Infrared Divergences and the Eikonal Exponentiation
Abstract
The aim of this note is to explore the interplay between the eikonal resummation in impact-parameter space and the exponentiation of infrared divergences in momentum space for gravity amplitudes describing collisions of massive objects. The eikonal governs the classical dynamics relevant to the two-body problem, and its infrared properties are directly linked to the zero-frequency limit of the gravitational wave emission spectrum and to radiation-reaction effects. Combining eikonal and infrared exponentiations it is possible to derive these properties at a given loop order starting from lower-loop data. This is illustrated explicitly in supergravity and in general relativity by deriving the divergent part of the two-loop eikonal from tree-level and one-loop elastic amplitudes.
Keywords
Cite
@article{arxiv.2105.04594,
title = {Infrared Divergences and the Eikonal Exponentiation},
author = {Carlo Heissenberg},
journal= {arXiv preprint arXiv:2105.04594},
year = {2021}
}
Comments
22 pages, 3 figures. v2: References updated, published in Phys. Rev. D