vix.ing · top · new · best · stats · spec

New methods of integration in matrix models

1992/05/18 by A. D'Adda, A D'Adda
Physics and Astronomy · #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1088/0264-9381/9/8/001

published as Class.Quant.Grav.9:L77-L82,1992 · (7 pages)

arxiv created 1992/05/18 · openalex publication_date 1992/08/01 · arxiv updated 2010/04/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

The author discusses a new method of integration over matrix variables based on a suitable gauge choice in which the angular variables decouple from the eigenvalues at least for a class of two-matrix models. The calculation of correlation functions involving angular variables is simple in this gauge. Where the method is applicable it also gives an extremely simple proof of the classical integration formula used to reduce multi-matrix models to an integral over the eigenvalues.

Citations