Comments on renormalization group series

Arnold J.F. Siegert, David J. Vezzetti and Harvey S. Leff

Physica A: Statistical Mechanics and its Applications, 1977, vol. 89, issue 2, 427-430

Abstract: In previous articles by Nauenberg and by Niemeijer and Ruijgrok, the renormalization group approach has been used to obtain series expansions for the free energies of certain one- dimensional spin systems. We investigate here the question of whether this method provides a fundamentally new way of approximating the largest eigenvalue of a transfer matrix or kernel. For the models mentioned above, this is not the case. The partial sums of the series are essentially equivalent to the free energies of a sequence of finite models of increasing size.

Date: 1977
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:89:y:1977:i:2:p:427-430

DOI: 10.1016/0378-4371(77)90117-0

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