Minimal duality breaking in the Kallen-Lehman approach to 3D Ising model: a numerical test
نویسندگان
چکیده
A Kallen-Lehman approach to 3D Ising model is analyzed numerically both at low and high temperature. It is shown that, even assuming a minimal duality breaking, one can fix three parameters of the model to get a very good agreement with the MonteCarlo results at high temperatures. With the same parameters the agreement is satisfactory both at low and near critical temperatures. How to improve the agreement with MonteCarlo results by introducing a more general duality breaking is shortly discussed. Keyword: Regge theory, Ising model, spin glasses. PACS: 12.40.Nn,11.55.Jy, 05.20.-y, 05.70.Fh. CECS-PHY-08/0
منابع مشابه
Fisher zeros in the Kallen-Lehman approach to 3D Ising model
The distribution of the Fisher zeros in the Kallen-Lehman approach to three-dimensional Ising model is studied. It is argued that the presence of a non-trivial angle (a cusp) in the distribution of zeros in the complex temperatures plane near the physical singularity is realized through a strong breaking of the 2D Ising self-duality. Remarkably, the realization of the cusp in the Fisher distrib...
متن کاملKallen-Lehman approach to 3D Ising model
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. Keyword: Regge theory, spin glass...
متن کاملFisher zeros in the Kallen-Lehmann approach to 3D Ising model
The distribution of the Fisher zeros in the Kallen-Lehman approach to three-dimensional Ising model is studied. It is argued that the presence of a non-trivial angle (a cusp) in the distribution of zeros in the complex temperatures plane near the physical singularity is realized through a strong breaking of the 2D Ising self-duality. Remarkably, the realization of the cusp in the Fisher distrib...
متن کاملA non-trivial spectrum for the trivial λφ theory
It is pointed out that one-component φ theory in four dimensions has a non-perturbative sector that can be studied by means of an exact duality transformation of its Ising limit. This duality maps it to a membrane model. As a consequence, the φ-theory turns out to have, in the broken symmetry phase, a remarkably rich spectrum of physical states corresponding to membrane excitations. A numerical...
متن کاملS ep 1 99 9 Effective and asymptotic critical exponents of weakly diluted quenched Ising model : 3 d approach versus √ ε – expansion
Effective and asymptotic critical exponents of weakly diluted quenched Ising model: 3d approach versus √ ε–expansion Abstract We present a field-theoretical treatment of the critical behavior of three-dimensional weakly diluted quenched Ising model. To this end we analyse in a replica limit n → 0 5–loop renormalization group functions of the φ 4 –theory with O(n)– symmetric and cubic interactio...
متن کامل