A functional approach to soft graviton scattering and BMS charges

Jordan Wilson-Gerow, Colby DeLisle, Philip Stamp
2018 Classical and quantum gravity  
We consider the interaction between a matter system and soft gravitons. We use a functional eikonal expansion to deal with the infrared divergences, and introduce a "composite generating functional" which allows us to calculate a decoherence functional for the time evolution of the system. These techniques allow us to formulate scattering problems in a way which deals consistently with infrared effects, as well as being manifestly diffeomorphism invariant. We show how the asymptotic form of the
more » ... decoherence functional can be written in terms of the infinitely many conserved charges associated with asymptotic BMS symmetries, and allow us to address the question of how much information is lost during the scattering.
doi:10.1088/1361-6382/aacfef fatcat:qppkyefs7zb4newcp75evv5qwi