Pathological Behavior of Renormalization-Group Maps at High Fields and Above the Transition Temperature
Aernout C. D. van Enter, Roberto Fernández, Roman Kotecký
Abstract
We show that decimation transformations applied to high-q 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.
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