Abstract
A Kallen–Lehman approach to 3D Ising model is analyzed numerically both at low and high temperatures. 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 Monte Carlo 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 Monte Carlo results by introducing a more general duality breaking is shortly discussed.
Highlights
The three dimensional Ising model ( 3DI) is one of the main open problems in field theory and statistical mechanics
∗marco.astorino AT gmail.com †canfora AT cecs.cl ‡martinez AT cecs.cl §parisi AT sa.infn.it theoretical methods suitable to deal with such a problem manifest deep connections in various areas of physics ranging from quantum information theory to string theory
Besides its intrinsic interest in statistical physics, since the formulation of the Svetitsky-Yaffe conjecture [2], it has been widely recognized its role in describing the deconfinement transition in QCD
Summary
The three dimensional Ising model ( 3DI) is one of the main open problems in field theory and statistical mechanics. Besides its intrinsic interest in statistical physics, since the formulation of the Svetitsky-Yaffe conjecture [2], it has been widely recognized its role in describing the deconfinement transition in QCD For this reason, the 3D Ising model is worth to be further investigated. The 3D Ising model is worth to be further investigated It has been recently proposed [3] to use in statistical mechanics the powerful tools of Regge theory [4, 5] which have been so fruitful in the study of the strong interactions leading to the formulation of the dual models [6] (two detailed reviews are [7] and [8]).
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