Impurity-doped scalar fields in arbitrary dimensions

We investigate the presence of localized structures for relativistic scalar fields coupled to impurities in arbitrary spatial dimensions. Such systems present spatial inhomogeneity, realized through the inclusion of explicit coordinate dependence in the Lagrangian. It is shown that, in stark contras...

Full description

Bibliographic Details
Main Authors: D. Bazeia, M.A. Liao, M.A. Marques
Format: Article
Language:English
Published: Elsevier 2023-11-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269323005968
_version_ 1827766442223730688
author D. Bazeia
M.A. Liao
M.A. Marques
author_facet D. Bazeia
M.A. Liao
M.A. Marques
author_sort D. Bazeia
collection DOAJ
description We investigate the presence of localized structures for relativistic scalar fields coupled to impurities in arbitrary spatial dimensions. Such systems present spatial inhomogeneity, realized through the inclusion of explicit coordinate dependence in the Lagrangian. It is shown that, in stark contrast to the impurity-free scenario, Derrick's argument does not present a strong hindrance to the existence of stable solutions in this case. Bogomol'nyi equations giving rise to global minima of the energy are found, and some of the ensuing BPS configurations are presented.
first_indexed 2024-03-11T11:42:02Z
format Article
id doaj.art-efd35a1ed0a34ea79f97388d9abed2d4
institution Directory Open Access Journal
issn 0370-2693
language English
last_indexed 2024-03-11T11:42:02Z
publishDate 2023-11-01
publisher Elsevier
record_format Article
series Physics Letters B
spelling doaj.art-efd35a1ed0a34ea79f97388d9abed2d42023-11-10T04:15:59ZengElsevierPhysics Letters B0370-26932023-11-01846138262Impurity-doped scalar fields in arbitrary dimensionsD. Bazeia0M.A. Liao1M.A. Marques2Departamento de Física, Universidade Federal da Paraíba, 58051-970 João Pessoa, PB, Brazil; Corresponding author.Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104, USA; Departamento de Física, Universidade Federal da Paraíba, 58051-970 João Pessoa, PB, BrazilDepartamento de Biotecnologia, Universidade Federal da Paraíba, 58051-900 João Pessoa, PB, BrazilWe investigate the presence of localized structures for relativistic scalar fields coupled to impurities in arbitrary spatial dimensions. Such systems present spatial inhomogeneity, realized through the inclusion of explicit coordinate dependence in the Lagrangian. It is shown that, in stark contrast to the impurity-free scenario, Derrick's argument does not present a strong hindrance to the existence of stable solutions in this case. Bogomol'nyi equations giving rise to global minima of the energy are found, and some of the ensuing BPS configurations are presented.http://www.sciencedirect.com/science/article/pii/S0370269323005968
spellingShingle D. Bazeia
M.A. Liao
M.A. Marques
Impurity-doped scalar fields in arbitrary dimensions
Physics Letters B
title Impurity-doped scalar fields in arbitrary dimensions
title_full Impurity-doped scalar fields in arbitrary dimensions
title_fullStr Impurity-doped scalar fields in arbitrary dimensions
title_full_unstemmed Impurity-doped scalar fields in arbitrary dimensions
title_short Impurity-doped scalar fields in arbitrary dimensions
title_sort impurity doped scalar fields in arbitrary dimensions
url http://www.sciencedirect.com/science/article/pii/S0370269323005968
work_keys_str_mv AT dbazeia impuritydopedscalarfieldsinarbitrarydimensions
AT maliao impuritydopedscalarfieldsinarbitrarydimensions
AT mamarques impuritydopedscalarfieldsinarbitrarydimensions