A cluster expansion approach to renormalization group transformations

Abstract

The renormalization group (RG) approach is largely responsible for the considerable success which has been achieved in developing a quantitative theory of phase transitions. This work treats the rigorous definition of the RG map for classical Ising-type lattice systems. A cluster expansion is used to justify this definition in the infinite volume limit at… (More)

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Cite this paper

@inproceedings{Yin2010ACE, title={A cluster expansion approach to renormalization group transformations}, author={Mei Yin}, year={2010} }