2-Matrix versus Complex Matrix Model, Integrals over the Unitary Group as Triangular Integrals View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2006-05

AUTHORS

B. Eynard, A. Prats Ferrer

ABSTRACT

We prove that the 2-hermitian matrix model and the complex-matrix model obey the same loop equations, and as a byproduct, we find a formula for Itzykzon-Zuber 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. More... »

PAGES

115-144

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00220-006-1541-8

DOI

http://dx.doi.org/10.1007/s00220-006-1541-8

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1022150037


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139 schema:name Service de Physique Théorique de Saclay, CEA/DSM/SPhT - CNRS/SPM/URA 2306, 91191, Gif-sur-Yvette Cedex, France
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141 https://www.grid.ac/institutes/grid.5841.8 schema:alternateName University of Barcelona
142 schema:name Departament d'Estructura i constituents de la Matèria, Universitad Barcelona, Av. Diagonal 647, 08028, Barcelona, Spain
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