A functional approach to soft graviton scattering and BMS charges
arXiv:1808.01372 · doi:10.1088/1361-6382/aacfef
Abstract
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 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.
arXiv comment20 pages, 4 figures
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- A Gallery of Soft Modes: Theory and Experiment at a Ferromagnetic Quantum Phase Transition
- Partitioned Density Matrices and Entanglement Correlators
- Soft Theorems from Boundary Terms in the Classical Point Particle Currents
- Gauge Invariant Propagators and States in Quantum Electrodynamics