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Annals of Physics

Variational principles, renormalization group, and Kadanoff's universality

C. Di Castro, Giovanni Jona-Lasinio, Luca Peliti

Published Oct 1, 1974• 20 citations
Publisher
DOI
10.1016/0003-4916(74)90039-6

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The authors apply the variational lower-bound renormalization group transformation of Kadanoff (1975) to an SU (2) lattice spin model in two and three dimensions. Even in the one-hypercube framework of this renormalization group transformation the present model is characterized by having an infinite basis of fundamental operators. They investigate whether the lower-bound variational renormalization group transformation yields results stable under different truncations of this operator basis. Their results show that for this particular spin model this is not the case.