于沃克的情况下,这些量表仍然存在于范围内。 Randall-Sundrum模型。我们提供了这些广义标量总和的一种组合的分析证明,并显示总和规则如何取决于爱因斯坦方程,以确定背景几何形状以及物理标量状态塔的模式 - 方程式和归一化。最后,我们提供了控制物理标量模式的方程式的一致和独立的推导,我们在附录中列出了一组总和规则,确保了所有$ 2 \ 2 $ 2 $ spine-spin-2散射振幅的适当高能增长。
Scattering amplitudes involving massive spin-2 particles typically grow rapidly with energy. In this paper we demonstrate that the anomalous high-energy growth of the scattering amplitudes cancel for the massive spin-2 Kaluza-Klein modes arising from compactified five-dimensional gravity in a stabilized warped geometry. Generalizing previous work, we show that the two sum rules which enforce the cancellations between the contributions to the scattering amplitudes coming from the exchange of the (massive) radion and those from the exchange of the tower of Goldberger-Wise scalar states (admixtures of the original gravitational and scalar fields of the theory) still persist in the case of the warping which would be required to produce the hierarchy between the weak and Planck scales in a Randall-Sundrum model. We provide an analytic proof of one combination of these generalized scalar sum rules, and show how the sum rule depends on the Einstein equations determining the background geometry and the mode-equations and normalization of the tower of physical scalar states. Finally, we provide a consistent and self-contained derivation of the equations governing the physical scalar modes and we list, in appendices, the full set of sum rules ensuring proper high-energy growth of all $2 \to 2$ massive spin-2 scattering amplitudes.