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It is shown that in a gauge theory on an Lᵈ lattice with a compact Lie group, the weak-coupling expansion of any gauge-invariant Green's function may cease to be an asymptotic representation of the true answer as L→∞. The disagreement is expected to occur at the two-loop level, in non-Abelian models.
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Adrian Patrascioiu (1985) studied this question.
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