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A functional approach to soft graviton scattering and BMS charges. (English) Zbl 1409.83072

Summary: 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.

MSC:

83C45 Quantization of the gravitational field
81P40 Quantum coherence, entanglement, quantum correlations
81P45 Quantum information, communication, networks (quantum-theoretic aspects)
81U20 \(S\)-matrix theory, etc. in quantum theory
83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
83C40 Gravitational energy and conservation laws; groups of motions
83C57 Black holes
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