On Kadanoff's approximate renormalization group transformation

H.J.F. Knops

Physica A: Statistical Mechanics and its Applications, 1977, vol. 86, issue 2, 448-456

Abstract: The fixed point structure resulting from the approximate renormalization group equations obtained by shifting bonds on the square Ising lattice is considered as a function of a free parameter h appearing in the definition of these equations. Next to the fixed point S considered by Kadanoff which is located in a symmetry plane two other “critical” fixed points A and B are found for h0.726. At the value h = 0.741, A crosses the fixed point S and vanishes together with the fixed point B at h = 0.726. Furthermore correction terms to the eigenvalues of the linearized renormalization group equations as obtained by Kadanoff are considered which arise if one chooses h to be optimal at all points of the coupling parameter space.

Date: 1977
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:86:y:1977:i:2:p:448-456

DOI: 10.1016/0378-4371(77)90040-1

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