Phase transitions in a φ4 matrix model on a curved noncommutative space

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F23%3A00133556" target="_blank" >RIV/00216224:14310/23:00133556 - isvavai.cz</a>
Result on the web
<a href="https://arxiv.org/abs/2310.10794" target="_blank" >https://arxiv.org/abs/2310.10794</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0217751X23430029" target="_blank" >10.1142/S0217751X23430029</a>

Result language
angličtina
Original language name
Phase transitions in a φ4 matrix model on a curved noncommutative space
Original language description
In this contribution, we summarize our recent studies of the phase structure of the Grosse-Wulkenhaar model and its connection to renormalizability. Its action contains a special term that couples the field to the curvature of the noncommutative background space. We first analyze the numerically obtained phase diagram of the model and its three phases: the ordered, the disordered, and the noncommutative stripe phase. Afterward, we discuss the analytical derivation of the effective action and the ordered-to-stripe transition line, and how the obtained expression successfully explains the curvature-induced shift of the triple point compared to the model without curvature. This shift also causes the removal of the stripe phase and makes the model renormalizable.
Czech name
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Czech description
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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
10308 - Astronomy (including astrophysics,space science)

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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