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Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimento

Renormalization group transformation by moving-bond approach

E. R. Caianiello, M. Fusco Girard, M. Marinaro

Published Nov 1, 1977• 1 citation
Publisher
DOI
10.1007/bf02790722

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Considering in symmetrical half-length bond operations, we present in this paper two types of newly-developed generalizations of the remarkable Migdal-Kadanoff bond-moving renormalization group transformation recursion procedures. The predominance in application of these generalized procedures are illustrated by making use of them to study the critical behavior of the spin-continuous Gaussian model constructed on the typical translational invariant lattices and fractals respectively. Results such as the correlation length critical exponents obtained by these means are found to be in good conformity with the classical results from other previous studies.