Asymptotic behavior of group integrals in the limit of infinite rank

1 May 1978

journal article
Published by AIP Publishing in Journal of Mathematical Physics

Vol. 19 (5) , 999-1001
https://doi.org/10.1063/1.523807

Abstract

We show that in the limit N→∞ integrals with respect to Haar measure of products of the elements of a matrix in SO(N) approach corresponding moments of a set of independent Gaussian random variables. Similar asymptotic forms are obtained for SU(N) and Sp(N). An application of these results to Wilson’s formulation of lattice gauge theory is briefly considered.

Keywords

ASYMPTOTIC SOLUTIONS
INTEGRALS
FUNCTIONAL ANALYSIS
SU GROUPS
SP GROUPS

This publication has 1 reference indexed in Scilit:

Confinement of quarks
Physical Review D, 1974