Percolation and magnetization for generalized continuous spin models
Jul, 200013 pages
Published in:
- Nucl.Phys.B 598 (2001) 601-611
e-Print:
- hep-lat/0007005 [hep-lat]
Report number:
- BI-TP-2000-21
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Abstract:
For the Ising model, the spin magnetization transition is equivalent to the percolation transition of Fortuin-Kasteleyn clusters. This result remains valid also for the continuous spin Ising model. We show on the basis of numerical simulations that such an equivalence can be generalized to a wider class of theories, including spin distribution functions, longer range interactions and self-interaction terms.Note:
- 13 pages, 4 tables, 12 figures Report-no: BI-TP 2000/21
- lattice field theory
- gauge field theory: SU(2)
- Ising model
- dimension: 2
- dimension: 3
- critical phenomena: percolation
- cluster
- interaction: long-range
- renormalization
- cumulant expansion
References(15)
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