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.

Basic information

Original name

Approximate treatment of noncommutative curvature in quartic matrix model

Authors

PREKRAT, D. (guarantor), D. RANKOVIĆ, N. K. TODOROVIĆ-VASOVIĆ, Samuel KOVÁČIK (703 Slovakia, belonging to the institution) and J. TEKEL

Edition

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

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10300 1.3 Physical sciences

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

URL URL

Impact factor

Impact factor: 5.400 in 2022

RIV identification code

RIV/00216224:14310/23:00130418

Organization unit

Faculty of Science

DOI

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

UT WoS

000920666200002

Keywords in English

Matrix Models; Non-Commutative Geometry; Phase Transitions

Abstract

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 and J. TEKEL. Approximate treatment of noncommutative curvature in quartic matrix model. Journal of High Energy Physics. Springer, 2023, vol. 2023, No 1, p. 1-33. ISSN 1029-8479. Available from: 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 and J. TEKEL. Approximate treatment of noncommutative curvature in quartic matrix model. \textit{Journal of High Energy Physics}. Springer, 2023, vol.~2023, No~1, p.~1-33. ISSN~1029-8479. Available from: https://dx.doi.org/10.1007/JHEP01(2023)109.

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