Problems with the definition of renormalized Hamiltonians for momentum-space renormalization transformations
Statistical Mechanics
2009-10-31 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.cond-mat/9809036,
title = {Problems with the definition of renormalized Hamiltonians for momentum-space renormalization transformations},
author = {Aernout C. D. van Enter and Roberto Fernández},
journal= {arXiv preprint arXiv:cond-mat/9809036},
year = {2009}
}
Comments
14 pages, latex