TY  - JOUR
AU  - Prekrat, Dragan
AU  - Todorović-Vasović, Kristina Neli
AU  - Vasović, Nebojša
AU  - Kostić, Srđan
PY  - 2024
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/5561
AB  - In the present paper, we investigate the effect of the initial conditions on the dynamics of the spring-block landslide model. The time evolution of the studied model, which is governed by a system of stochastic delay differential equations, is analyzed in the mean-field approximation, which qualitatively exhibits the same dynamics as the initial model. The results of the numerical analysis show that changing the initial conditions has different effects in different parts of the parameter space of the model. Namely, moving away from the fixed-point initial conditions has a stabilizing effect on the dynamics when the noise, the friction parameters a (higher values) and c as well as the spring stiffness k are taken into account. The stabilization manifests itself in a complete suppression of the unstable dynamics or a partial limitation of the effect of some friction parameters. On the other hand, the destabilizing effect of changing the initial conditions occurs for the lower values of the friction parameters a and for b. The main feature of destabilization is the complete suppression of the sliding regime or a larger parameter range with a transient oscillatory regime. Our approach underlines the importance of analyzing the influence of initial conditions on landslide dynamics.
PB  - Frontiers Media
T2  - Frontiers in Earth Science
T1  - Complex global dynamics of conditionally stable slopes: effect of initial conditions
VL  - 12
DO  - 10.3389/feart.2024.1374942
ER  - 

@article{
author = "Prekrat, Dragan and Todorović-Vasović, Kristina Neli and Vasović, Nebojša and Kostić, Srđan",
year = "2024",
abstract = "In the present paper, we investigate the effect of the initial conditions on the dynamics of the spring-block landslide model. The time evolution of the studied model, which is governed by a system of stochastic delay differential equations, is analyzed in the mean-field approximation, which qualitatively exhibits the same dynamics as the initial model. The results of the numerical analysis show that changing the initial conditions has different effects in different parts of the parameter space of the model. Namely, moving away from the fixed-point initial conditions has a stabilizing effect on the dynamics when the noise, the friction parameters a (higher values) and c as well as the spring stiffness k are taken into account. The stabilization manifests itself in a complete suppression of the unstable dynamics or a partial limitation of the effect of some friction parameters. On the other hand, the destabilizing effect of changing the initial conditions occurs for the lower values of the friction parameters a and for b. The main feature of destabilization is the complete suppression of the sliding regime or a larger parameter range with a transient oscillatory regime. Our approach underlines the importance of analyzing the influence of initial conditions on landslide dynamics.",
publisher = "Frontiers Media",
journal = "Frontiers in Earth Science",
title = "Complex global dynamics of conditionally stable slopes: effect of initial conditions",
volume = "12",
doi = "10.3389/feart.2024.1374942"
}

Prekrat, D., Todorović-Vasović, K. N., Vasović, N.,& Kostić, S.. (2024). Complex global dynamics of conditionally stable slopes: effect of initial conditions. in Frontiers in Earth Science
Frontiers Media., 12.
https://doi.org/10.3389/feart.2024.1374942

Prekrat D, Todorović-Vasović KN, Vasović N, Kostić S. Complex global dynamics of conditionally stable slopes: effect of initial conditions. in Frontiers in Earth Science. 2024;12.
doi:10.3389/feart.2024.1374942 .

Prekrat, Dragan, Todorović-Vasović, Kristina Neli, Vasović, Nebojša, Kostić, Srđan, "Complex global dynamics of conditionally stable slopes: effect of initial conditions" in Frontiers in Earth Science, 12 (2024),
https://doi.org/10.3389/feart.2024.1374942 . .

