Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential

  title={Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential},
  author={Francesco Basile and Gernot Akemann},
  journal={Journal of High Energy Physics},
We prove that QCD in the epsilon-regime of chiral Perturbation Theory is equivalent to chiral Random Matrix Theory for zero and both non-zero real and imaginary chemical potential mu. To this aim we prove a theorem that relates integrals over fermionic and bosonic variables to super-Hermitian or super-Unitary groups also called superbosonization. Our findings extend previous results for the equivalence of the partition functions, spectral densities and the quenched two-point densities. We can… 

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