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arXiv · hep-th/9303138

An Exact Solution of Induced Large-N Lattice Gauge Theory at Strong Coupling

Yu. Makeenko
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Abstract

I show that the strong coupling solution of the Kazakov--Migdal model with a general interaction potential $V(Φ)$ in $D$ dimensions coincides at large $N$ with that of the hermitean one-matrix model with the potential $\tilde{V}(Φ)$: $$ (2D-1)\tilde{V}'= (D-1)V'+ D\sqrt{(V')^2+4(1-2D)Φ^2}, $$ whose solution is known. The proof is given for an even potential $V(Φ)=V(-Φ)$ by solving loop equations.

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Yu. Makeenko. 1993-04-27. An Exact Solution of Induced Large-N Lattice Gauge Theory at Strong Coupling. https://arxiv.org/abs/hep-th/9303138

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