The ground state of the sine-Gordon soliton

Abstract At one loop, we provide an explicit formula for the ground state of the one- soliton sector in the sine-Gordon theory. The state is given in the basis of eigenstates of the field operator, or equivalently as a Schrodinger wave functional. The formula readily generalizes to other solitons in...

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Main Author: Jarah Evslin
Format: Article
Language:English
Published: SpringerOpen 2020-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP07(2020)099
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author Jarah Evslin
author_facet Jarah Evslin
author_sort Jarah Evslin
collection DOAJ
description Abstract At one loop, we provide an explicit formula for the ground state of the one- soliton sector in the sine-Gordon theory. The state is given in the basis of eigenstates of the field operator, or equivalently as a Schrodinger wave functional. The formula readily generalizes to other solitons in other models and as an example we also provide the ground state of the kink in the (1+1)-dimensional ϕ 4 double well.
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spelling doaj.art-f2d4fb6e69384f8f85fc3119af2184942022-12-21T18:57:59ZengSpringerOpenJournal of High Energy Physics1029-84792020-07-012020711310.1007/JHEP07(2020)099The ground state of the sine-Gordon solitonJarah Evslin0Institute of Modern PhysicsAbstract At one loop, we provide an explicit formula for the ground state of the one- soliton sector in the sine-Gordon theory. The state is given in the basis of eigenstates of the field operator, or equivalently as a Schrodinger wave functional. The formula readily generalizes to other solitons in other models and as an example we also provide the ground state of the kink in the (1+1)-dimensional ϕ 4 double well.http://link.springer.com/article/10.1007/JHEP07(2020)099Solitons Monopoles and InstantonsField Theories in Lower Dimensions
spellingShingle Jarah Evslin
The ground state of the sine-Gordon soliton
Journal of High Energy Physics
Solitons Monopoles and Instantons
Field Theories in Lower Dimensions
title The ground state of the sine-Gordon soliton
title_full The ground state of the sine-Gordon soliton
title_fullStr The ground state of the sine-Gordon soliton
title_full_unstemmed The ground state of the sine-Gordon soliton
title_short The ground state of the sine-Gordon soliton
title_sort ground state of the sine gordon soliton
topic Solitons Monopoles and Instantons
Field Theories in Lower Dimensions
url http://link.springer.com/article/10.1007/JHEP07(2020)099
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