
Abstract We consider a formulation of nonperturbative two-dimensional quantum gravity coupled to a single bosonic field (d = 1 matter). Starting from a matrix realization of the discretized model, we express the continuum theory as a double scaling limit in which the 2D cosmological constant g tends towards a critical value gc, and the string coupling 1 N → 0, with the scaling parameter α∝1n(g-gc)(g-gc)N held fixed. We find that in this formulation logarithmic corrections already present at tree level persist to all higher genus, suggesting a behavior different from the previously considered cases of d
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