Analytic bootstrap for the localized magnetic field
Abstract We study the two-point function of local operators in the critical O(N) model in the presence of a magnetic field localized on a line. We use a recently developed conformal dispersion relation to compute the correlator at first order in the ϵ-expansion and we extract the full set of defect...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2023)069 |
| _version_ | 1797769685814476800 |
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| author | Lorenzo Bianchi Davide Bonomi Elia de Sabbata |
| author_facet | Lorenzo Bianchi Davide Bonomi Elia de Sabbata |
| author_sort | Lorenzo Bianchi |
| collection | DOAJ |
| description | Abstract We study the two-point function of local operators in the critical O(N) model in the presence of a magnetic field localized on a line. We use a recently developed conformal dispersion relation to compute the correlator at first order in the ϵ-expansion and we extract the full set of defect and bulk CFT data using the Lorentzian inversion formulae. The only input for the computation of the connected correlator is its discontinuity at first order in perturbation theory, which is determined by the anomalous dimension of a single bulk operator. We discuss possible low-spin ambiguities and perform several diagrammatic checks of our results. |
| first_indexed | 2024-03-12T21:12:35Z |
| format | Article |
| id | doaj.art-14cb8d8ba5b847f0a8b483f4ed3281b8 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T21:12:35Z |
| publishDate | 2023-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-14cb8d8ba5b847f0a8b483f4ed3281b82023-07-30T11:04:16ZengSpringerOpenJournal of High Energy Physics1029-84792023-04-012023414110.1007/JHEP04(2023)069Analytic bootstrap for the localized magnetic fieldLorenzo Bianchi0Davide Bonomi1Elia de Sabbata2Dipartimento di Fisica, Università di Torino and INFN — Sezione di TorinoDepartment of Mathematics, City, University of LondonDipartimento di Fisica, Università di Torino and INFN — Sezione di TorinoAbstract We study the two-point function of local operators in the critical O(N) model in the presence of a magnetic field localized on a line. We use a recently developed conformal dispersion relation to compute the correlator at first order in the ϵ-expansion and we extract the full set of defect and bulk CFT data using the Lorentzian inversion formulae. The only input for the computation of the connected correlator is its discontinuity at first order in perturbation theory, which is determined by the anomalous dimension of a single bulk operator. We discuss possible low-spin ambiguities and perform several diagrammatic checks of our results.https://doi.org/10.1007/JHEP04(2023)069Scale and Conformal SymmetriesGlobal Symmetries |
| spellingShingle | Lorenzo Bianchi Davide Bonomi Elia de Sabbata Analytic bootstrap for the localized magnetic field Journal of High Energy Physics Scale and Conformal Symmetries Global Symmetries |
| title | Analytic bootstrap for the localized magnetic field |
| title_full | Analytic bootstrap for the localized magnetic field |
| title_fullStr | Analytic bootstrap for the localized magnetic field |
| title_full_unstemmed | Analytic bootstrap for the localized magnetic field |
| title_short | Analytic bootstrap for the localized magnetic field |
| title_sort | analytic bootstrap for the localized magnetic field |
| topic | Scale and Conformal Symmetries Global Symmetries |
| url | https://doi.org/10.1007/JHEP04(2023)069 |
| work_keys_str_mv | AT lorenzobianchi analyticbootstrapforthelocalizedmagneticfield AT davidebonomi analyticbootstrapforthelocalizedmagneticfield AT eliadesabbata analyticbootstrapforthelocalizedmagneticfield |