Phase transitions in a $\Phi^4$ matrix model on a curved noncommutative space
| Autor: | Prekrat, Dragan, Ranković, Dragana, Todorović-Vasović, Neli Kristina, Kováčik, Samuel, Tekel, Juraj |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/S0217751X23430029 |
| 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. Comment: COST Action CA18108: Workshop on theoretical aspects of quantum gravity, 1-3 September 2022, Belgrade |
| Databáze: | arXiv |
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