Thermodynamic bootstrap program for integrable QFT’s: form factors and correlation functions at finite energy density
Abstract We study the form factors of local operators of integrable QFT’s between states with finite energy density. These states arise, for example, at finite temperature, or from a generalized Gibbs ensemble. We generalize Smirnov’s form factor axioms, formulating them for a set of particle/hole e...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP01(2019)104 |
| _version_ | 1819062265084641280 |
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| author | Axel Cortés Cubero Miłosz Panfil |
| author_facet | Axel Cortés Cubero Miłosz Panfil |
| author_sort | Axel Cortés Cubero |
| collection | DOAJ |
| description | Abstract We study the form factors of local operators of integrable QFT’s between states with finite energy density. These states arise, for example, at finite temperature, or from a generalized Gibbs ensemble. We generalize Smirnov’s form factor axioms, formulating them for a set of particle/hole excitations on top of the thermodynamic background, instead of the vacuum. We show that exact form factors can be found as minimal solutions of these new axioms. The thermodynamic form factors can be used to construct correlation functions on thermodynamic states. The expression found for the two-point function is similar to the conjectured LeClair-Mussardo formula, but using the new form factors dressed by the thermodynamic background, and with all singularities properly regularized. We study the different infrared asymptotics of the thermal two-point function, and show there generally exist two different regimes, manifesting massive exponential decay, or effectively gapless behavior at long distances, respectively. As an example, we compute the few-excitations form factors of vertex operators for the sinh-Gordon model. |
| first_indexed | 2024-12-21T14:56:02Z |
| format | Article |
| id | doaj.art-64439f68932641aab93b7aa682052140 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T14:56:02Z |
| publishDate | 2019-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-64439f68932641aab93b7aa6820521402022-12-21T18:59:45ZengSpringerOpenJournal of High Energy Physics1029-84792019-01-012019115010.1007/JHEP01(2019)104Thermodynamic bootstrap program for integrable QFT’s: form factors and correlation functions at finite energy densityAxel Cortés Cubero0Miłosz Panfil1Institute for Theoretical Physics, Center for Extreme Matter and Emergent Phenomena, Utrecht UniversityFaculty of Physics, University of WarsawAbstract We study the form factors of local operators of integrable QFT’s between states with finite energy density. These states arise, for example, at finite temperature, or from a generalized Gibbs ensemble. We generalize Smirnov’s form factor axioms, formulating them for a set of particle/hole excitations on top of the thermodynamic background, instead of the vacuum. We show that exact form factors can be found as minimal solutions of these new axioms. The thermodynamic form factors can be used to construct correlation functions on thermodynamic states. The expression found for the two-point function is similar to the conjectured LeClair-Mussardo formula, but using the new form factors dressed by the thermodynamic background, and with all singularities properly regularized. We study the different infrared asymptotics of the thermal two-point function, and show there generally exist two different regimes, manifesting massive exponential decay, or effectively gapless behavior at long distances, respectively. As an example, we compute the few-excitations form factors of vertex operators for the sinh-Gordon model.http://link.springer.com/article/10.1007/JHEP01(2019)104Bethe AnsatzField Theories in Lower DimensionsIntegrable Field TheoriesNonperturbative Effects |
| spellingShingle | Axel Cortés Cubero Miłosz Panfil Thermodynamic bootstrap program for integrable QFT’s: form factors and correlation functions at finite energy density Journal of High Energy Physics Bethe Ansatz Field Theories in Lower Dimensions Integrable Field Theories Nonperturbative Effects |
| title | Thermodynamic bootstrap program for integrable QFT’s: form factors and correlation functions at finite energy density |
| title_full | Thermodynamic bootstrap program for integrable QFT’s: form factors and correlation functions at finite energy density |
| title_fullStr | Thermodynamic bootstrap program for integrable QFT’s: form factors and correlation functions at finite energy density |
| title_full_unstemmed | Thermodynamic bootstrap program for integrable QFT’s: form factors and correlation functions at finite energy density |
| title_short | Thermodynamic bootstrap program for integrable QFT’s: form factors and correlation functions at finite energy density |
| title_sort | thermodynamic bootstrap program for integrable qft s form factors and correlation functions at finite energy density |
| topic | Bethe Ansatz Field Theories in Lower Dimensions Integrable Field Theories Nonperturbative Effects |
| url | http://link.springer.com/article/10.1007/JHEP01(2019)104 |
| work_keys_str_mv | AT axelcortescubero thermodynamicbootstrapprogramforintegrableqftsformfactorsandcorrelationfunctionsatfiniteenergydensity AT miłoszpanfil thermodynamicbootstrapprogramforintegrableqftsformfactorsandcorrelationfunctionsatfiniteenergydensity |