论文标题
晶格仪理论和随机中等模型
Lattice gauge theory and a random-medium Ising model
论文作者
论文摘要
我们研究晶格仪理论的线性化。线性化理论以与循环O（n）模型相同的方式近似晶格量规理论近似于自旋O（n）模型。在温和的假设下，我们表明，在线性化的阿贝尔仪表理论中观察到的期望与随机边缘重量的Ising模型中的期望相吻合。我们发现阳米尔斯理论与四州POTTS模型之间的相似关系。对于后者，我们引入了一个新的可观察到的。
We study linearization of lattice gauge theory. Linearized theory approximates lattice gauge theory in the same manner as the loop O(n)-model approximates the spin O(n)-model. Under mild assumptions, we show that the expectation of an observable in linearized Abelian gauge theory coincides with the expectation in the Ising model with random edge-weights. We find a similar relation between Yang-Mills theory and 4-state Potts model. For the latter, we introduce a new observable.
