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

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

1998-09-02

arxiv.org/abs/cond-mat/9809036v1

Physics

Condensed Matter

Statistical Mechanics

14 pages, latex

Scientific paper

10.1103/PhysRevE.59.5165

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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