English

Breakdown of Universality in Random Matrix Models

Disordered Systems and Neural Networks 2009-10-30 v2 High Energy Physics - Theory

Abstract

We calculate smoothed correlators for a large random matrix model with a potential containing products of two traces \trW1(M)\trW2(M)\tr W_1(M) \cdot \tr W_2(M) in addition to a single trace \trV(M)\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.

Keywords

Cite

@article{arxiv.cond-mat/9703151,
  title  = {Breakdown of Universality in Random Matrix Models},
  author = {Satoshi Iso and Andrew Kavalov},
  journal= {arXiv preprint arXiv:cond-mat/9703151},
  year   = {2009}
}

Comments

16 pages, LaTex, references and footnote added

R2 v1 2026-07-22T11:56:56.518Z