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 . .