Ising spins on a gravitating sphere
Nov, 199513 pages
Published in:
- Phys.Lett.B 375 (1996) 69-74
e-Print:
- hep-lat/9512002 [hep-lat]
Report number:
- FUB-HEP-18-95,
- KOMA-95-81
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Abstract:
We investigated numerically an Ising model coupled to two-dimensional Euclidean gravity with spherical topology, using Regge calculus with the path-integral measure to discretize the gravitational interaction. Previous studies of this system with toroidal topology have shown that the critical behavior of the Ising model remains in the flat-space Onsager universality class, contrary to the predictions of conformal field theory and matrix models. Implementing the spherical topology as triangulated surfaces of three-dimensional cubes, we find again strong evidence that the critical exponents of the Ising transition are consistent with the Onsager values, and that KPZ exponents are definitely excluded.- 02.70Lq
- 04.60+n
- Regge Calculus
- 2D Quantum Gravity
- Ising Spins
- Ising model
- quantum gravity: Euclidean
- dimension: 2
- lattice field theory: sphere
- field theoretical model: Regge
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