Kink form factors

Abstract We use a recently constructed linearized soliton sector perturbation theory to calculate the form factors relevant to the elastic scattering of ultrarelativistic mesons off of nonrelativistic kinks. Both localized kink wave packets and also delocalized momentum eigenstate kinks are consider...

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Main Author: Jarah Evslin
Format: Article
Language:English
Published: SpringerOpen 2022-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP07(2022)033
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author Jarah Evslin
author_facet Jarah Evslin
author_sort Jarah Evslin
collection DOAJ
description Abstract We use a recently constructed linearized soliton sector perturbation theory to calculate the form factors relevant to the elastic scattering of ultrarelativistic mesons off of nonrelativistic kinks. Both localized kink wave packets and also delocalized momentum eigenstate kinks are considered. In the delocalized case, the leading term is just the classical kink solution, as was found by Goldstone and Jackiw. The leading delocalized quantum correction agrees with that found by Gervais, Jevicki and Sakita in the ϕ 4 model and Weisz in the Sine-Gordon model. In the case of localized kink wave packets, some corrections are found which scale with the wave packet width, and so will be relevant for the coherent scattering of mesons off of kink wave packets.
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spelling doaj.art-0a092a95ce004916b2b756343a0321752022-12-22T01:00:03ZengSpringerOpenJournal of High Energy Physics1029-84792022-07-012022712710.1007/JHEP07(2022)033Kink form factorsJarah Evslin0Quark Matter Research Center, Institute of Modern Physics, CASAbstract We use a recently constructed linearized soliton sector perturbation theory to calculate the form factors relevant to the elastic scattering of ultrarelativistic mesons off of nonrelativistic kinks. Both localized kink wave packets and also delocalized momentum eigenstate kinks are considered. In the delocalized case, the leading term is just the classical kink solution, as was found by Goldstone and Jackiw. The leading delocalized quantum correction agrees with that found by Gervais, Jevicki and Sakita in the ϕ 4 model and Weisz in the Sine-Gordon model. In the case of localized kink wave packets, some corrections are found which scale with the wave packet width, and so will be relevant for the coherent scattering of mesons off of kink wave packets.https://doi.org/10.1007/JHEP07(2022)033Solitons Monopoles and InstantonsField Theories in Lower DimensionsScattering Amplitudes
spellingShingle Jarah Evslin
Kink form factors
Journal of High Energy Physics
Solitons Monopoles and Instantons
Field Theories in Lower Dimensions
Scattering Amplitudes
title Kink form factors
title_full Kink form factors
title_fullStr Kink form factors
title_full_unstemmed Kink form factors
title_short Kink form factors
title_sort kink form factors
topic Solitons Monopoles and Instantons
Field Theories in Lower Dimensions
Scattering Amplitudes
url https://doi.org/10.1007/JHEP07(2022)033
work_keys_str_mv AT jarahevslin kinkformfactors