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The solution of a chiral random matrix model with complex eigenvalues

The solution of a chiral random matrix model with complex eigenvalues

We describe in detail the solution of the extension of the chiral Gaussian unitary ensemble (chGUE) into the complex plane. The correlation functions of the model are first calculated for a finite number of N complex eigenvalues, where we exploit the existence of orthogonal Laguerre polynomials in the complex plane. …