PUB - Publikationen an der Universität Bielefeld

We prove that QCD in the epsilon-regime of chiral Perturbation Theory isequivalent to chiral Random Matrix Theory for zero and both non-zero real andimaginary chemical potential mu. To this aim we prove a theorem that relatesintegrals over fermionic and bosonic variables to super-Hermitian orsuper-Unitary groups also called superbosonization. Our findings extendprevious results for the equivalence of the partition functions, spectraldensities and the quenched two-point densities. We can show that all k-pointdensity correlation functions agree in both theories for an arbitrary number ofquark flavors, for either mu=0 or mu=/=0 taking real or imaginary values. Thisimplies the equivalence for all individual k-th eigenvalue distributions whichare particularly useful to determine low energy constants from Lattice QCD withchiral fermions.