The continuum and measures are shown to satisfy a log-Sobolev inequality uniformly in the lattice regularisation under the optimal assumption that their susceptibility is bounded. In particular, this applies to all coupling constants in any finite volume, and uniformly in the volume in the entire high temperature phases of the and  models.

中文翻译：

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φ24 和 φ34 测量的 Log-Sobolev 不等式

连续体和在敏感性有界的最佳假设下，测量结果在格正则化中一致地满足 log-Sobolev 不等式。特别是，这适用于任何有限体积中的所有耦合常数，并且在整个高温阶段的体积中均匀一致。和 楷模。