Fe b 20 02 Characteristic polynomials of random Hermitian matrices and Duistermaat-Heckman localisation on non-compact Kähler manifolds

@inproceedings{Fyodorov2002FeB2,
  title={Fe b 20 02 Characteristic polynomials of random Hermitian matrices and Duistermaat-Heckman localisation on non-compact K{\"a}hler manifolds},
  author={Yan V. Fyodorov and Eugene Strahov},
  year={2002}
}
We reconsider the problem of calculating a general spectral correlation function containing an arbitrary number of products and ratios of characteristic polynomials for a N ×N random matrix taken from the Gaussian Unitary Ensemble (GUE). Deviating from the standard ”supersymmetry” approach, we circumvent the use of the Hubbard-Stratonovich transformation and integrate out Grassmann variables at the early stage. The method, suggested recently by one of us [19], is shown to be capable of… CONTINUE READING
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