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

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

1993-03-25

arxiv.org/abs/hep-th/9303138v3

Physics

High Energy Physics

High Energy Physics - Theory

Latex (3 Latex figures), 13pp, ITEP-YM-2-93 [minor revising]

Scientific paper

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

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