Problems with the definition of renormalized Hamiltonians for momentum-space renormalization transformations
arXiv:cond-mat/9809036 · doi:10.1103/PhysRevE.59.5165
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.
14 pages, latex