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- Title
Phase transitions in a Φ4 matrix model on a curved noncommutative space.
- Authors
Prekrat, Dragan; Ranković, Dragana; Todorović-Vasović, Neli Kristina; Kováčik, Samuel; Tekel, Juraj
- Abstract
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.
- Subjects
PHASE transitions; PHASE diagrams; MATRICES (Mathematics); CURVATURE; NONCOMMUTATIVE algebras; STRIPES
- Publication
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2023, Vol 38, Issue 32, p1
- ISSN
0217-751X
- Publication type
Article
- DOI
10.1142/S0217751X23430029