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A note on Ursell functions for the Blume-Capel model
Abstract
We study the sign structure of Ursell functions in the Blume--Capel model. For Δ≤ log 2, we give a short proof of the alternating sign property using an Ising representation. We then construct counterexamples for every Δ> log 2, showing that the condition Δ≤ log 2 is sharp.
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BibTeX
@misc{yu2026note,
title = {{A note on Ursell functions for the Blume-Capel model}},
author = {Sheng Chun Yu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.04610},
eprint = {2609.04610},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.04610},
}
RIS
TY - UNPB
TI - A note on Ursell functions for the Blume-Capel model
AU - Sheng Chun Yu
PY - 2026
DA - 2026/09/04
PB - arXiv
DO - 10.48550/arxiv.2609.04610
UR - https://arxiv.org/abs/2609.04610
AB - We study the sign structure of Ursell functions in the Blume--Capel model. For Δ≤ log 2, we give a short proof of the alternating sign property using an Ising representation. We then construct counterexamples for every Δ> log 2, showing that the condition Δ≤ log 2 is sharp.
ER -