Instanton corrections to the MSTB Kink mass

Abstract The Montonen-Sarker-Trullinger-Bishop (MSTB) model enjoys two classically degenerate kink solutions in the same topological sector. We construct the instanton that interpolates between them and argue that the two lowest lying Hamiltonian eigenstates in the kink sector of the corresponding q...

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Main Authors: Jarah Evslin, Alberto García Martín-Caro, Andrzej Wereszczyński
Format: Article
Language:English
Published: SpringerOpen 2025-04-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP04(2025)173
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author Jarah Evslin
Alberto García Martín-Caro
Andrzej Wereszczyński
author_facet Jarah Evslin
Alberto García Martín-Caro
Andrzej Wereszczyński
author_sort Jarah Evslin
collection DOAJ
description Abstract The Montonen-Sarker-Trullinger-Bishop (MSTB) model enjoys two classically degenerate kink solutions in the same topological sector. We construct the instanton that interpolates between them and argue that the two lowest lying Hamiltonian eigenstates in the kink sector of the corresponding quantum theory correspond to symmetric and antisymmetric combinations of coherent states localized at these two solutions. We use the instanton gas approximation to provide a simple, analytic formula for the leading contribution to the mass splitting between these two states.
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institution DOAJ
issn 1029-8479
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publishDate 2025-04-01
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series Journal of High Energy Physics
spelling doaj-art-25352435c73f44e28343d7991292ee912025-08-20T03:09:34ZengSpringerOpenJournal of High Energy Physics1029-84792025-04-012025411810.1007/JHEP04(2025)173Instanton corrections to the MSTB Kink massJarah Evslin0Alberto García Martín-Caro1Andrzej Wereszczyński2Quark Matter Research Center, Institute of Modern PhysicsDepartment of Physics, University of the Basque Country UPV/EHUInstitute of Theoretical Physics, Jagiellonian UniversityAbstract The Montonen-Sarker-Trullinger-Bishop (MSTB) model enjoys two classically degenerate kink solutions in the same topological sector. We construct the instanton that interpolates between them and argue that the two lowest lying Hamiltonian eigenstates in the kink sector of the corresponding quantum theory correspond to symmetric and antisymmetric combinations of coherent states localized at these two solutions. We use the instanton gas approximation to provide a simple, analytic formula for the leading contribution to the mass splitting between these two states.https://doi.org/10.1007/JHEP04(2025)173Solitons Monopoles and InstantonsNonperturbative EffectsField Theories in Lower Dimensions
spellingShingle Jarah Evslin
Alberto García Martín-Caro
Andrzej Wereszczyński
Instanton corrections to the MSTB Kink mass
Journal of High Energy Physics
Solitons Monopoles and Instantons
Nonperturbative Effects
Field Theories in Lower Dimensions
title Instanton corrections to the MSTB Kink mass
title_full Instanton corrections to the MSTB Kink mass
title_fullStr Instanton corrections to the MSTB Kink mass
title_full_unstemmed Instanton corrections to the MSTB Kink mass
title_short Instanton corrections to the MSTB Kink mass
title_sort instanton corrections to the mstb kink mass
topic Solitons Monopoles and Instantons
Nonperturbative Effects
Field Theories in Lower Dimensions
url https://doi.org/10.1007/JHEP04(2025)173
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AT albertogarciamartincaro instantoncorrectionstothemstbkinkmass
AT andrzejwereszczynski instantoncorrectionstothemstbkinkmass