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Lattice gauge theory and a random-medium Ising model

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 نشر من قبل Mikhail Skopenkov
 تاريخ النشر 2020
  مجال البحث فيزياء
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 تأليف Mikhail Skopenkov




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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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