Infrared-safe scattering without photon vacuum transitions and time-dependent decoherence

Abstract Scattering in 3 + 1-dimensional QED is believed to give rise to transitions between different photon vacua. We show that these transitions can be removed by taking into account off-shell modes which correspond to Liénard-Wiechert fields of asymptotic states. This makes it possible to formul...

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Autor principal: Dominik Neuenfeld
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Publicado: SpringerOpen 2021
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spelling oai:doaj.org-article:f3fa514c4e2a43e496ca4f4afca7d0ea2021-11-28T12:40:26ZInfrared-safe scattering without photon vacuum transitions and time-dependent decoherence10.1007/JHEP11(2021)1891029-8479https://doaj.org/article/f3fa514c4e2a43e496ca4f4afca7d0ea2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)189https://doaj.org/toc/1029-8479Abstract Scattering in 3 + 1-dimensional QED is believed to give rise to transitions between different photon vacua. We show that these transitions can be removed by taking into account off-shell modes which correspond to Liénard-Wiechert fields of asymptotic states. This makes it possible to formulate scattering in 3 + 1-dimensional QED on a Hilbert space which furnishes a single representation of the canonical commutation relations (CCR). Different QED selection sectors correspond to inequivalent representations of the photon CCR and are stable under the action of an IR finite, unitary S-matrix. Infrared divergences are cancelled by IR radiation. Using this formalism, we discuss the time-dependence of decoherence and phases of out-going density matrix elements in the presence of classical currents. The results demonstrate that although no information about a scattering process is stored in strictly zero-energy modes of the photon field, entanglement between charged matter and low energy modes increases over time.Dominik NeuenfeldSpringerOpenarticleGauge SymmetryScattering AmplitudesNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-26 (2021)
institution DOAJ
collection DOAJ
language EN
topic Gauge Symmetry
Scattering Amplitudes
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
spellingShingle Gauge Symmetry
Scattering Amplitudes
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
Dominik Neuenfeld
Infrared-safe scattering without photon vacuum transitions and time-dependent decoherence
description Abstract Scattering in 3 + 1-dimensional QED is believed to give rise to transitions between different photon vacua. We show that these transitions can be removed by taking into account off-shell modes which correspond to Liénard-Wiechert fields of asymptotic states. This makes it possible to formulate scattering in 3 + 1-dimensional QED on a Hilbert space which furnishes a single representation of the canonical commutation relations (CCR). Different QED selection sectors correspond to inequivalent representations of the photon CCR and are stable under the action of an IR finite, unitary S-matrix. Infrared divergences are cancelled by IR radiation. Using this formalism, we discuss the time-dependence of decoherence and phases of out-going density matrix elements in the presence of classical currents. The results demonstrate that although no information about a scattering process is stored in strictly zero-energy modes of the photon field, entanglement between charged matter and low energy modes increases over time.
format article
author Dominik Neuenfeld
author_facet Dominik Neuenfeld
author_sort Dominik Neuenfeld
title Infrared-safe scattering without photon vacuum transitions and time-dependent decoherence
title_short Infrared-safe scattering without photon vacuum transitions and time-dependent decoherence
title_full Infrared-safe scattering without photon vacuum transitions and time-dependent decoherence
title_fullStr Infrared-safe scattering without photon vacuum transitions and time-dependent decoherence
title_full_unstemmed Infrared-safe scattering without photon vacuum transitions and time-dependent decoherence
title_sort infrared-safe scattering without photon vacuum transitions and time-dependent decoherence
publisher SpringerOpen
publishDate 2021
url https://doaj.org/article/f3fa514c4e2a43e496ca4f4afca7d0ea
work_keys_str_mv AT dominikneuenfeld infraredsafescatteringwithoutphotonvacuumtransitionsandtimedependentdecoherence
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