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• W2013468809 abstract "We calculate a general spectral correlation function of products and ratios of characteristic polynomials for a $Ntimes N$ random matrix taken from the chiral Gaussian Unitary Ensemble (chGUE). Our derivation is based upon finding an Itzykson-Zuber type integral for matrices from the non-compact manifold ${sf{Gl(n,{mathcal{C}})/U(1)times ...times U(1)}}$ (matrix Macdonald function). The correlation function is shown to be always represented in a determinant form generalising the known expressions for only positive moments. Finally, we present the asymptotic formula for the correlation function in the large matrix size limit." @default.
• W2013468809 created "2016-06-24" @default.
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• W2013468809 date "2002-12-01" @default.
• W2013468809 modified "2023-10-03" @default.
• W2013468809 title "On correlation functions of characteristic polynomials for chiral Gaussian unitary ensemble" @default.
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• W2013468809 doi "https://doi.org/10.1016/s0550-3213(02)00904-5" @default.
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