Title

Block Spin Renormalization-Group Approach And 2-Dimensional Quantum-Gravity

Authors

Authors

R. L. Renken

Comments

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Abbreviated Journal Title

Phys. Rev. D

Keywords

ISING-MODEL; TRANSITION; BEHAVIOR; LATTICE; Astronomy & Astrophysics; Physics, Particles & Fields

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.

Journal Title

Physical Review D

Volume

50

Issue/Number

8

Publication Date

1-1-1994

Document Type

Article

DOI Link

http://dx.doi.org/10.1103/PhysRevD.50.5130

Language

English

First Page

5130

Last Page

5136

WOS Identifier

WOS:A1994PP25000042

ISSN

0556-2821

Recommended Citation

"Block Spin Renormalization-Group Approach And 2-Dimensional Quantum-Gravity" (1994). Faculty Bibliography 1990s. 1163.
https://stars.library.ucf.edu/facultybib1990/1163