Back to Search
Start Over
Phase transitions in a Φ4 matrix model on a curved noncommutative space.
- Source :
-
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics . 11/20/2023, Vol. 38 Issue 32, p1-11. 11p. - Publication Year :
- 2023
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0217751X
- Volume :
- 38
- Issue :
- 32
- Database :
- Academic Search Index
- Journal :
- International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics
- Publication Type :
- Academic Journal
- Accession number :
- 175168118
- Full Text :
- https://doi.org/10.1142/S0217751X23430029