Lattice gauge theory and a random-medium Ising model
Mathematical Physics
2023-09-14 v1 High Energy Physics - Lattice
math.MP
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.
Cite
@article{arxiv.2012.02591,
title = {Lattice gauge theory and a random-medium Ising model},
author = {Mikhail Skopenkov},
journal= {arXiv preprint arXiv:2012.02591},
year = {2023}
}
Comments
10 pages, 2 figures