Instanton corrections to the MSTB Kink mass

A bstract 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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Publication Details

Journal
Journal of High Energy Physics
Published
2025-04-23
DOI
https://doi.org/10.1007/jhep04(2025)173
Citations
1
Primary Topic
Particle physics theoretical and experimental studies
Type
article
Field-Weighted Citation Impact
1.87

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article

Instanton corrections to the MSTB Kink mass

Alberto García Martín-Caro, A. Wereszczyński, Jarah Evslin
1 citations
Journal of High Energy Physics
Particle physics theoretical and experimental studies
1.87
article

Instanton corrections to the MSTB Kink mass

Alberto García Martín-Caro, A. Wereszczyński, Jarah Evslin
article en
1 citations

Abstract

A bstract 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.

Journal of High Energy PhysicsVol. 2025(4)
Jagiellonian University (PL), University of the Basque Country (ES), Institute of Modern Physics (CN), International Institute for Sustainability (BR), University of Chinese Academy of Sciences (CN)
European Commission, National Natural Science Foundation of China, Eusko Jaurlaritza, European Regional Development Fund
Sustainable cities and communities
Openalex Percentile: Top 14%
Particle physics theoretical and experimental studies
1.87
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