Abstract
Abstract
By following closely Weinberg’s soft theorem, which captures the 1/ω pole contribution to the amplitude for soft graviton emissions (ω < Λ) on top of an arbitrary background hard process, we calculate the expectation value of the graviton’s angular momentum operator for arbitrary collisions dressed with soft radiation. We find that the result becomes independent of the cutoff Λ on the graviton’s frequency, effectively localizing at ω = 0. In this way, our result captures the contribution to the angular momentum that comes from the zero-frequency modes. Like the soft theorem, our formula has an exact dependence on the kinematics of the hard particles and is only a function of their momenta. As an example, we discuss in some detail the case of the 2 → 2 scattering of spinless particles in General Relativity and $$ \mathcal{N} $$
N
= 8 supergravity.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Cited by
31 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献