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.
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