Problems with the definition of renormalized Hamiltonians for momentum-space renormalization transformations.
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.
van Enter
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Institute for Theoretical Physics, Rijksuniversiteit Groningen, Nijenborgh 4, 9747 AG Groningen, The Netherlands. AENTER@PHYS.RUG.NL
Fernández
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