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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Format: | Article |
Language: | English |
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SpringerOpen
2020-07-01
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Series: | Journal of High Energy Physics |
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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. |
first_indexed | 2024-12-21T16:01:43Z |
format | Article |
id | doaj.art-f2d4fb6e69384f8f85fc3119af218494 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-21T16:01:43Z |
publishDate | 2020-07-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
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 |
work_keys_str_mv | AT jarahevslin thegroundstateofthesinegordonsoliton AT jarahevslin groundstateofthesinegordonsoliton |