Spectrum continuity and level repulsion: the Ising CFT from infinitesimal to finite ε
Abstract Using numerical conformal bootstrap technology we perform a non-perturbative study of the Ising CFT and its spectrum from infinitesimal to finite values of ε = 4 – d. Exploiting the recent navigator bootstrap method in conjunction with the extremal functional method, we test various qualita...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2023)218 |
| _version_ | 1797779065900367872 |
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| author | Johan Henriksson Stefanos R. Kousvos Marten Reehorst |
| author_facet | Johan Henriksson Stefanos R. Kousvos Marten Reehorst |
| author_sort | Johan Henriksson |
| collection | DOAJ |
| description | Abstract Using numerical conformal bootstrap technology we perform a non-perturbative study of the Ising CFT and its spectrum from infinitesimal to finite values of ε = 4 – d. Exploiting the recent navigator bootstrap method in conjunction with the extremal functional method, we test various qualitative and quantitative features of the ε-expansion. We follow the scaling dimensions of numerous operators from the perturbatively controlled regime to finite coupling. We do this for ℤ2-even operators up to spin 12 and for ℤ2-odd operators up to spin 6 and find a good matching with perturbation theory. In the finite coupling regime we observe two operators whose dimensions approach each other and then repel, a phenomenon known as level repulsion and which can be analyzed via operator mixing. Our work improves on previous studies in both increased precision and the number of operators studied, and is the first to observe level repulsion in the conformal bootstrap. |
| first_indexed | 2024-03-12T23:26:21Z |
| format | Article |
| id | doaj.art-929a7b62f95b453d8a3477f450df1fc3 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T23:26:21Z |
| publishDate | 2023-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-929a7b62f95b453d8a3477f450df1fc32023-07-16T11:07:29ZengSpringerOpenJournal of High Energy Physics1029-84792023-02-012023214410.1007/JHEP02(2023)218Spectrum continuity and level repulsion: the Ising CFT from infinitesimal to finite εJohan Henriksson0Stefanos R. Kousvos1Marten Reehorst2Department of Physics, University of Pisa and INFNDepartment of Physics, University of Pisa and INFNCPHT, CNRS, École Polytechnique, Institut Polytechnique de ParisAbstract Using numerical conformal bootstrap technology we perform a non-perturbative study of the Ising CFT and its spectrum from infinitesimal to finite values of ε = 4 – d. Exploiting the recent navigator bootstrap method in conjunction with the extremal functional method, we test various qualitative and quantitative features of the ε-expansion. We follow the scaling dimensions of numerous operators from the perturbatively controlled regime to finite coupling. We do this for ℤ2-even operators up to spin 12 and for ℤ2-odd operators up to spin 6 and find a good matching with perturbation theory. In the finite coupling regime we observe two operators whose dimensions approach each other and then repel, a phenomenon known as level repulsion and which can be analyzed via operator mixing. Our work improves on previous studies in both increased precision and the number of operators studied, and is the first to observe level repulsion in the conformal bootstrap.https://doi.org/10.1007/JHEP02(2023)218Nonperturbative EffectsScale and Conformal SymmetriesConformal and W Symmetry |
| spellingShingle | Johan Henriksson Stefanos R. Kousvos Marten Reehorst Spectrum continuity and level repulsion: the Ising CFT from infinitesimal to finite ε Journal of High Energy Physics Nonperturbative Effects Scale and Conformal Symmetries Conformal and W Symmetry |
| title | Spectrum continuity and level repulsion: the Ising CFT from infinitesimal to finite ε |
| title_full | Spectrum continuity and level repulsion: the Ising CFT from infinitesimal to finite ε |
| title_fullStr | Spectrum continuity and level repulsion: the Ising CFT from infinitesimal to finite ε |
| title_full_unstemmed | Spectrum continuity and level repulsion: the Ising CFT from infinitesimal to finite ε |
| title_short | Spectrum continuity and level repulsion: the Ising CFT from infinitesimal to finite ε |
| title_sort | spectrum continuity and level repulsion the ising cft from infinitesimal to finite ε |
| topic | Nonperturbative Effects Scale and Conformal Symmetries Conformal and W Symmetry |
| url | https://doi.org/10.1007/JHEP02(2023)218 |
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