PreprintCC BY 4.0arXiv
A Counterexample to the Weak Gibbs and Regularity Conjectures
Abstract
We provide a counterexample to the weak Gibbs and regularity conjectures. The example is a spin-one system on the square lattice with a translation-invariant nearest-neighbor interaction. At high temperatures and high on-site field strengths, it has a unique KMS state that does not have the weak Gibbs or regularity properties.
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BibTeX
@misc{wesle2026counterexample,
title = {{A Counterexample to the Weak Gibbs and Regularity Conjectures}},
author = {Marius Wesle},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.06617},
eprint = {2611.06617},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.06617},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A Counterexample to the Weak Gibbs and Regularity Conjectures
AU - Marius Wesle
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.06617
UR - https://arxiv.org/abs/2611.06617
AB - We provide a counterexample to the weak Gibbs and regularity conjectures. The example is a spin-one system on the square lattice with a translation-invariant nearest-neighbor interaction. At high temperatures and high on-site field strengths, it has a unique KMS state that does not have the weak Gibbs or regularity properties.
ER -