New Multicritical Random Matrix Ensembles

Details New Multicritical Random Matrix Ensembles New Multicritical Random Matrix Ensembles

2002-01-21

arxiv.org/abs/hep-th/0201167v2

Nucl.Phys. B635 (2002) 492-504

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 3 figures; v2: version to appear in Nucl. Phys. B

Scientific paper

In this paper we construct a class of random matrix ensembles labelled by a real parameter $\alpha \in (0,1)$, whose eigenvalue density near zero behaves like $|x|^\alpha$. The eigenvalue spacing near zero scales like $1/N^{1/(1+\alpha)}$ and thus these ensembles are representatives of a {\em continous} series of new universality classes. We study these ensembles both in the bulk and on the scale of eigenvalue spacing. In the former case we obtain formulas for the eigenvalue density, while in the latter case we obtain approximate expressions for the scaling functions in the microscopic limit using a very simple approximate method based on the location of zeroes of orthogonal polynomials.

Affiliated with

Also associated with

No associations

Rating

New Multicritical Random Matrix Ensembles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with New Multicritical Random Matrix Ensembles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New Multicritical Random Matrix Ensembles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-12555