比较亚临界平面伊辛模型中Lee-Yang间隙与质量间隙
Comparing the Lee-Yang gap with the mass gap in the sub-critical planar Ising model
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中文总结 AI 辅助
本文证明了亚临界平面伊辛模型中质量间隙与Lee-Yang间隙的$8/15$次方相当，并给出了压力场导数的均匀阶乘界。
中文摘要 AI 辅助
我们证明了在自由边界方形盒子中，亚临界质量间隙与Lee-Yang间隙的$8/15$次方相当。上界由随机电流矩界、一个关联不等式和有限块展开给出。下界则来自Lee-Yang乘积、磁化率和临界磁化强度。我们还获得了压力场导数的均匀阶乘界。
英文摘要
We prove that the subcritical mass gap is comparable to the Lee-Yang gap over free-boundary square boxes raised to the power $8/15$. Random-current moment bounds, a correlation inequality and a finite block expansion give the upper bound. The lower bound follows from the Lee-Yang product, the susceptibility and the critical magnetization. We also obtain uniform factorial bounds on the field derivatives of the pressure.
发表机构
- Technische Universität München（慕尼黑工业大学）
- Program in Applied and Computational Mathematics, Princeton University（普林斯顿大学应用与计算数学项目）
- Department of Mathematics, Princeton University（普林斯顿大学数学系）
- Faculty of Mathematics, University of Vienna（维也纳大学数学学院）
机构由 AI 辅助整理，请以论文原文为准。
