Correlation decay for finite lattice gauge theories at weak coupling

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on lattices (81T25) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)

Cites Work

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Exponential decay of loop lengths in the loop \(\mathrm{O}(n)\) model with large \(n\)
Confinement, deconfinement and freezing in lattice Yang-Mills theories with continuous time
Regularity and decay of lattice Green's functions
Geometric analysis of \(\phi^ 4\) fields and Ising models. I, II
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A power-law upper bound on the correlations in the 2D random field Ising model
Exponential decay of correlations in the two-dimensional random field Ising model
A probabilistic mechanism for quark confinement
Exponential decay of transverse correlations for \(O(N)\) spin systems and related models
Wilson loops in finite abelian lattice gauge theories
Decay of correlations in finite abelian lattice gauge theories
Exponential decay of correlations in the \(2D\) random field Ising model
Wilson loop expectations in lattice gauge theories with finite gauge groups
SO(N) Lattice Gauge Theory, planar and beyond
Wilson loops in the abelian lattice Higgs model
Improved Spin-Wave Estimate for Wilson Loops in U(1) Lattice Gauge Theory
Wilson Loop Expectations for Non-Abelian Gauge Fields Coupled to a Higgs Boson at Low and High Disorder

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