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 |
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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