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The XY model and Kadanoff's variational real space renormalization group

G. Thorleifsson and P.H. Damgaard

Physica A: Statistical Mechanics and its Applications, 1991, vol. 178, issue 1, 149-167

Abstract: The XY model in d dimensions is studied by means of a variational real space renormalization group transformation. Contrary to an earlier computation in the same framework for the d = 2 case, we find that a low order operator basis truncation is highly unstable. For certain values of the variational parameter p the renormalization group flow can display period doubling sequences towards a chaotic regime. The behavior in the d = 3 case is very similar.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:178:y:1991:i:1:p:149-167

DOI: 10.1016/0378-4371(91)90078-Q

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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