The spectral dimension of the branched polymers phase of two-dimensional quantum gravity

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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29 pages plain LateX2e, 7 eps figures included using epsf

Scientific paper

10.1016/S0550-3213(98)00027-3

The metric of two-dimensional quantum gravity interacting with conformal
matter is believed to collapse to a branched polymer metric when the central
charge c>1. We show analytically that the spectral dimension of such a branched
polymer phase is four thirds. This is in good agreement with numerical
simulations for large c.

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