Minimal duality breaking in the Kallen-Lehman approach to 3D Ising model: a numerical test

Abstract

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.

15 pages, 3 figures; accepted for publication on PHYSICS LETTERS B; typos corrected in Eqs. (21) and (28); numerical results improved; references and clarifying comments added including the discussion of the behavior near the critical point; v6: acknowledgements added

References in corpus (3)

• Broken Replica Symmetry Bounds in the Mean Field Spin Glass Model
• Kallen-Lehman approach to 3D Ising model
• The Ising model and planar N=4 Yang-Mills

Cited by in corpus (1)

• Fisher zeros in the Kallen-Lehmann approach to 3D Ising model