Comments on Lorentz Transformations, Dressed Asymptotic States and Hawking Radiation

Abstract

We consider two applications of the factorization of infrared dynamics in QED and gravity. The first is a redefinition of the Lorentz transformations that makes them commute with supertranslations. The other is the process of particle creation near a black hole horizon. For the latter we show that the emission of soft particles factors out of the S-matrix in the fixed-background approximation and to leading order in the soft limit. The factorization is implemented by dressing the incoming and outgoing asymptotic states with clouds of soft photons and soft gravitons. We find that while the soft photon cloud has no effect, the soft graviton cloud induces a phase shift in the Bogolyubov coefficients relating the incoming and outgoing modes. However, the flux of outgoing particles, given by the absolute value of the Bogolyubov coefficient, is insensitive to this phase.

arXiv comment24 pages. Version to be published by JHEP

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Cited by in corpus (24)

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• Supertranslation-Invariant Dressed Lorentz Charges
• IR dynamics and entanglement entropy
• A note on the asymptotic symmetries of electromagnetism
• Soft Photon Hair on Schwarzschild Horizon from a Wilson Line Perspective
• Hawking Flux from a Black Hole with Nonlinear Supertranslation Hair
• Supertranslation Hair of Schwarzschild Black Hole: A Wilson Line Perspective
• Asymptotic $\mathcal{O}(r)$ gauge symmetries and gauge-invariant Poincaré generators in higher spacetime dimensions
• Generalized coherent states in QCD from asymptotic symmetries
• Are quantum corrections on horizon scale physically motivated?
• $\kappa$-deformed BMS symmetry
• Are non-vacuum states much relevant for retrieving shock wave memory of spacetime?
• Super-Hawking Radiation
• Soft photon radiation and entanglement
• Asymptotic symmetries and memories of gauge theories in FLRW spacetimes
• Hawking flux of 4D Schwarzschild black hole with supertransition correction to second-order
• BMS algebras in 4 and 3 dimensions, their quantum deformations and duals
• Charges in the Extended BMS Algebra: Definitions and Applications
• Modification to the Hawking temperature of a dynamical black hole by a flow-induced supertranslation
• Shock wave quantum memory in shocked detector
• Hawking radiation of Dirac particles from soft-hairy black holes