Publication : t09/160
Enumeration of maps with self avoiding loops and the O(n) model on random lattices of all topologies
Borot G. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)Eynard B. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
Abstract:Année de publication : 2011
We compute the generating functions of a O(n) model (loop gas model) on a random lattice of any topology. On the disc and the cylinder, they were already known, and here we compute all the other topologies. We find that the generating functions (and the correlation functions of the lattice) obey the topological recursion, as usual in matrix models, i.e they are given by the symplectic invariants of their spectral curve.
Revue : J. Stat. Mech. 2011 P01010 (2011)
Preprint : arXiv:0910.5896
Keywords : Matrix models, Topological recursion, O(n) model, Self Avoiding Loops, Enumeration of maps.
Langue : Anglais
Fichier(s) à télécharger :
publi.pdf
