Memory and the infrared

Abstract Memory effects in scattering processes are described in terms of the asymptotic retarded fields. These fields are completely determined by the scattering data and the zero mode part is set by the soft photon theorem. The dressed asymptotic states defining an infrared finite S-matrix for cha...

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Main Authors: Cesar Gomez, Raoul Letschka
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP10(2017)010
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author Cesar Gomez
Raoul Letschka
author_facet Cesar Gomez
Raoul Letschka
author_sort Cesar Gomez
collection DOAJ
description Abstract Memory effects in scattering processes are described in terms of the asymptotic retarded fields. These fields are completely determined by the scattering data and the zero mode part is set by the soft photon theorem. The dressed asymptotic states defining an infrared finite S-matrix for charged particles can be defined as quantum coherent states using the corpuscular resolution of the asymptotic retarded fields. Imposing that the net radiated energy in the scattering is zero leads to the new set of conservation laws for the scattering S-matrix which are equivalent to the decoupling of the soft modes. The actual observability of the memory requires a non-vanishing radiated energy and could be described using the infrared part of the differential cross section that only depends on the scattering data and the radiated energy. This is the IR safe cross section with any number of emitted photons carrying total energy equal to the energy involved in the actual memory detection.
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spelling doaj.art-fdfe1165b88a4f08a77d48a3258d6eb12022-12-21T22:44:51ZengSpringerOpenJournal of High Energy Physics1029-84792017-10-0120171011210.1007/JHEP10(2017)010Memory and the infraredCesar Gomez0Raoul Letschka1Arnold Sommerfeld Center for Theoretical Physics, Department für Physik, Ludwig-Maximilians-Universität MünchenInstituto de Física Teórica UAM-CSIC, C-XVI, Universidad Autónoma de MadridAbstract Memory effects in scattering processes are described in terms of the asymptotic retarded fields. These fields are completely determined by the scattering data and the zero mode part is set by the soft photon theorem. The dressed asymptotic states defining an infrared finite S-matrix for charged particles can be defined as quantum coherent states using the corpuscular resolution of the asymptotic retarded fields. Imposing that the net radiated energy in the scattering is zero leads to the new set of conservation laws for the scattering S-matrix which are equivalent to the decoupling of the soft modes. The actual observability of the memory requires a non-vanishing radiated energy and could be described using the infrared part of the differential cross section that only depends on the scattering data and the radiated energy. This is the IR safe cross section with any number of emitted photons carrying total energy equal to the energy involved in the actual memory detection.http://link.springer.com/article/10.1007/JHEP10(2017)010Scattering AmplitudesBlack Holes
spellingShingle Cesar Gomez
Raoul Letschka
Memory and the infrared
Journal of High Energy Physics
Scattering Amplitudes
Black Holes
title Memory and the infrared
title_full Memory and the infrared
title_fullStr Memory and the infrared
title_full_unstemmed Memory and the infrared
title_short Memory and the infrared
title_sort memory and the infrared
topic Scattering Amplitudes
Black Holes
url http://link.springer.com/article/10.1007/JHEP10(2017)010
work_keys_str_mv AT cesargomez memoryandtheinfrared
AT raoulletschka memoryandtheinfrared