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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2021
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oai:doaj.org-article:c75d0111a1bf4c54ba785be9ff47c78b2021-11-14T12:39:56ZMultipoint correlation functions at phase separation. Exact results from field theory10.1007/JHEP11(2021)0961029-8479https://doaj.org/article/c75d0111a1bf4c54ba785be9ff47c78b2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)096https://doaj.org/toc/1029-8479Abstract 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.Alessio SquarciniSpringerOpenarticleBoundary Quantum Field TheoryField Theories in Lower DimensionsNon-perturbative EffectsNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-50 (2021) |
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Boundary Quantum Field Theory Field Theories in Lower Dimensions Non-perturbative Effects Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 |
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Boundary Quantum Field Theory Field Theories in Lower Dimensions Non-perturbative Effects Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Alessio Squarcini Multipoint correlation functions at phase separation. Exact results from field theory |
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. |
format |
article |
author |
Alessio Squarcini |
author_facet |
Alessio Squarcini |
author_sort |
Alessio Squarcini |
title |
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_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_sort |
multipoint correlation functions at phase separation. exact results from field theory |
publisher |
SpringerOpen |
publishDate |
2021 |
url |
https://doaj.org/article/c75d0111a1bf4c54ba785be9ff47c78b |
work_keys_str_mv |
AT alessiosquarcini multipointcorrelationfunctionsatphaseseparationexactresultsfromfieldtheory |
_version_ |
1718429130270179328 |