TY  - CONF
AU  - Tekel, Juraj
AU  - Šubjaková, Mária
AU  - Prekrat, Dragan
AU  - Ranković, Dragana
AU  - Todorović-Vasović, Kristina Neli
AU  - Kováčik, Samuel
PY  - 2023
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/5223
AB  - The UV/IR-mixing phenomenon of non-commutative field theories is manifested by the existence
of a non-local, striped phase in the scalar field theory, where the field does not oscillate around the
same value in the whole space. We will consider modifications of the standard "kinetic term plus
potential" actions for Hermitian matrix models which describe theories free of the UV/IR-mixing
and discuss the expected receding of the striped phase in the phase diagram. We will present
results for the case of the modified theory on the fuzzy sphere and for the truncated Heisenberg
algebra formulation of the Grosse-Wulkenhaar model on the plane.
PB  - Sissa Medialab srl
C3  - Proceedings of Science
T1  - Towards removal of striped phase in matrix model description of fuzzy field theories
VL  - 436
DO  - 10.22323/1.436.0310
ER  - 

@conference{
author = "Tekel, Juraj and Šubjaková, Mária and Prekrat, Dragan and Ranković, Dragana and Todorović-Vasović, Kristina Neli and Kováčik, Samuel",
year = "2023",
abstract = "The UV/IR-mixing phenomenon of non-commutative field theories is manifested by the existence
of a non-local, striped phase in the scalar field theory, where the field does not oscillate around the
same value in the whole space. We will consider modifications of the standard "kinetic term plus
potential" actions for Hermitian matrix models which describe theories free of the UV/IR-mixing
and discuss the expected receding of the striped phase in the phase diagram. We will present
results for the case of the modified theory on the fuzzy sphere and for the truncated Heisenberg
algebra formulation of the Grosse-Wulkenhaar model on the plane.",
publisher = "Sissa Medialab srl",
journal = "Proceedings of Science",
title = "Towards removal of striped phase in matrix model description of fuzzy field theories",
volume = "436",
doi = "10.22323/1.436.0310"
}

Tekel, J., Šubjaková, M., Prekrat, D., Ranković, D., Todorović-Vasović, K. N.,& Kováčik, S.. (2023). Towards removal of striped phase in matrix model description of fuzzy field theories. in Proceedings of Science
Sissa Medialab srl., 436.
https://doi.org/10.22323/1.436.0310

Tekel J, Šubjaková M, Prekrat D, Ranković D, Todorović-Vasović KN, Kováčik S. Towards removal of striped phase in matrix model description of fuzzy field theories. in Proceedings of Science. 2023;436.
doi:10.22323/1.436.0310 .

Tekel, Juraj, Šubjaková, Mária, Prekrat, Dragan, Ranković, Dragana, Todorović-Vasović, Kristina Neli, Kováčik, Samuel, "Towards removal of striped phase in matrix model description of fuzzy field theories" in Proceedings of Science, 436 (2023),
https://doi.org/10.22323/1.436.0310 . .

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 . .