BLOCK SPIN RENORMALIZATION-GROUP APPROACH AND 2-DIMENSIONAL QUANTUM-GRAVITY

A block spin renormalization group approach is proposed for the dynami cal triangulation formulation of two-dimensional quantum gravity. The idea is to update link flips on the block lattice in response to link flips on the original lattice. Just as the connectivity of the origina l lattice is meant to be a lattice representation of the metric, the b lock links are determined in such a way that the connectivity of the b lock lattice represents a block metric. As an illustration, this appro ach is applied to the Ising model coupled to two-dimensional quantum g ravity. The correct critical coupling is reproduced, but the critical exponent is obscured by unusually large finite-size effects.