Duennweber, Gesa and Linsel, Simon M. and Bohrdt, Annabelle and Grusdt, Fabian (2025) Percolation renormalization group analysis of confinement in Z2 lattice gauge theories. PHYSICAL REVIEW B, 111 (2): 024314. ISSN 2469-9950, 2469-9969
Full text not available from this repository.Abstract
The analytical study of confinement in lattice gauge theories (LGTs) remains a difficult task to this day. Taking a geometric perspective on confinement, we develop a real-space renormalization group (RG) formalism for Z(2) LGTs using percolation probability as a confinement order parameter. The RG flow we analyze is constituted by both the percolation probability and the coupling parameters. We consider a classical Z(2) LGT in two dimensions, with matter and thermal fluctuations, and analytically derive the confinement phase diagram. We find good agreement with numerical and exact benchmark results and confirm that a finite matter density enforces confinement at T < infinity in the model we consider. Our RG scheme enables future analytical studies of Z(2) LGTs with matter and quantum fluctuations and beyond.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | REAL-SPACE RENORMALIZATION; QUARK CONFINEMENT; BOND PERCOLATION; SITE; PROBABILITIES; STATES; ORDER; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 20 Apr 2026 06:50 |
| Last Modified: | 20 Apr 2026 06:50 |
| URI: | https://pred.uni-regensburg.de/id/eprint/67638 |
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