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arXiv · 2012.02591

Lattice gauge theory and a random-medium Ising model

Mikhail Skopenkov
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Abstract

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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Mikhail Skopenkov. 2020-11-29. Lattice gauge theory and a random-medium Ising model. https://doi.org/10.1007/s11040-022-09430-9

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