Condensed Matter Physics, 2006, vol. 9, No. 2(46), p. 263282, English
DOI:10.5488/CMP.9.2.263
Title:
Twodimensional quantum gravity  a laboratory for fluctuating
graphs and quenched connectivity disorder
Author(s):
 W.Janke
(Institut für Theoretische Physik and Centre for
Theoretical Sciences (NTZ), Universität Leipzig, Augustusplatz 10/11,
D04109 Leipzig, Germany)
,

 D.A.Johnston
(Department of
Mathematics, School of Mathematical and Computer Sciences,
HeriotWatt University, Riccarton, Edinburgh EH14 4AS,
Scotland)
,

 M.Weigel
(Department of
Mathematics, School of Mathematical and Computer Sciences,
HeriotWatt University, Riccarton, Edinburgh EH14 4AS,
Scotland)

This paper gives a brief introduction to using twodimensional discrete and Euclidean
quantum gravity approaches as a laboratory for studying the properties of
fluctuating and frozen random graphs in interaction with "matter fields"
represented by simple spin or vertex models. Due to the existence of numerous
exact analytical results and predictions for comparison with simulational work, this
is an interesting and useful enterprise.
Key words:
quantum gravity, annealed and quenched disorder,
critical phenomena
PACS:
04.60.m, 05.10.Ln, 05.50.+q, 64.60.Fr
