arXiv Analytics

Sign in

arXiv:0801.4792 [cond-mat.stat-mech]AbstractReferencesReviewsResources

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

Marco Astorino, Fabrizio Canfora, Cristian Martinez, Luca Parisi

Published 2008-01-31, updated 2009-02-20Version 6

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.

Comments: 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
Journal: Phys.Lett.B664:139-144,2008
Related articles: Most relevant | Search more
arXiv:cond-mat/0701154 (Published 2007-01-08)
Kallen-Lehman approach to 3D Ising model
arXiv:0809.1412 [cond-mat.stat-mech] (Published 2008-09-08, updated 2008-11-08)
Fisher zeros in the Kallen-Lehmann approach to 3D Ising model
arXiv:cond-mat/9804186 (Published 1998-04-17)
3D Ising Model with Improved Scaling Behaviour