Highly-enhanced propagation of long-range kinks in heterogeneous media
Abstract We investigate a field-theoretical model that describes the interaction between kinks and antikinks and between kinks and other heterogeneous fields and impurities. We show that the long-range kink can tunnel through a barrier created by heterogeneous fields and impurities even when the ene...
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Format: | Article |
Language: | English |
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SpringerOpen
2024-10-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP10(2024)042 |
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author | Jorge A. González Alberto Bellorín Luis E. Guerrero Salvador Jiménez Juan F. Marín |
author_facet | Jorge A. González Alberto Bellorín Luis E. Guerrero Salvador Jiménez Juan F. Marín |
author_sort | Jorge A. González |
collection | DOAJ |
description | Abstract We investigate a field-theoretical model that describes the interaction between kinks and antikinks and between kinks and other heterogeneous fields and impurities. We show that the long-range kink can tunnel through a barrier created by heterogeneous fields and impurities even when the energy of the center of mass of the kink is less than the height of the energy barrier. We also study the conditions under which the kink can pass freely through a disordered medium. We introduce the concept of “effective translational symmetry”. We compare our results with those from recent papers published in this journal, where the Bogomol’nyi-Prasad-Sommerfield property is discussed. |
format | Article |
id | doaj-art-d13bc7ba871348d58704c41cd5efb5c7 |
institution | Kabale University |
issn | 1029-8479 |
language | English |
publishDate | 2024-10-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj-art-d13bc7ba871348d58704c41cd5efb5c72025-01-05T12:05:54ZengSpringerOpenJournal of High Energy Physics1029-84792024-10-0120241014910.1007/JHEP10(2024)042Highly-enhanced propagation of long-range kinks in heterogeneous mediaJorge A. González0Alberto Bellorín1Luis E. Guerrero2Salvador Jiménez3Juan F. Marín4Department of Physics, Florida International UniversityEscuela de Física, Facultad de Ciencias, Universidad Central de VenezuelaDepartamento de Física, Universidad Simón BolívarDepartamento de Matemática Aplicada a las TIC, ETSI Telecomunicación, Universidad Politécnica de MadridDepartamento de Física, Facultad de Ciencias Naturales, Matemática y del Medio Ambiente, Universidad Tecnológica MetropolitanaAbstract We investigate a field-theoretical model that describes the interaction between kinks and antikinks and between kinks and other heterogeneous fields and impurities. We show that the long-range kink can tunnel through a barrier created by heterogeneous fields and impurities even when the energy of the center of mass of the kink is less than the height of the energy barrier. We also study the conditions under which the kink can pass freely through a disordered medium. We introduce the concept of “effective translational symmetry”. We compare our results with those from recent papers published in this journal, where the Bogomol’nyi-Prasad-Sommerfield property is discussed.https://doi.org/10.1007/JHEP10(2024)042Integrable Field TheoriesSolitons Monopoles and Instantons |
spellingShingle | Jorge A. González Alberto Bellorín Luis E. Guerrero Salvador Jiménez Juan F. Marín Highly-enhanced propagation of long-range kinks in heterogeneous media Journal of High Energy Physics Integrable Field Theories Solitons Monopoles and Instantons |
title | Highly-enhanced propagation of long-range kinks in heterogeneous media |
title_full | Highly-enhanced propagation of long-range kinks in heterogeneous media |
title_fullStr | Highly-enhanced propagation of long-range kinks in heterogeneous media |
title_full_unstemmed | Highly-enhanced propagation of long-range kinks in heterogeneous media |
title_short | Highly-enhanced propagation of long-range kinks in heterogeneous media |
title_sort | highly enhanced propagation of long range kinks in heterogeneous media |
topic | Integrable Field Theories Solitons Monopoles and Instantons |
url | https://doi.org/10.1007/JHEP10(2024)042 |
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