TY  - DATA
AU  - Prekrat, Dragan
AU  - Todorović-Vasović, Kristina Neli
AU  - Vasović, Nebojša
AU  - Kostić, Srđan
PY  - 2024
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/5562
AB  - In the present paper, we investigate the effect of the initial conditions on the dynamics of the spring-block landslide model. The time evolution of the studied model, which is governed by a system of stochastic delay differential equations, is analyzed in the mean-field approximation, which qualitatively exhibits the same dynamics as the initial model. The results of the numerical analysis show that changing the initial conditions has different effects in different parts of the parameter space of the model. Namely, moving away from the fixed-point initial conditions has a stabilizing effect on the dynamics when the noise, the friction parameters a (higher values) and c as well as the spring stiffness k are taken into account. The stabilization manifests itself in a complete suppression of the unstable dynamics or a partial limitation of the effect of some friction parameters. On the other hand, the destabilizing effect of changing the initial conditions occurs for the lower values of the friction parameters a and for b. The main feature of destabilization is the complete suppression of the sliding regime or a larger parameter range with a transient oscillatory regime. Our approach underlines the importance of analyzing the influence of initial conditions on landslide dynamics.
PB  - Frontiers Media
T2  - Frontiers in Earth Science
T1  - Supplementary material for: Prekrat, D., Todorović-Vasović, K. N., Vasović, N.,& Kostić, S.. (2024). Complex global dynamics of conditionally stable slopes: effect of initial conditions. in Frontiers in Earth Science
Frontiers Media., 12 - 2024 https://doi.org/10.3389/feart.2024.1374942
VL  - 12
UR  - https://hdl.handle.net/21.15107/rcub_farfar_5562
ER  - 

@misc{
author = "Prekrat, Dragan and Todorović-Vasović, Kristina Neli and Vasović, Nebojša and Kostić, Srđan",
year = "2024",
abstract = "In the present paper, we investigate the effect of the initial conditions on the dynamics of the spring-block landslide model. The time evolution of the studied model, which is governed by a system of stochastic delay differential equations, is analyzed in the mean-field approximation, which qualitatively exhibits the same dynamics as the initial model. The results of the numerical analysis show that changing the initial conditions has different effects in different parts of the parameter space of the model. Namely, moving away from the fixed-point initial conditions has a stabilizing effect on the dynamics when the noise, the friction parameters a (higher values) and c as well as the spring stiffness k are taken into account. The stabilization manifests itself in a complete suppression of the unstable dynamics or a partial limitation of the effect of some friction parameters. On the other hand, the destabilizing effect of changing the initial conditions occurs for the lower values of the friction parameters a and for b. The main feature of destabilization is the complete suppression of the sliding regime or a larger parameter range with a transient oscillatory regime. Our approach underlines the importance of analyzing the influence of initial conditions on landslide dynamics.",
publisher = "Frontiers Media",
journal = "Frontiers in Earth Science",
title = "Supplementary material for: Prekrat, D., Todorović-Vasović, K. N., Vasović, N.,& Kostić, S.. (2024). Complex global dynamics of conditionally stable slopes: effect of initial conditions. in Frontiers in Earth Science
Frontiers Media., 12 - 2024 https://doi.org/10.3389/feart.2024.1374942",
volume = "12",
url = "https://hdl.handle.net/21.15107/rcub_farfar_5562"
}

Prekrat, D., Todorović-Vasović, K. N., Vasović, N.,& Kostić, S.. (2024). Supplementary material for: Prekrat, D., Todorović-Vasović, K. N., Vasović, N.,& Kostić, S.. (2024). Complex global dynamics of conditionally stable slopes: effect of initial conditions. in Frontiers in Earth Science
Frontiers Media., 12 - 2024 https://doi.org/10.3389/feart.2024.1374942. in Frontiers in Earth Science
Frontiers Media., 12.
https://hdl.handle.net/21.15107/rcub_farfar_5562

Prekrat D, Todorović-Vasović KN, Vasović N, Kostić S. Supplementary material for: Prekrat, D., Todorović-Vasović, K. N., Vasović, N.,& Kostić, S.. (2024). Complex global dynamics of conditionally stable slopes: effect of initial conditions. in Frontiers in Earth Science
Frontiers Media., 12 - 2024 https://doi.org/10.3389/feart.2024.1374942. in Frontiers in Earth Science. 2024;12.
https://hdl.handle.net/21.15107/rcub_farfar_5562 .

