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.
Original languageEnglish (US)
JournalMathematical Physics Analysis and Geometry
Volume25
Issue number3
DOIs
StatePublished - Jul 6 2022

ASJC Scopus subject areas

  • Mathematical Physics
  • Geometry and Topology

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