Abstract

A review of bond-moving and variational approximation methods in real-space renormalization is presented. Some of the more important developments in this field are illustrated in detail, using the Ising model as an example. Particular emphasis is placed on the Migdal-Kadanoff transformation and the Kadanoff lower-bound variational transformation. The successes and inherent limitations of the bond-moving and variational approximations are discussed. References to various applications of the methods are given.KeywordsIsing ModelCritical ExponentHierarchical LatticeSymmetric SubspaceRenormalization TransformationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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