Prekrat, Dragan, Todorović-Vasović, Kristina Neli, Vasović, Nebojša, Kostić, Srđan, "Supplementary material for: Prekrat, D., Todorović-Vasović, K. N., Vasović, N.,& Kostić, S.. (2024). Complex global dynamics of conditionally stable slopes: effect of initial conditions. in Frontiers in Earth Science
Frontiers Media., 12 - 2024 https://doi.org/10.3389/feart.2024.1374942" in Frontiers in Earth Science, 12 (2024),
https://hdl.handle.net/21.15107/rcub_farfar_5562 .

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  - Kostić, Srđan
AU  - Todorović-Vasović, Kristina Neli
AU  - Lazarević, Žarko
AU  - Prekrat, Dragan
PY  - 2023
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/4936
AB  - We propose a new model for landslide dynamics under the assumption of a delay failure mechanism. Delay failure is simulated as a delayed interaction between adjacent blocks, which mimics the relationship between the accumulation and feeder part of the accumulation slope. The conducted research consisted of three phases. Firstly, the real observed movements of the landslide were examined to exclude the existence or the statistically significant presence of background noise. Secondly, we propose a new mechanical model of an accumulation landslide dynamics, with introduced delay failure, and with variable friction law. Results obtained indicate the onset of a transition from an equilibrium state to an oscillatory regime if delayed failure is assumed for different cases of slope stiffness and state of homogeneity/heterogeneity of the slope. At the end, we examine the influence of different frictional properties (along the sliding surface) on the conditions for the onset of instability. Results obtained indicate that the increase of friction parameters leads to stabilization of sliding for homogeneous geological environment. Moreover, increase of certain friction parameters leads to the occurrence of irregular aperiodic behavior, which could be ascribed to the regime of fast irregular sliding along the slope.
PB  - MDPI
T2  - Entropy
T1  - Friction and Stiffness Dependent Dynamics of Accumulation Landslides with Delayed Failure
VL  - 25
IS  - 7
DO  - 10.3390/e25071109
ER  - 

@article{
author = "Kostić, Srđan and Todorović-Vasović, Kristina Neli and Lazarević, Žarko and Prekrat, Dragan",
year = "2023",
abstract = "We propose a new model for landslide dynamics under the assumption of a delay failure mechanism. Delay failure is simulated as a delayed interaction between adjacent blocks, which mimics the relationship between the accumulation and feeder part of the accumulation slope. The conducted research consisted of three phases. Firstly, the real observed movements of the landslide were examined to exclude the existence or the statistically significant presence of background noise. Secondly, we propose a new mechanical model of an accumulation landslide dynamics, with introduced delay failure, and with variable friction law. Results obtained indicate the onset of a transition from an equilibrium state to an oscillatory regime if delayed failure is assumed for different cases of slope stiffness and state of homogeneity/heterogeneity of the slope. At the end, we examine the influence of different frictional properties (along the sliding surface) on the conditions for the onset of instability. Results obtained indicate that the increase of friction parameters leads to stabilization of sliding for homogeneous geological environment. Moreover, increase of certain friction parameters leads to the occurrence of irregular aperiodic behavior, which could be ascribed to the regime of fast irregular sliding along the slope.",
publisher = "MDPI",
journal = "Entropy",
title = "Friction and Stiffness Dependent Dynamics of Accumulation Landslides with Delayed Failure",
volume = "25",
number = "7",
doi = "10.3390/e25071109"
}

Kostić, S., Todorović-Vasović, K. N., Lazarević, Ž.,& Prekrat, D.. (2023). Friction and Stiffness Dependent Dynamics of Accumulation Landslides with Delayed Failure. in Entropy
MDPI., 25(7).
https://doi.org/10.3390/e25071109

Kostić S, Todorović-Vasović KN, Lazarević Ž, Prekrat D. Friction and Stiffness Dependent Dynamics of Accumulation Landslides with Delayed Failure. in Entropy. 2023;25(7).
doi:10.3390/e25071109 .

