Approximate treatment of noncommutative curvature in quartic matrix model
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F23%3A00130418" target="_blank" >RIV/00216224:14310/23:00130418 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/JHEP01(2023)109" target="_blank" >https://doi.org/10.1007/JHEP01(2023)109</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/JHEP01(2023)109" target="_blank" >10.1007/JHEP01(2023)109</a>
Alternative languages
Result language
angličtina
Original language name
Approximate treatment of noncommutative curvature in quartic matrix model
Original language description
We study a Hermitian matrix model with the standard quartic potential amended by a tr(RΦ2) term for fixed external matrix R. This is motivated by a curvature term in the truncated Heisenberg algebra formulation of the Grosse-Wulkenhaar model — a renormalizable noncommutative field theory. The extra term breaks the unitary symmetry of the action and leads, after perturbative calculation of the unitary integral, to an effective multitrace matrix model. Accompanying the analytical treatment of this multitrace approximation, we also study the model numerically by Monte Carlo simulations. The phase structure of the model is investigated, and a modified phase diagram is identified. We observe a shift of the transition line between the 1-cut and 2-cut phases of the theory that is consistent with the previous numerical simulations and also with the removal of the noncommutative phase in the Grosse-Wulkenhaar model.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10300 - Physical sciences
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of High Energy Physics
ISSN
1029-8479
e-ISSN
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Volume of the periodical
2023
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
33
Pages from-to
1-33
UT code for WoS article
000920666200002
EID of the result in the Scopus database
2-s2.0-85146570847