Localized magnetic field in the O(N) model
<p>We consider the critical <em>O(N)</em> model in the presence of an external magnetic field localized in space. This setup can potentially be realized in quantum simulators and in some liquid mixtures. The external field can be understood as a relevant perturbation of the trivial...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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Springer
2022
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| _version_ | 1826310431696748544 |
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| author | Cuomo, G Komargodski, Z Mezei, M |
| author_facet | Cuomo, G Komargodski, Z Mezei, M |
| author_sort | Cuomo, G |
| collection | OXFORD |
| description | <p>We consider the critical <em>O(N)</em> model in the presence of an external magnetic field localized in space. This setup can potentially be realized in quantum simulators and in some liquid mixtures. The external field can be understood as a relevant perturbation of the trivial line defect, and thus triggers a defect Renormalization Group (RG) flow. In agreement with the g-theorem, the external localized field leads at long distances to a stable nontrivial defect CFT (DCFT) with <em>g</em> < 1. We obtain several predictions for the corresponding DCFT data in the epsilon expansion and in the large N limit. The analysis of the large N limit involves a new saddle point and, remarkably, the study of fluctuations around it is enabled by recent progress in AdS loop diagrams. Our results are compatible with results from Monte Carlo simulations and we make several predictions that can be tested in the future.</p> |
| first_indexed | 2024-03-07T07:51:15Z |
| format | Journal article |
| id | oxford-uuid:b32ca840-5445-4435-a2cc-485fa710fb29 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:51:15Z |
| publishDate | 2022 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:b32ca840-5445-4435-a2cc-485fa710fb292023-07-13T13:51:37ZLocalized magnetic field in the O(N) modelJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b32ca840-5445-4435-a2cc-485fa710fb29EnglishSymplectic ElementsSpringer 2022Cuomo, GKomargodski, ZMezei, M<p>We consider the critical <em>O(N)</em> model in the presence of an external magnetic field localized in space. This setup can potentially be realized in quantum simulators and in some liquid mixtures. The external field can be understood as a relevant perturbation of the trivial line defect, and thus triggers a defect Renormalization Group (RG) flow. In agreement with the g-theorem, the external localized field leads at long distances to a stable nontrivial defect CFT (DCFT) with <em>g</em> < 1. We obtain several predictions for the corresponding DCFT data in the epsilon expansion and in the large N limit. The analysis of the large N limit involves a new saddle point and, remarkably, the study of fluctuations around it is enabled by recent progress in AdS loop diagrams. Our results are compatible with results from Monte Carlo simulations and we make several predictions that can be tested in the future.</p> |
| spellingShingle | Cuomo, G Komargodski, Z Mezei, M Localized magnetic field in the O(N) model |
| title | Localized magnetic field in the O(N) model |
| title_full | Localized magnetic field in the O(N) model |
| title_fullStr | Localized magnetic field in the O(N) model |
| title_full_unstemmed | Localized magnetic field in the O(N) model |
| title_short | Localized magnetic field in the O(N) model |
| title_sort | localized magnetic field in the o n model |
| work_keys_str_mv | AT cuomog localizedmagneticfieldintheonmodel AT komargodskiz localizedmagneticfieldintheonmodel AT mezeim localizedmagneticfieldintheonmodel |