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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Main Authors: Tatsuma Nishioka, Yoshitaka Okuyama, Soichiro Shimamori
Format: Article
Language:English
Published: SpringerOpen 2023-03-01
Series:Journal of High Energy Physics
Subjects:
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.
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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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