The Block Spin Renormalization Group Approach and Two-Dimensional Quantum Gravity

Details The Block Spin Renormalization Group Approach and Two-Dimensional Quantum Gravity The Block Spin Renormalization Group Approach and Two-Dimensional Quantum Gravity

1994-05-06

arxiv.org/abs/hep-lat/9405007v1

Phys.Rev.D50:5130-5136,1994

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages

Scientific paper

10.1103/PhysRevD.50.5130

A block spin renormalization group approach is proposed for the dynamical 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 original lattice is meant to be a lattice representation of the metric, the block links are determined in such a way that the connectivity of the block lattice represents a block metric. As an illustration, this approach is applied to the Ising model coupled to two-dimensional quantum gravity. The correct critical coupling is reproduced, but the critical exponent is obscured by unusually large finite size effects.

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