Publication : t05/038
Loop equations for the semiclassical 2-matrix model with hard edges
Eynard B. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)Abstract:Année de publication : 2005
The 2-matrix models can be defined in a setting more general than polynomial potentials, namely, the semiclassical matrix model. In this case, the potentials are such that their derivatives are rational functions, and the integration paths for eigenvalues are arbitrary homology classes of paths for which the integral is convergent. This choice includes in particular the case where the integration path has fixed endpoints, called hard edges. The hard edges induce boundary contributions in the loop equations. The purpose of this article is to give the loop equations in that semicassical setting.
Revue : J. Stat. Mech. P10006 (2005)
DOI : 10.1088/1742-5468/2005/10/P10006
Preprint : arXiv:math-ph/0504002
Lien : http://stacks.iop.org/JSTAT/2005/P10006
Numéro Exterieur : ccsd-00004618
Langue : Anglais
Fichier(s) à télécharger :
1742-5468_2005_10_P10006.pdf publi.pdf
