Orthogonal Polynomials and Exact Correlation Functions for Two Cut Random Matrix Models

Details Orthogonal Polynomials and Exact Correlation Functions for Two Cut Random Matrix Models Orthogonal Polynomials and Exact Correlation Functions for Two Cut Random Matrix Models

1997-03-13

arxiv.org/abs/cond-mat/9703136v2

Physics

Condensed Matter

15 pages, LaTex, a paragraph added in note added:, three references added. accepted in Nucl. Phys.B

Scientific paper

10.1016/S0550-3213(97)00561-0

Exact eigenvalue correlation functions are computed for large $N$ hermitian one-matrix models with eigenvalues distributed in two symmetric cuts. An asymptotic form for orthogonal polynomials for arbitrary polynomial potentials that support a $Z_2$ symmetric distribution is obtained. This results in an exact explicit expression for the kernel at large $N$ which determines all eigenvalue correlators. The oscillating and smooth parts of the two point correlator are extracted and the universality of local fine grained and smoothed global correlators is established.

Affiliated with

Also associated with

No associations

Rating

Orthogonal Polynomials and Exact Correlation Functions for Two Cut Random Matrix Models 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 Orthogonal Polynomials and Exact Correlation Functions for Two Cut Random Matrix Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Orthogonal Polynomials and Exact Correlation Functions for Two Cut Random Matrix Models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-525499