Publication : t05/011
2-matrix versus complex matrix model, integrals over the unitary group as triangular integrals
Eynard B. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)Prats Ferrer A. (Univ. Barcelona, Dep. de Estructura i Constituents de la Matèria Diagonal 647, E-08028, Barcelona, spain)
Abstract:Année de publication : 2006
We prove that the 2-hermitean matrix model and the complex-matrix model obey the same loop equations, and as a byproduct, we find a formula for Itzykson-Zuber's type integrals over the unitary group. Integrals over $U(n)$ are rewritten as gaussian integrals over triangular matrices and then computed explicitly. That formula is an efficient alternative to the former Shatashvili's formula.
Revue : Commun. Math. Phys. 264 115-144 (2006)
DOI : 10.1007/s00220-006-1541-8
Preprint : arXiv:hep-th/0502041
Numéro Exterieur : UB-ECM-PF05/03
Langue : Anglais
Fichier(s) à télécharger :
publi.pdf
