Lattice Gauge Theory and a Random-Medium Ising Model

被引：0
|
作者：
Mikhail Skopenkov
机构：
[1] King Abdullah University of Science and Technology,
来源：
Mathematical Physics, Analysis and Geometry | 2022年 / 25卷
关键词：
Percolation; Lattice gauge theory; Potts model; O(n) model; Graph coloring; 82B20; 81T25; 81T13;
D O I：
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学科分类号：
摘要：
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.
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