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

Aernout C. D. van Enter·Roberto Fernández
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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.

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BibTeXRIS

Aernout C. D. van Enter, Roberto Fernández. 1998-09-02. Problems with the definition of renormalized Hamiltonians for momentum-space renormalization transformations. https://doi.org/10.1103/physreve.59.5165

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