Kostić, Srđan, Todorović-Vasović, Kristina Neli, Lazarević, Žarko, Prekrat, Dragan, "Friction and Stiffness Dependent Dynamics of Accumulation Landslides with Delayed Failure" in Entropy, 25, no. 7 (2023),
https://doi.org/10.3390/e25071109 . .

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 . .

TY  - JOUR
AU  - Kostić, Srđan
AU  - Vasović, Nebojša
AU  - Todorović, Kristina
AU  - Prekrat, Dragan
PY  - 2023
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/4734
AB  - In the present paper, we propose a new model for landslide dynamics, in the form of the spring-block mechanical model, with included delayed interaction and the effect of the background seismic noise. The introduction of the random noise in the model of landslide dynamics is confirmed by the surrogate data testing of the recorded ambient noise within the existing landslide in Serbia. The performed research classified the analyzed recordings as linear stationary stochastic processes with Gaussian inputs. The proposed mechanical model is described in the form of a nonlinear dynamical system: a set of stochastic delay-differential equations. The solution of such a system is enabled by the introduction of mean-field approximation, which resulted in a mean-field approximated model whose dynamics are qualitatively the same as the dynamics of the starting stochastic system. The dynamics of the approximated model are analyzed numerically, with rather unexpected results, implying the positive effect of background noise on landslide dynamics. Particularly, the increase of the noise intensity requires higher values of spring stiffness and displacement delay for the occurrence of bifurcation. This confirms the positive stabilizing effect of the increase in noise intensity on the dynamics of the analyzed landslide model. Present research confirms the significant role of noise in landslides near the bifurcation point (e.g., creeping landslides).
PB  - MDPI
T2  - Applied Sciences
T1  - Instability Induced by Random Background Noise in a Delay Model of Landslide Dynamics
VL  - 13
IS  - 10
DO  - 10.3390/app13106112
ER  - 

@article{
author = "Kostić, Srđan and Vasović, Nebojša and Todorović, Kristina and Prekrat, Dragan",
year = "2023",
abstract = "In the present paper, we propose a new model for landslide dynamics, in the form of the spring-block mechanical model, with included delayed interaction and the effect of the background seismic noise. The introduction of the random noise in the model of landslide dynamics is confirmed by the surrogate data testing of the recorded ambient noise within the existing landslide in Serbia. The performed research classified the analyzed recordings as linear stationary stochastic processes with Gaussian inputs. The proposed mechanical model is described in the form of a nonlinear dynamical system: a set of stochastic delay-differential equations. The solution of such a system is enabled by the introduction of mean-field approximation, which resulted in a mean-field approximated model whose dynamics are qualitatively the same as the dynamics of the starting stochastic system. The dynamics of the approximated model are analyzed numerically, with rather unexpected results, implying the positive effect of background noise on landslide dynamics. Particularly, the increase of the noise intensity requires higher values of spring stiffness and displacement delay for the occurrence of bifurcation. This confirms the positive stabilizing effect of the increase in noise intensity on the dynamics of the analyzed landslide model. Present research confirms the significant role of noise in landslides near the bifurcation point (e.g., creeping landslides).",
publisher = "MDPI",
journal = "Applied Sciences",
title = "Instability Induced by Random Background Noise in a Delay Model of Landslide Dynamics",
volume = "13",
number = "10",
doi = "10.3390/app13106112"
}

Kostić, S., Vasović, N., Todorović, K.,& Prekrat, D.. (2023). Instability Induced by Random Background Noise in a Delay Model of Landslide Dynamics. in Applied Sciences
MDPI., 13(10).
https://doi.org/10.3390/app13106112

Kostić S, Vasović N, Todorović K, Prekrat D. Instability Induced by Random Background Noise in a Delay Model of Landslide Dynamics. in Applied Sciences. 2023;13(10).
doi:10.3390/app13106112 .

