| PREKRAT, Dragan, Dragana RANKOVIĆ, Neli Kristina TODOROVIĆ-VASOVIĆ, Samuel KOVÁČIK a Juraj TEKEL. Phase transitions in a φ4 matrix model on a curved noncommutative space. International Journal of Modern Physics A. World Scientific, 2023, roč. 38, č. 32, s. 1-11. ISSN 0217-751X. Dostupné z: https://dx.doi.org/10.1142/S0217751X23430029. |
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@article{2374677,
author = {Prekrat, Dragan and Ranković, Dragana and TodorovićandVasović, Neli Kristina and Kováčik, Samuel and Tekel, Juraj},
article_number = {32},
doi = {http://dx.doi.org/10.1142/S0217751X23430029},
keywords = {matrix models; Noncommutative geometry; phase transitions},
language = {eng},
issn = {0217-751X},
journal = {International Journal of Modern Physics A},
title = {Phase transitions in a φ4 matrix model on a curved noncommutative space},
url = {https://arxiv.org/abs/2310.10794},
volume = {38},
year = {2023}
}
TY - JOUR
ID - 2374677
AU - Prekrat, Dragan - Ranković, Dragana - Todorović-Vasović, Neli Kristina - Kováčik, Samuel - Tekel, Juraj
PY - 2023
TI - Phase transitions in a φ4 matrix model on a curved noncommutative space
JF - International Journal of Modern Physics A
VL - 38
IS - 32
SP - 1-11
EP - 1-11
PB - World Scientific
SN - 0217751X
KW - matrix models
KW - Noncommutative geometry
KW - phase transitions
UR - https://arxiv.org/abs/2310.10794
N2 - In this contribution, we summarize our recent studies of the phase structure of the Grosse-Wulkenhaar model and its connection to renormalizability. Its action contains a special term that couples the field to the curvature of the noncommutative background space. We first analyze the numerically obtained phase diagram of the model and its three phases: the ordered, the disordered, and the noncommutative stripe phase. Afterward, we discuss the analytical derivation of the effective action and the ordered-to-stripe transition line, and how the obtained expression successfully explains the curvature-induced shift of the triple point compared to the model without curvature. This shift also causes the removal of the stripe phase and makes the model renormalizable.
ER -
PREKRAT, Dragan, Dragana RANKOVI$\backslash$'C, Neli Kristina TODOROVI$\backslash$'C-VASOVI$\backslash$'C, Samuel KOVÁČIK a Juraj TEKEL. Phase transitions in a φ4 matrix model on a curved noncommutative space. \textit{International Journal of Modern Physics A}. World Scientific, 2023, roč.~38, č.~32, s.~1-11. ISSN~0217-751X. Dostupné z: https://dx.doi.org/10.1142/S0217751X23430029.
|
