Second moment fuzzy-field-theory-like matrix models

Second moment fuzzy-field-theory-like matrix models

Abstract We solve a multitrace matrix model approximating the real quartic scalar field theory on the fuzzy sphere and obtain its phase diagram. We generalize this method to models with modified kinetic terms and demonstrate its use by investigating models related to the removal of the UV/IR mixing....

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Main Authors: Mária Šubjaková, Juraj Tekel
Format: Article
Language:English
Published: SpringerOpen 2020-06-01
Series:Journal of High Energy Physics
Subjects:
Matrix Models
Non-Commutative Geometry
Online Access:http://link.springer.com/article/10.1007/JHEP06(2020)088
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spelling doaj-b1203802e44d4867bfe420c38d5018e82020-11-25T02:59:13ZengSpringerOpenJournal of High Energy Physics1029-84792020-06-012020612310.1007/JHEP06(2020)088Second moment fuzzy-field-theory-like matrix modelsMária Šubjaková0Juraj Tekel1Department of Theoretical Physics, Faculty of Mathematics, Physics and Informatics, Comenius UniversityDepartment of Theoretical Physics, Faculty of Mathematics, Physics and Informatics, Comenius UniversityAbstract We solve a multitrace matrix model approximating the real quartic scalar field theory on the fuzzy sphere and obtain its phase diagram. We generalize this method to models with modified kinetic terms and demonstrate its use by investigating models related to the removal of the UV/IR mixing. We show that for the fuzzy sphere a modification of the kinetic part of the action by higher derivative term can change the phase diagram of the theory such that the triple point moves further from the origin.http://link.springer.com/article/10.1007/JHEP06(2020)088Matrix ModelsNon-Commutative Geometry
collection DOAJ
language English
format Article
sources DOAJ
author Mária Šubjaková
Juraj Tekel
spellingShingle Mária Šubjaková
Juraj Tekel
Second moment fuzzy-field-theory-like matrix models
Journal of High Energy Physics
Matrix Models
Non-Commutative Geometry
author_facet Mária Šubjaková
Juraj Tekel
author_sort Mária Šubjaková
title Second moment fuzzy-field-theory-like matrix models
title_short Second moment fuzzy-field-theory-like matrix models
title_full Second moment fuzzy-field-theory-like matrix models
title_fullStr Second moment fuzzy-field-theory-like matrix models
title_full_unstemmed Second moment fuzzy-field-theory-like matrix models
title_sort second moment fuzzy-field-theory-like matrix models
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2020-06-01
description Abstract We solve a multitrace matrix model approximating the real quartic scalar field theory on the fuzzy sphere and obtain its phase diagram. We generalize this method to models with modified kinetic terms and demonstrate its use by investigating models related to the removal of the UV/IR mixing. We show that for the fuzzy sphere a modification of the kinetic part of the action by higher derivative term can change the phase diagram of the theory such that the triple point moves further from the origin.
topic Matrix Models
Non-Commutative Geometry
url http://link.springer.com/article/10.1007/JHEP06(2020)088
work_keys_str_mv AT mariasubjakova secondmomentfuzzyfieldtheorylikematrixmodels
AT jurajtekel secondmomentfuzzyfieldtheorylikematrixmodels
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