Title

Block Spin Renormalization Group Approach And Two-Dimensional Quantum Gravity

Abstract

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. © 1994 The American Physical Society.

Publication Date

1-1-1994

Publication Title

Physical Review D

Volume

50

Issue

8

Number of Pages

5130-5136

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1103/PhysRevD.50.5130

Socpus ID

0000255329 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0000255329

This document is currently not available here.

Share

COinS