论文信息 - Improved Peierls Argument for High-Dimensional Ising Models

Improved Peierls Argument for High-Dimensional Ising Models

AbstractWe consider the low-temperature expansion for the Ising model on $$\mathbb{Z}^d ,d \geqslant 2$$ , with ferromagnetic nearest neighbor interactions in terms of Peierls contours. We prove that the expansion converges for all temperatures smaller than Cd(log d)−1, which is the correct order in d.

J. Lebowitz | A. Mazel

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