2D gravity+1D matter |
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Authors: | P Ginsparg and J Zinn-Justin |
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Institution: | Lyman Laboratory of Physics, Harvard University, Cambridge, MA 02138, USA |
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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 ∝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<1 matter. |
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