Kallen-Lehman approach to 3D Ising model
arXiv:cond-mat/0701154 · doi:10.1016/j.physletb.2007.01.011
Abstract
A "Kallen-Lehman" approach to Ising model, inspired by quantum field theory a la Regge, is proposed. The analogy with the Kallen-Lehman representation leads to a formula for the free-energy of the 3D model with few free parameters which could be matched with the numerical data. The possible application of this scheme to the spin glass case is shortly discussed.
13 pages no figures. Accepted for pubblication on Physics Letters B
References in corpus (6)
- Critical Phenomena and Renormalization-Group Theory
- Broken Replica Symmetry Bounds in the Mean Field Spin Glass Model
- The Thermodynamic Limit in Mean Field Spin Glass Models
- Central limit theorem for fluctuations in the high temperature region of the Sherrington-Kirkpatrick spin glass model
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- Regge theory and statistical mechanics
Cited by in corpus (5)
- Potts model on recursive lattices: some new exact results
- Minimal duality breaking in the Kallen-Lehman approach to 3D Ising model: a numerical test
- Fisher zeros in the Kallen-Lehmann approach to 3D Ising model
- Duality and Fisher zeros in the 2D Potts model on square lattice
- Universal Amplitude Ratios in the Ising Model in Three Dimensions