Failure of the large-N expansion in a bosonic tensor model

Abstract We study the tensor model generalization of the quantum p-spherical model in the large-N limit. While the tensor model has the same large-N expansion as the disordered quantum p-spherical model, its ground state is superextensive, in contradiction with large-N perturbation theory. Therefore...

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Main Authors: Aidan Herderschee, Michael Winer
Format: Article
Language:English
Published: SpringerOpen 2025-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP05(2025)141
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author Aidan Herderschee
Michael Winer
author_facet Aidan Herderschee
Michael Winer
author_sort Aidan Herderschee
collection DOAJ
description Abstract We study the tensor model generalization of the quantum p-spherical model in the large-N limit. While the tensor model has the same large-N expansion as the disordered quantum p-spherical model, its ground state is superextensive, in contradiction with large-N perturbation theory. Therefore, the large-N expansion of this model catastrophically fails at arbitrarily large-N, without any obvious signal in perturbation theory.
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institution Kabale University
issn 1029-8479
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publishDate 2025-05-01
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series Journal of High Energy Physics
spelling doaj-art-f6730a0ae2f3418fade67ba18c4ff7d02025-08-20T03:25:15ZengSpringerOpenJournal of High Energy Physics1029-84792025-05-012025511210.1007/JHEP05(2025)141Failure of the large-N expansion in a bosonic tensor modelAidan Herderschee0Michael Winer1Institute for Advanced StudyInstitute for Advanced StudyAbstract We study the tensor model generalization of the quantum p-spherical model in the large-N limit. While the tensor model has the same large-N expansion as the disordered quantum p-spherical model, its ground state is superextensive, in contradiction with large-N perturbation theory. Therefore, the large-N expansion of this model catastrophically fails at arbitrarily large-N, without any obvious signal in perturbation theory.https://doi.org/10.1007/JHEP05(2025)1411/N ExpansionMatrix ModelsSigma Models
spellingShingle Aidan Herderschee
Michael Winer
Failure of the large-N expansion in a bosonic tensor model
Journal of High Energy Physics
1/N Expansion
Matrix Models
Sigma Models
title Failure of the large-N expansion in a bosonic tensor model
title_full Failure of the large-N expansion in a bosonic tensor model
title_fullStr Failure of the large-N expansion in a bosonic tensor model
title_full_unstemmed Failure of the large-N expansion in a bosonic tensor model
title_short Failure of the large-N expansion in a bosonic tensor model
title_sort failure of the large n expansion in a bosonic tensor model
topic 1/N Expansion
Matrix Models
Sigma Models
url https://doi.org/10.1007/JHEP05(2025)141
work_keys_str_mv AT aidanherderschee failureofthelargenexpansioninabosonictensormodel
AT michaelwiner failureofthelargenexpansioninabosonictensormodel