Authors
Citation
P. Difrancesco et al., COLORING RANDOM TRIANGULATIONS, Nuclear physics. B, 516(3), 1998, pp. 543-587
Citations number
16
Categorie Soggetti
Physics, Particles & Fields","Physics, Nuclear
Journal title
ISSN journal
05503213
Volume
516
Issue
3
Year of publication
1998
Pages
543 - 587
Database
ISI
SICI code
0550-3213(1998)516:3<543:CRT>2.0.ZU;2-#
Abstract
We introduce and solve a two-matrix model for the tri-coloring problem
of the vertices of a random triangulation. We present three different
solutions: (i) by orthogonal polynomial techniques, (ii) by use of a
discrete Hirota bilinear equation, (iii) by direct expansion. The mode
l is found to lie in the universality class of pure two-dimensional qu
antum gravity, despite the non-polynomiality of its potential. (C) 199
8 Elsevier Science B.V.