Finite volume expectation values in the sine-Gordon model
Abstract Using the fermionic basis discovered in the 6-vertex model, we derive exact formulas for the expectation values of local operators of the sine-Gordon theory in any eigenstate of the Hamiltonian. We tested our formulas in the pure multi-soliton sector of the theory. In the ultraviolet limit,...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)122 |
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| _version_ | 1832586169154535424 |
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| author | Árpád Hegedűs |
| author_facet | Árpád Hegedűs |
| author_sort | Árpád Hegedűs |
| collection | DOAJ |
| description | Abstract Using the fermionic basis discovered in the 6-vertex model, we derive exact formulas for the expectation values of local operators of the sine-Gordon theory in any eigenstate of the Hamiltonian. We tested our formulas in the pure multi-soliton sector of the theory. In the ultraviolet limit, we checked our results against Liouville 3-point functions, while in the infrared limit, we evaluated our formulas in the semi-classical limit and compared them up to 2-particle contributions against the semi-classical limit of the previously conjectured LeClair-Mussardo type formula. Complete agreement was found in both cases. |
| format | Article |
| id | doaj-art-f7a3e54781c94442a359d49395bb98cd |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-f7a3e54781c94442a359d49395bb98cd2025-01-26T12:11:41ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020113810.1007/JHEP01(2020)122Finite volume expectation values in the sine-Gordon modelÁrpád Hegedűs0Wigner Research Centre for PhysicsAbstract Using the fermionic basis discovered in the 6-vertex model, we derive exact formulas for the expectation values of local operators of the sine-Gordon theory in any eigenstate of the Hamiltonian. We tested our formulas in the pure multi-soliton sector of the theory. In the ultraviolet limit, we checked our results against Liouville 3-point functions, while in the infrared limit, we evaluated our formulas in the semi-classical limit and compared them up to 2-particle contributions against the semi-classical limit of the previously conjectured LeClair-Mussardo type formula. Complete agreement was found in both cases.https://doi.org/10.1007/JHEP01(2020)122Bethe AnsatzIntegrable Field Theories |
| spellingShingle | Árpád Hegedűs Finite volume expectation values in the sine-Gordon model Journal of High Energy Physics Bethe Ansatz Integrable Field Theories |
| title | Finite volume expectation values in the sine-Gordon model |
| title_full | Finite volume expectation values in the sine-Gordon model |
| title_fullStr | Finite volume expectation values in the sine-Gordon model |
| title_full_unstemmed | Finite volume expectation values in the sine-Gordon model |
| title_short | Finite volume expectation values in the sine-Gordon model |
| title_sort | finite volume expectation values in the sine gordon model |
| topic | Bethe Ansatz Integrable Field Theories |
| url | https://doi.org/10.1007/JHEP01(2020)122 |
| work_keys_str_mv | AT arpadhegedus finitevolumeexpectationvaluesinthesinegordonmodel |