Kostić, Srđan, Vasović, Nebojša, Todorović, Kristina, Prekrat, Dragan, "Instability Induced by Random Background Noise in a Delay Model of Landslide Dynamics" in Applied Sciences, 13, no. 10 (2023),
https://doi.org/10.3390/app13106112 . .

TY  - JOUR
AU  - Prekrat, Dragan
AU  - Todorović-Vasović, Kristina Neli
AU  - Ranković, Dragana
PY  - 2021
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/3814
AB  - We construct and analyze a phase diagram of a self-interacting matrix field coupled to curvature of the non-commutative truncated Heisenberg space. The model reduces to the renormalizable Grosse-Wulkenhaar model in an infinite matrix size limit and exhibits a purely non-commutative non-uniformly ordered phase. Particular attention is given to scaling of model’s parameters. We additionally provide the infinite matrix size limit for the disordered to ordered phase transition line.
PB  - Springer Science and Business Media Deutschland GmbH
T2  - Journal of High Energy Physics
T1  - Detecting scaling in phase transitions on the truncated Heisenberg algebra
VL  - 2021
IS  - 3
DO  - 10.1007/JHEP03(2021)197
ER  - 

@article{
author = "Prekrat, Dragan and Todorović-Vasović, Kristina Neli and Ranković, Dragana",
year = "2021",
abstract = "We construct and analyze a phase diagram of a self-interacting matrix field coupled to curvature of the non-commutative truncated Heisenberg space. The model reduces to the renormalizable Grosse-Wulkenhaar model in an infinite matrix size limit and exhibits a purely non-commutative non-uniformly ordered phase. Particular attention is given to scaling of model’s parameters. We additionally provide the infinite matrix size limit for the disordered to ordered phase transition line.",
publisher = "Springer Science and Business Media Deutschland GmbH",
journal = "Journal of High Energy Physics",
title = "Detecting scaling in phase transitions on the truncated Heisenberg algebra",
volume = "2021",
number = "3",
doi = "10.1007/JHEP03(2021)197"
}

Prekrat, D., Todorović-Vasović, K. N.,& Ranković, D.. (2021). Detecting scaling in phase transitions on the truncated Heisenberg algebra. in Journal of High Energy Physics
Springer Science and Business Media Deutschland GmbH., 2021(3).
https://doi.org/10.1007/JHEP03(2021)197

Prekrat D, Todorović-Vasović KN, Ranković D. Detecting scaling in phase transitions on the truncated Heisenberg algebra. in Journal of High Energy Physics. 2021;2021(3).
doi:10.1007/JHEP03(2021)197 .

Prekrat, Dragan, Todorović-Vasović, Kristina Neli, Ranković, Dragana, "Detecting scaling in phase transitions on the truncated Heisenberg algebra" in Journal of High Energy Physics, 2021, no. 3 (2021),
https://doi.org/10.1007/JHEP03(2021)197 . .

TY  - JOUR
AU  - Prekrat, Dragan
PY  - 2021
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/4726
AB  - We construct and analyze the phase diagram of a self-interacting matrix field in two dimensions coupled to the curvature of the noncommutative truncated Heisenberg space. In the infinite size limit, the model reduces to the renormalizable Grosse-Wulkenhaar model. The curvature term proves crucial for the diagram’s structure. When turned off, the triple point collapses into the origin as matrices grow larger; when turned on, the triple point recedes from the origin proportionally to the coupling strength and the matrix size. The coupling attenuation that turns the Grosse-Wulkenhaar model into a renormalizable version of the φ4⋆ model cannot stop the triple point recession. As a result, the stripe phase escapes to infinity, removing the problems with UV/IR mixing.
PB  - American Physical Society
T2  - Physical Review D
T1  - Renormalization footprints in the phase diagram of the Grosse-Wulkenhaar model
VL  - 104
IS  - 11
DO  - 10.1103/PhysRevD.104.114505
ER  - 

