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We compute the nonleptonic weak decay width of a heavy-light meson in 1+1spacetime dimensions with a large number of QCD colors (the 't Hooft model) asa function of the heavy quark mass. In this limit, QCD is exactly soluble, anddecay modes are dominated by two-particle final states. We compare the resultsto the tree-level partonic decay width of the heavy quark in order to testquark-hadron duality in this universe. We find that this duality issurprisingly well satisfied in the heavy quark limit, in that the differencebetween the sum of exclusive partial widths and the tree-level partonic widthapproaches a constant as M --> infinity, and the deviation is well-fit by asmall 1/M correction. We comment on the meaning of this conclusion and itsimplications for the use of quark-hadron duality in hadronic physics.Comment: 29 pages, 9 eps figures, REVTEX, resubmit for tightlines and  correction to Acknowledgment

Explicit quark-hadron duality in heavy-light meson weak decays in the ’t Hooft model