The epsilon expansion of the O(N) model with line defect from conformal field theory
Abstract We employ the axiomatic framework of Rychkov and Tan to investigate the critical O(N) vector model with a line defect in (4 − ϵ) dimensions. We assume the fixed point is described by defect conformal field theory and show that the critical value of the defect coupling to the bulk field is u...
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Format: | Article |
Language: | English |
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SpringerOpen
2023-03-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP03(2023)203 |
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author | Tatsuma Nishioka Yoshitaka Okuyama Soichiro Shimamori |
author_facet | Tatsuma Nishioka Yoshitaka Okuyama Soichiro Shimamori |
author_sort | Tatsuma Nishioka |
collection | DOAJ |
description | Abstract We employ the axiomatic framework of Rychkov and Tan to investigate the critical O(N) vector model with a line defect in (4 − ϵ) dimensions. We assume the fixed point is described by defect conformal field theory and show that the critical value of the defect coupling to the bulk field is uniquely fixed without resorting to diagrammatic calculations. We also study various defect localized operators by the axiomatic method, where the analyticity of correlation functions plays a crucial role in determining the conformal dimensions of defect composite operators. In all cases, including operators with operator mixing, we reproduce the leading anomalous dimensions obtained by perturbative calculations. |
first_indexed | 2024-03-13T03:24:59Z |
format | Article |
id | doaj.art-2bde12a79da84ef8805a7db391c9fec7 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-03-13T03:24:59Z |
publishDate | 2023-03-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj.art-2bde12a79da84ef8805a7db391c9fec72023-06-25T11:06:07ZengSpringerOpenJournal of High Energy Physics1029-84792023-03-012023312810.1007/JHEP03(2023)203The epsilon expansion of the O(N) model with line defect from conformal field theoryTatsuma Nishioka0Yoshitaka Okuyama1Soichiro Shimamori2Department of Physics, Osaka UniversityDepartment of Physics, Osaka UniversityDepartment of Physics, Osaka UniversityAbstract We employ the axiomatic framework of Rychkov and Tan to investigate the critical O(N) vector model with a line defect in (4 − ϵ) dimensions. We assume the fixed point is described by defect conformal field theory and show that the critical value of the defect coupling to the bulk field is uniquely fixed without resorting to diagrammatic calculations. We also study various defect localized operators by the axiomatic method, where the analyticity of correlation functions plays a crucial role in determining the conformal dimensions of defect composite operators. In all cases, including operators with operator mixing, we reproduce the leading anomalous dimensions obtained by perturbative calculations.https://doi.org/10.1007/JHEP03(2023)203Renormalization GroupScale and Conformal Symmetries |
spellingShingle | Tatsuma Nishioka Yoshitaka Okuyama Soichiro Shimamori The epsilon expansion of the O(N) model with line defect from conformal field theory Journal of High Energy Physics Renormalization Group Scale and Conformal Symmetries |
title | The epsilon expansion of the O(N) model with line defect from conformal field theory |
title_full | The epsilon expansion of the O(N) model with line defect from conformal field theory |
title_fullStr | The epsilon expansion of the O(N) model with line defect from conformal field theory |
title_full_unstemmed | The epsilon expansion of the O(N) model with line defect from conformal field theory |
title_short | The epsilon expansion of the O(N) model with line defect from conformal field theory |
title_sort | epsilon expansion of the o n model with line defect from conformal field theory |
topic | Renormalization Group Scale and Conformal Symmetries |
url | https://doi.org/10.1007/JHEP03(2023)203 |
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