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arXiv 1908.09178math-phcond-mat.stat-mechhep-lathep-thmath.MP
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Confinement for all couplings in a ${\mathbb Z}_{2}$ lattice gauge theory

Peter Orland

英文摘要:

For a particular lattice gauge theory with ${\mathbb Z}_2$ gauge invariance there is confinement for all couplings. The gauge fields, on lattice links, lie in the closed interval $[-1,1]$. It is proved that the expectation value of a gauge-invariant loop operator decays as the exponential of minus the area.

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