标题： 五维引力理论中的对称性、自旋-2散射振幅和等效定理 显示英文标题

标题： Symmetries, Spin-2 Scattering Amplitudes, and Equivalence theorems in Warped Five-Dimensional Gravitational Theories

摘要： 借鉴Hang和He的工作，我们展示了如何通过五维引力理论的紧致化（具有扭曲额外维度）中的残余五维微分同胚对称性推导出等价定理，这些等价定理确保自旋为2的Kaluza-Klein态的零螺旋度和一螺旋度散射振幅等于（在散射能量的主阶上）在`t-Hooft-Feynman规范下对应的Goldstone玻色子的散射振幅。 我们推导了一组Ward恒等式，这些恒等式导致了涉及自旋2的Kaluza-Klein态散射振幅的透明幂次计数。 我们在Randall-Sundrum模型中用Goldstone玻色子显式计算了这些振幅，验证了与先前单位规范计算的一致性，并证明了`t-Hooft-Feynman规范在准确计算自旋2态之间以及与物质之间的散射振幅方面的有效性。 对于Goldstone玻色子相互作用的幂次计数表明，散射振幅的增长速度不超过$O(s)$，这解释了在单位规范中这些散射振幅的不同贡献之间复杂的抵消行为所导致的行为的起源。 我们描述了我们的结果如何适用于更一般的扭曲几何，包括具有稳定额外维度的模型。 在附录中，我们明确指出了Randall-Sundrum额外维度理论的残余五维微分同胚的对称代数。 显示英文摘要

摘要： Building on work by Hang and He, we show how the residual five-dimensional diffeomorphism symmetries of compactified gravitational theories with a warped extra dimension imply Equivalence theorems which ensure that the scattering amplitudes of helicity-0 and helicity-1 spin-2 Kaluza-Klein states equal (to leading order in scattering energy) those of the corresponding Goldstone bosons present in the `t-Hooft-Feynman gauge. We derive a set of Ward identities that lead to a transparent power-counting of the scattering amplitudes involving spin-2 Kaluza-Klein states. We explicitly calculate these amplitudes in terms of the Goldstone bosons in the Randall-Sundrum model, check the correspondence to previous unitary-gauge computations, and demonstrate the efficacy of `t-Hooft-Feynman gauge for accurately computing amplitudes for scattering of the spin-2 states both among themselves and with matter. Power-counting for the Goldstone boson interactions establishes that the scattering amplitudes grow no faster than $O(s)$, explaining the origin of the behavior previously shown to arise from intricate cancellations between different contributions to these scattering amplitudes in unitary gauge. We describe how our results apply to more general warped geometries, including models with a stabilized extra dimension. In an appendix we explicitly identify the symmetry algebra of the residual 5D diffeomorphisms of a Randall-Sundrum extra-dimensional theory.