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Comment on “The phase diagram of the multi-matrix model with ABAB-interaction from functional renormalization”

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cris.lastimport.scopus2024-02-12T20:04:43Z
dc.abstract.enRecently, [JHEP \textbf{20} 131 (2020)] obtained (a similar, scaled version of) the ($a,b$)-phase diagram derived from the Kazakov--Zinn-Justin solution of the Hermitian two-matrix model with interactions \[-\Tr\Big\{\frac{a}{4} (A^4+B^4)+\frac{b}{2} ABAB\Big\}\,,\] starting from Functional Renormalization. We comment on something unexpected: the phase diagram of [JHEP \textbf{20} 131 (2020)] is based on a $\beta_b$-function that does not have the one-loop structure of the Wetterich-Morris Equation. This raises the question of how to reproduce the phase diagram from a set of $\beta$-functions that is, in its totality, consistent with Functional Renormalization. A non-minimalist, yet simple truncation that could lead to the phase diagram is provided. Additionally, we identify the ensemble for which the result of \textit{op. cit.} would be entirely correct.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorSanchez, Carlos Ignacio Perez
dc.date.accessioned2024-01-24T19:49:59Z
dc.date.available2024-01-24T19:49:59Z
dc.date.copyright2021-07-08
dc.date.issued2021
dc.description.accesstimeAT_PUBLICATION
dc.description.financePublikacja bezkosztowa
dc.description.number7
dc.description.versionORIGINAL_AUTHOR
dc.description.volume2021
dc.identifier.doi10.1007/JHEP07(2021)042
dc.identifier.issn2214-4048
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/103315
dc.identifier.weblinkhttps://link.springer.com/content/pdf/10.1007/JHEP07(2021)042.pdf
dc.languageeng
dc.pbn.affiliationphysical sciences
dc.relation.ispartofJournal of High Energy Astrophysics
dc.rightsCC-BY
dc.sciencecloudnosend
dc.subject.plMatrix Models
dc.subject.plRenormalization Group
dc.subject.plModele Macierzowe
dc.subject.plGrupa Renormalizacji
dc.titleComment on “The phase diagram of the multi-matrix model with ABAB-interaction from functional renormalization”
dc.typeJournalArticle
dspace.entity.typePublication