Abstract
We compute the correlation functions of the eigenvalues in the Gaussian unitary ensemble using the fermionic replica method. We show that non-trivial saddle points, which break replica symmetry, must be included in the calculation in order to correctly reproduce the exact asymptotic behaviour of the correlation functions at a large distance.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 4373-4388 |
| Number of pages | 16 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 32 |
| Issue number | 24 |
| DOIs | |
| State | Published - Jun 18 1999 |
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