Pathological Behavior of Renormalization-Group Maps at High Fields and Above the Transition Temperature
High Energy Physics - Lattice
2007-05-23 v1
Abstract
We show that decimation transformations applied to high- Potts models result in non-Gibbsian measures even for temperatures higher than the transition temperature. We also show that majority transformations applied to the Ising model in a very strong field at low temperatures produce non-Gibbsian measures. This shows that pathological behavior of renormalization-group transformations is even more widespread than previous examples already suggested.
Cite
@article{arxiv.hep-lat/9409016,
title = {Pathological Behavior of Renormalization-Group Maps at High Fields and Above the Transition Temperature},
author = {Aernout C. D. van Enter and Roberto Fernández and Roman Kotecký},
journal= {arXiv preprint arXiv:hep-lat/9409016},
year = {2007}
}
Comments
24 pages