The large-N limit of the two-dimensional U(N) (Wilson) lattice gauge theory is explicitly evaluated for all fixed λ=g²N by steepest-descent methods. The λ dependence is discussed and a third-order phase transition, at λ=2, is discovered. The possible existence of such a weak- to strong-coupling third-order phase transition in the large-N four-dimensional lattice gauge theory is suggested, and its meaning and implications are discussed.
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Gross et al. (1980) studied this question.
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