Informace o publikaci
Phase transitions in a φ4 matrix model on a curved noncommutative space
| Autoři | |
|---|---|
| Rok publikování | 2023 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | International Journal of Modern Physics A |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | |
| Doi | http://dx.doi.org/10.1142/S0217751X23430029 |
| Klíčová slova | matrix models; Noncommutative geometry; phase transitions |
| Popis | 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. |