Abstract
One kind of predictions of conformal field theory for two-dimensional systems are universal relations between scaling amplitudes and scaling dimensions on infinite length cylinders. We discuss different possible generalizations of such laws to three-dimensional geometries. Using cluster update Monte Carlo simulations we investigate the finite-size scaling of the correlation lengths of several three-dimensional classical O(n) spin models. We find that, choosing appropriate geometries or boundary conditions, the two-dimensional situation can be restored.
| Original language | English |
|---|---|
| Pages (from-to) | 382–387 |
| Journal | Computer Physics Communications |
| Volume | 147 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - 2002 |
Bibliographical note
The full text is not available on the repository.Keywords
- Conformal field theory
- O(n) spin models
- Monte Carlo simulations
- Finite-size scaling
- Correlation lengths
Fingerprint Dive into the research topics of 'Numerical tests of CFT conjectures for 3D spin systems'. Together they form a unique fingerprint.
Cite this
Janke, W., & Weigel, M. (2002). Numerical tests of CFT conjectures for 3D spin systems. Computer Physics Communications, 147(1-2), 382–387. https://doi.org/10.1016/S0010-4655(02)00310-7