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http://hdl.handle.net/2289/3204| Title: | Orthogonal polynomials and exact correlation functions for two cut random matrix models |
| Authors: | Deo, Nivedita |
| Keywords: | Exact fine-grained global correlators Universality |
| Issue Date: | Nov-1997 |
| Publisher: | Elsevier B.V. |
| Citation: | Nuclear Physics B, 1997, Vol.504, p609-620 |
| Abstract: | 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 Image2 symmetricdistribution 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. |
| Description: | Restricted Access. |
| URI: | http://hdl.handle.net/2289/3204 |
| ISSN: | 0550-3213 |
| Alternative Location: | http://dx.doi.org/10.1016/S0550-3213(97)00561-0 |
| Copyright: | 1997 Elsevier B.V. |
| Appears in Collections: | Research Papers (TP) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 1997 NPB V504 p609.pdf Restricted Access | Restricted Access | 490.55 kB | Adobe PDF | View/Open Request a copy |
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