Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1999-05-27
Phys. Rev. E 63, 045203 (2001)
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, 1 postscript figure
Scientific paper
10.1103/PhysRevE.63.045203
We give a transparent derivation of a relation obtained using a supersymmetric non-linear sigma model by Andreev and Altshuler [Phys. Rev. Lett. 72, 902, (1995)], which connects smooth and oscillatory components of spectral correlation functions. We show that their result is not specific to random matrix theory. Also, we show that despite an apparent contradiction, the results obtained using their formula are consistent with earlier perspectives on random matrix models. In particular, the concept of resurgence is not required.
Mehlig Bernhard
Wilkinson Mark
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