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arXiv · 2112.00573

Power law decay at criticality for the q-state antiferromagnetic Potts model on regular trees

Chenlin Gu·Wei Wu·Kuan Yang
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Abstract

We present a proof of the power law decay of magnetic moment for the $q$-state antiferromagnetic Potts model on the regular tree at the critical temperature, and also justify that the exact exponent is $\frac{1}{2}$. Our proof relies on the assumption of the uniqueness at the critical temperature, which has been established for $q=3,4$, and for $q \ge 5$ with large degree. An iterative contraction inequality is developed for independent interests.

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BibTeXRIS

Chenlin Gu, Wei Wu, Kuan Yang. 2021-12-01. Power law decay at criticality for the q-state antiferromagnetic Potts model on regular trees. https://arxiv.org/abs/2112.00573

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