论文标题
超忠实重力散射的普遍性
Universality of ultra-relativistic gravitational scattering
论文作者
论文摘要
我们讨论了两个环（下午3点）水平的两个巨大颗粒的超相关重力散射。我们发现，在此限制下，确定偏转角的真实部分对于两个衍生近似中的重力理论是通用的。这意味着，无论超对称性的数量或探针的性质如何，该结果都与自八十年代后期的Amati，Ciafaloni和Veneziano讨论的无质量案例平稳联系。我们通过使用完整软区域的积分的结果来明确评估4点2循环振幅，从而通过使用散射幅度的分析性和交叉特性来分析问题。第一种方法表明，我们感兴趣的可观察到的可观察到的不弹性树一级振幅确定，这些振幅描述了上述通用性属性的高能量双向限制中重力的发射。第二种方法强烈表明，整个软区域的包含是在3pm级别恢复超相对论的有限和普遍性的必要（并且可能足够）的成分。我们猜想，这种普遍性在PM扩展中的所有顺序都持续存在。
We discuss the ultra-relativistic gravitational scattering of two massive particles at two-loop (3PM) level. We find that in this limit the real part of the eikonal, determining the deflection angle, is universal for gravitational theories in the two derivative approximation. This means that, regardless of the number of supersymmetries or the nature of the probes, the result connects smoothly with the massless case discussed since the late eighties by Amati, Ciafaloni and Veneziano. We analyse the problem both by using the analyticity and crossing properties of the scattering amplitudes and, in the case of the maximally supersymmetric theory, by explicit evaluation of the 4-point 2-loop amplitude using the results for the integrals in the full soft region. The first approach shows that the observable we are interested in is determined by the inelastic tree-level amplitude describing the emission of a graviton in the high-energy double-Regge limit, which is the origin of the universality property mentioned above. The second approach strongly suggests that the inclusion of the whole soft region is a necessary (and possibly sufficient) ingredient for recovering ultra relativistic finiteness and universality at the 3PM level. We conjecture that this universality persists at all orders in the PM expansion.
