Multipoint correlation functions at phase separation. Exact results from field theory
Abstract We consider near-critical two-dimensional statistical systems with boundary conditions inducing phase separation on the strip. By exploiting low-energy properties of two-dimensional field theories, we compute arbitrary n-point correlation of the order parameter field. Finite-size correction...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-11-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP11(2021)096 |
| _version_ | 1798034882939584512 |
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| author | Alessio Squarcini |
| author_facet | Alessio Squarcini |
| author_sort | Alessio Squarcini |
| collection | DOAJ |
| description | Abstract We consider near-critical two-dimensional statistical systems with boundary conditions inducing phase separation on the strip. By exploiting low-energy properties of two-dimensional field theories, we compute arbitrary n-point correlation of the order parameter field. Finite-size corrections and mixed correlations involving the stress tensor trace are also discussed. As an explicit illustration of the technique, we provide a closed-form expression for a three-point correlation function and illustrate the explicit form of the long-ranged interfacial fluctuations as well as their confinement within the interfacial region. |
| first_indexed | 2024-04-11T20:50:27Z |
| format | Article |
| id | doaj.art-c75d0111a1bf4c54ba785be9ff47c78b |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-11T20:50:27Z |
| publishDate | 2021-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c75d0111a1bf4c54ba785be9ff47c78b2022-12-22T04:03:52ZengSpringerOpenJournal of High Energy Physics1029-84792021-11-0120211115010.1007/JHEP11(2021)096Multipoint correlation functions at phase separation. Exact results from field theoryAlessio Squarcini0Max-Planck-Institut für Intelligente SystemeAbstract We consider near-critical two-dimensional statistical systems with boundary conditions inducing phase separation on the strip. By exploiting low-energy properties of two-dimensional field theories, we compute arbitrary n-point correlation of the order parameter field. Finite-size corrections and mixed correlations involving the stress tensor trace are also discussed. As an explicit illustration of the technique, we provide a closed-form expression for a three-point correlation function and illustrate the explicit form of the long-ranged interfacial fluctuations as well as their confinement within the interfacial region.https://doi.org/10.1007/JHEP11(2021)096Boundary Quantum Field TheoryField Theories in Lower DimensionsNon-perturbative Effects |
| spellingShingle | Alessio Squarcini Multipoint correlation functions at phase separation. Exact results from field theory Journal of High Energy Physics Boundary Quantum Field Theory Field Theories in Lower Dimensions Non-perturbative Effects |
| title | Multipoint correlation functions at phase separation. Exact results from field theory |
| title_full | Multipoint correlation functions at phase separation. Exact results from field theory |
| title_fullStr | Multipoint correlation functions at phase separation. Exact results from field theory |
| title_full_unstemmed | Multipoint correlation functions at phase separation. Exact results from field theory |
| title_short | Multipoint correlation functions at phase separation. Exact results from field theory |
| title_sort | multipoint correlation functions at phase separation exact results from field theory |
| topic | Boundary Quantum Field Theory Field Theories in Lower Dimensions Non-perturbative Effects |
| url | https://doi.org/10.1007/JHEP11(2021)096 |
| work_keys_str_mv | AT alessiosquarcini multipointcorrelationfunctionsatphaseseparationexactresultsfromfieldtheory |