Breakdown of Universality in Random Matrix Models

Details Breakdown of Universality in Random Matrix Models Breakdown of Universality in Random Matrix Models

1997-03-14

arxiv.org/abs/cond-mat/9703151v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

16 pages, LaTex, references and footnote added

Scientific paper

10.1016/S0550-3213(97)00436-7

We calculate smoothed correlators for a large random matrix model with a
potential containing products of two traces $\tr W_1(M) \cdot \tr W_2(M)$ in
addition to a single trace $\tr V(M)$. Connected correlation function of
density eigenvalues receives corrections besides the universal part derived by
Brezin and Zee and it is no longer universal in a strong sense.

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