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arXiv:cond-mat/9809036 · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

Problems with the definition of renormalized Hamiltonians for momentum-space renormalization transformations

Aernout C. D. van Enter, Roberto Fernández

Published May 1, 1999• 7 citations
arXivHTMLPDF

Abstract

For classical lattice systems with finite (Ising) spins, we show that the implementation of momentum-space renormalization at the level of Hamiltonians runs into the same type of difficulties as found for real-space transformations: Renormalized Hamiltonians are ill-defined in certain regions of the phase diagram.
DOI
10.1103/physreve.59.5165

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