Reduction of internal degrees of freedom in the large N limit in matrix models

Details Reduction of internal degrees of freedom in the large N limit in matrix models Reduction of internal degrees of freedom in the large N limit in matrix models

1997-06-02

arxiv.org/abs/hep-th/9706011v2

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, Latex, no figures. Several changes in the calculations but the conclusions remain the same

Scientific paper

In this paper the large $N$ limit of one hermitian matrix models coupled to
an external matrix is considered. It is shown that in the large N limit the
number of degrees of freedom are reduced to be order N even though it is order
$N^{2}$ for finite N. It is claimed that this result is the origin of the
factorization of observables in the path integral formalism.

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