paper

Pathological Behavior of Renormalization-Group Maps at High Fields and Above the Transition Temperature

arXiv:hep-lat/9409016

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.

24 pages

Pathological Behavior of Renormalization-Group Maps at High Fields and Above the Transition Temperature · wovepaper