TY  - JOUR
AU  - Prekrat, Dragan
AU  - Ranković, Dragana
AU  - Todorović-Vasović, Kristina Neli
AU  - Kováčik, Samuel
AU  - Tekel, Juraj
PY  - 2023
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/4421
AB  - 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.
PB  - Springer Science and Business Media Deutschland GmbH
T2  - Journal of High Energy Physics
T1  - Approximate treatment of noncommutative curvature in quartic matrix model
IS  - 1
DO  - 10.1007/JHEP01(2023)109
ER  - 

@article{
author = "Prekrat, Dragan and Ranković, Dragana and Todorović-Vasović, Kristina Neli and Kováčik, Samuel and Tekel, Juraj",
year = "2023",
abstract = "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.",
publisher = "Springer Science and Business Media Deutschland GmbH",
journal = "Journal of High Energy Physics",
title = "Approximate treatment of noncommutative curvature in quartic matrix model",
number = "1",
doi = "10.1007/JHEP01(2023)109"
}

Prekrat, D., Ranković, D., Todorović-Vasović, K. N., Kováčik, S.,& Tekel, J.. (2023). Approximate treatment of noncommutative curvature in quartic matrix model. in Journal of High Energy Physics
Springer Science and Business Media Deutschland GmbH.(1).
https://doi.org/10.1007/JHEP01(2023)109

Prekrat D, Ranković D, Todorović-Vasović KN, Kováčik S, Tekel J. Approximate treatment of noncommutative curvature in quartic matrix model. in Journal of High Energy Physics. 2023;(1).
doi:10.1007/JHEP01(2023)109 .

Prekrat, Dragan, Ranković, Dragana, Todorović-Vasović, Kristina Neli, Kováčik, Samuel, Tekel, Juraj, "Approximate treatment of noncommutative curvature in quartic matrix model" in Journal of High Energy Physics, no. 1 (2023),
https://doi.org/10.1007/JHEP01(2023)109 . .