Extended multi-scalar field theories in $$(1+1)$$ ( 1 + 1 ) dimensions

Abstract We present the explicit construction of some multi-scalar field theories in $$(1+1$$ ( 1 + 1 ) dimensions supporting BPS (Bogomol’nyi–Prasad–Sommerfield) kink solutions. The construction is based on the ideas of the so-called extension method. In particular, several new interesting two-scal...

Full description

Bibliographic Details
Main Authors: A. R. Aguirre, E. S. Souza
Format: Article
Language:English
Published: SpringerOpen 2020-12-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-020-08724-y
id doaj-348a8f35b6e346b197b1ae4c78cc56f7
record_format Article
spelling doaj-348a8f35b6e346b197b1ae4c78cc56f72020-12-13T12:36:55ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-12-01801212410.1140/epjc/s10052-020-08724-yExtended multi-scalar field theories in $$(1+1)$$ ( 1 + 1 ) dimensionsA. R. Aguirre0E. S. Souza1Instituto de Física e Química, Universidade Federal de ItajubáInstituto de Física e Química, Universidade Federal de ItajubáAbstract We present the explicit construction of some multi-scalar field theories in $$(1+1$$ ( 1 + 1 ) dimensions supporting BPS (Bogomol’nyi–Prasad–Sommerfield) kink solutions. The construction is based on the ideas of the so-called extension method. In particular, several new interesting two-scalar and three-scalar field theories are explicitly constructed from non-trivial couplings between well-known one-scalar field theories. The BPS solutions of the original one-field systems will be also BPS solutions of the multi-scalar system by construction, and therefore we will analyse their linear stability properties for the constructed models.https://doi.org/10.1140/epjc/s10052-020-08724-y
collection DOAJ
language English
format Article
sources DOAJ
author A. R. Aguirre
E. S. Souza
spellingShingle A. R. Aguirre
E. S. Souza
Extended multi-scalar field theories in $$(1+1)$$ ( 1 + 1 ) dimensions
European Physical Journal C: Particles and Fields
author_facet A. R. Aguirre
E. S. Souza
author_sort A. R. Aguirre
title Extended multi-scalar field theories in $$(1+1)$$ ( 1 + 1 ) dimensions
title_short Extended multi-scalar field theories in $$(1+1)$$ ( 1 + 1 ) dimensions
title_full Extended multi-scalar field theories in $$(1+1)$$ ( 1 + 1 ) dimensions
title_fullStr Extended multi-scalar field theories in $$(1+1)$$ ( 1 + 1 ) dimensions
title_full_unstemmed Extended multi-scalar field theories in $$(1+1)$$ ( 1 + 1 ) dimensions
title_sort extended multi-scalar field theories in $$(1+1)$$ ( 1 + 1 ) dimensions
publisher SpringerOpen
series European Physical Journal C: Particles and Fields
issn 1434-6044
1434-6052
publishDate 2020-12-01
description Abstract We present the explicit construction of some multi-scalar field theories in $$(1+1$$ ( 1 + 1 ) dimensions supporting BPS (Bogomol’nyi–Prasad–Sommerfield) kink solutions. The construction is based on the ideas of the so-called extension method. In particular, several new interesting two-scalar and three-scalar field theories are explicitly constructed from non-trivial couplings between well-known one-scalar field theories. The BPS solutions of the original one-field systems will be also BPS solutions of the multi-scalar system by construction, and therefore we will analyse their linear stability properties for the constructed models.
url https://doi.org/10.1140/epjc/s10052-020-08724-y
work_keys_str_mv AT araguirre extendedmultiscalarfieldtheoriesin1111dimensions
AT essouza extendedmultiscalarfieldtheoriesin1111dimensions
_version_ 1724384510084120576