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.
Keywords:
Matrix Models / Non-Commutative Geometry
Source:
Journal of High Energy Physics, 2021, 2021, 3
Publisher:
Springer Science and Business Media Deutschland GmbH
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",
url = "https://farfar.pharmacy.bg.ac.rs/handle/123456789/3814",
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 KN, Ranković D. Detecting scaling in phase transitions on the truncated Heisenberg algebra. Journal of High Energy Physics. 2021;2021(3)
Prekrat, D., Todorović-Vasović, K. N.,& Ranković, D. (2021). Detecting scaling in phase transitions on the truncated Heisenberg algebra.
Journal of High Energy PhysicsSpringer Science and Business Media Deutschland GmbH., 2021(3).
https://doi.org/10.1007/JHEP03(2021)197
Prekrat Dragan, Todorović-Vasović Kristina Neli, Ranković Dragana, "Detecting scaling in phase transitions on the truncated Heisenberg algebra" 2021, no. 3 (2021),
https://doi.org/10.1007/JHEP03(2021)197 .
