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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2021
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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) |
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Gauge Symmetry Scattering Amplitudes Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 |
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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 |
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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 |
_version_ |
1718407868264218624 |