Publication : t97/133
Coloring Random Triangulations
Di Francesco P. (Department of Mathematics, University of North Carolina (UNC) at Chapel Hill, Chapel Hill, NC 27599, USA)Eynard B. (Department of Mathematical Sciences, University of Durham, Science Labs. South Road, Durham DH1 3LE, England UNITED KINGDOM (UK))
Guitter E. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Abstract:Année de publication : 1998
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 model is found to lie in the universality class of pure two-dimensional quantum gravity, despite the non-polynomiality of its potential.
Revue : Nucl. Phys. B [FS] 516 543-587 (1998)
DOI : 10.1016/S0550-3213(98)00037-6
Preprint : arXiv:cond-mat/9711050
PACS : 05.20.y,04.60.Nc
Keywords : Coloring,Folding,Random Lattice,2D Quantum Gravity
Langue : Anglais
Fichier(s) à télécharger :
publi.pdf
