Approximate treatment of noncommutative curvature in quartic
matrix model

J 2023

Approximate treatment of noncommutative curvature in quartic matrix model

PREKRAT, D., D. RANKOVIĆ, N. K. TODOROVIĆ-VASOVIĆ, Samuel KOVÁČIK, J. TEKEL et. al.

Základní údaje

Originální název

Approximate treatment of noncommutative curvature in quartic matrix model

Autoři

PREKRAT, D. (garant), D. RANKOVIĆ, N. K. TODOROVIĆ-VASOVIĆ, Samuel KOVÁČIK (703 Slovensko, domácí) a J. TEKEL

Vydání

Journal of High Energy Physics, Springer, 2023, 1029-8479

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10300 1.3 Physical sciences

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL URL

Impakt faktor

Impact factor: 5.400 v roce 2022

Kód RIV

RIV/00216224:14310/23:00130418

Organizační jednotka

Přírodovědecká fakulta

DOI

http://dx.doi.org/10.1007/JHEP01(2023)109

UT WoS

000920666200002

Klíčová slova anglicky

Matrix Models; Non-Commutative Geometry; Phase Transitions

Štítky

rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 3. 4. 2024 11:14, Mgr. Michal Petr

Anotace

V originále

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.

Citovat

PREKRAT, D., D. RANKOVIĆ, N. K. TODOROVIĆ-VASOVIĆ, Samuel KOVÁČIK a J. TEKEL. Approximate treatment of noncommutative curvature in quartic matrix model. Journal of High Energy Physics. Springer, 2023, roč. 2023, č. 1, s. 1-33. ISSN 1029-8479. Dostupné z: https://dx.doi.org/10.1007/JHEP01(2023)109.

@article{2265457,
   author = {Prekrat, D. and Ranković, D. and TodorovićandVasović, N. K. and Kováčik, Samuel and Tekel, J.},
   article_number = {1},
   doi = {http://dx.doi.org/10.1007/JHEP01(2023)109},
   keywords = {Matrix Models; Non-Commutative Geometry; Phase Transitions},
   language = {eng},
   issn = {1029-8479},
   journal = {Journal of High Energy Physics},
   title = {Approximate treatment of noncommutative curvature in quartic matrix model},
   url = {https://doi.org/10.1007/JHEP01(2023)109},
   volume = {2023},
   year = {2023}
}

TY  - JOUR
ID  - 2265457
AU  - Prekrat, D. - Ranković, D. - Todorović-Vasović, N. K. - Kováčik, Samuel - Tekel, J.
PY  - 2023
TI  - Approximate treatment of noncommutative curvature in quartic matrix model
JF  - Journal of High Energy Physics
VL  - 2023
IS  - 1
SP  - 1-33
EP  - 1-33
PB  - Springer
SN  - 10298479
KW  - Matrix Models
KW  - Non-Commutative Geometry
KW  - Phase Transitions
UR  - https://doi.org/10.1007/JHEP01(2023)109
N2  - 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.
ER  -

PREKRAT, D., D. RANKOVI$\backslash$'C, N. K. TODOROVI$\backslash$'C-VASOVI$\backslash$'C, Samuel KOVÁČIK a J. TEKEL. Approximate treatment of noncommutative curvature in quartic matrix model. \textit{Journal of High Energy Physics}. Springer, 2023, roč.~2023, č.~1, s.~1-33. ISSN~1029-8479. Dostupné z: https://dx.doi.org/10.1007/JHEP01(2023)109.

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