Spectra of massive and massless QCD Dirac operators: A novel link

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  • 1 February 2000
Abstract
We show that integrable structure of chiral random matrix models incorporating global symmetries of QCD Dirac operators (labeled by the Dyson index beta = 1, 2 and 4) leads to emergence of a connection relation between the microscopic spectra of massive and massless Dirac operators. This novel link established for beta-fold degenerate massive fermions is used to explicitly derive and prove the random matrix universality of statistics of low-lying eigenvalues of QCD Dirac operators in the presence of SU(2) massive fermions in the fundamental representation (beta = 1) and SU(N_c >= 2) massive adjoint fermions (beta = 4). The results derived are compared with available lattice data for SU(2) dynamical staggered fermions, and good agreement is found.

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