Detecting scaling in phase transitions on the truncated Heisenberg algebra
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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.
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Matrix Models / Non-Commutative GeometrySource:
Journal of High Energy Physics, 2021, 2021, 3Publisher:
- Springer Science and Business Media Deutschland GmbH
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PharmacyTY - 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 .