Semi-BPS sphaleron and its dynamics

We construct a simple field theory in which a sphaleron, i.e., a saddle-point particle-like solution, forms a semi-BPS state with a background defect that is an impurity. This means that there is no static force between the sphaleron and the impurity. Therefore such a sphaleron-impurity system is ve...

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Bibliographic Details
Published in:arXiv.org 2023-09
Main Authors: Alonso-Izquierdo, A, Navarro-Obregón, S, Oles, K, Queiruga, J, Romanczukiewicz, T, Wereszczynski, A
Format: Article
Language:English
Subjects:
Field theory
Impurities
Saddle points
Solitary waves
Online Access:Get full text
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Summary:We construct a simple field theory in which a sphaleron, i.e., a saddle-point particle-like solution, forms a semi-BPS state with a background defect that is an impurity. This means that there is no static force between the sphaleron and the impurity. Therefore such a sphaleron-impurity system is very much like usual BPS multi-solitons, however, still possessing an unstable direction allowing for its decay. We study dynamics of the sphaleron in such a system.
ISSN:2331-8422