@article{
author = "Prekrat, Dragan",
year = "2021",
abstract = "We construct and analyze the phase diagram of a self-interacting matrix field in two dimensions coupled to the curvature of the noncommutative truncated Heisenberg space. In the infinite size limit, the model reduces to the renormalizable Grosse-Wulkenhaar model. The curvature term proves crucial for the diagram’s structure. When turned off, the triple point collapses into the origin as matrices grow larger; when turned on, the triple point recedes from the origin proportionally to the coupling strength and the matrix size. The coupling attenuation that turns the Grosse-Wulkenhaar model into a renormalizable version of the φ4⋆ model cannot stop the triple point recession. As a result, the stripe phase escapes to infinity, removing the problems with UV/IR mixing.",
publisher = "American Physical Society",
journal = "Physical Review D",
title = "Renormalization footprints in the phase diagram of the Grosse-Wulkenhaar model",
volume = "104",
number = "11",
doi = "10.1103/PhysRevD.104.114505"
}

Prekrat, D.. (2021). Renormalization footprints in the phase diagram of the Grosse-Wulkenhaar model. in Physical Review D
American Physical Society., 104(11).
https://doi.org/10.1103/PhysRevD.104.114505

Prekrat D. Renormalization footprints in the phase diagram of the Grosse-Wulkenhaar model. in Physical Review D. 2021;104(11).
doi:10.1103/PhysRevD.104.114505 .

Prekrat, Dragan, "Renormalization footprints in the phase diagram of the Grosse-Wulkenhaar model" in Physical Review D, 104, no. 11 (2021),
https://doi.org/10.1103/PhysRevD.104.114505 . .

TY  - JOUR
AU  - Burić, Maja
AU  - Nenadović, Luka
AU  - Prekrat, Dragan
PY  - 2016
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/4727
AB  - We calculate divergent one-loop corrections to the propagators of the U(1) gauge theory on the truncated Heisenberg space, which is one of the extensions of the Grosse–Wulkenhaar model. The model is purely geometric, based on the Yang–Mills action; the corresponding gauge-fixed theory is BRST invariant. We quantize perturbatively and, along with the usual wave-function and mass renormalizations, we find divergent nonlocal terms of the ◻−1 and ◻−2 type. We discuss the meaning of these terms and possible improvements of the model.
PB  - Springer Nature
T2  - European Physical Journal C
T1  - One-loop structure of the U(1) gauge model on the truncated Heisenberg space
VL  - 76
IS  - 12
DO  - 10.1140/epjc/s10052-016-4522-x
ER  - 

@article{
author = "Burić, Maja and Nenadović, Luka and Prekrat, Dragan",
year = "2016",
abstract = "We calculate divergent one-loop corrections to the propagators of the U(1) gauge theory on the truncated Heisenberg space, which is one of the extensions of the Grosse–Wulkenhaar model. The model is purely geometric, based on the Yang–Mills action; the corresponding gauge-fixed theory is BRST invariant. We quantize perturbatively and, along with the usual wave-function and mass renormalizations, we find divergent nonlocal terms of the ◻−1 and ◻−2 type. We discuss the meaning of these terms and possible improvements of the model.",
publisher = "Springer Nature",
journal = "European Physical Journal C",
title = "One-loop structure of the U(1) gauge model on the truncated Heisenberg space",
volume = "76",
number = "12",
doi = "10.1140/epjc/s10052-016-4522-x"
}

Burić, M., Nenadović, L.,& Prekrat, D.. (2016). One-loop structure of the U(1) gauge model on the truncated Heisenberg space. in European Physical Journal C
Springer Nature., 76(12).
https://doi.org/10.1140/epjc/s10052-016-4522-x

Burić M, Nenadović L, Prekrat D. One-loop structure of the U(1) gauge model on the truncated Heisenberg space. in European Physical Journal C. 2016;76(12).
doi:10.1140/epjc/s10052-016-4522-x .

Burić, Maja, Nenadović, Luka, Prekrat, Dragan, "One-loop structure of the U(1) gauge model on the truncated Heisenberg space" in European Physical Journal C, 76, no. 12 (2016),
https://doi.org/10.1140/epjc/s10052-016-4522-x . .