Publication : t03/125
Master loop equations, free energy and correlations for the chain of matrices
Eynard B. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)Abstract:Année de publication : 2003
The loop equations for a chain of hermitian random matrices are computed explicitely, including the 1/N^2 corrections. To leading order, the master loop equation reduces to an algebraic equation, whose solution can be written in terms of geometric properties of the underlying algebraic curve. In particular we compute the free energy, the resolvents, the 2-loop functions and some mixed one loop functions. We also initiate the calculation of the 1/N^2 expansion.
Revue : JHEP 0311 018 (2003)
DOI : 10.1088/1126-6708/2003/11/018
Preprint : arXiv:hep-th/0309036
Lien : http://stacks.iop.org/1126-6708/2003/i=0311/a=018
Numéro Exterieur : ccsd-00000572
Langue : Anglais
Fichier(s) à télécharger :
1126-6708_2003_11_018.pdf publi.pdf
