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 . .