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

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 spectral statistics 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). Comparison with available lattice data for SU(2) dynamical staggered fermions reveals a good agreement.

4 pages, published version

References in corpus (2)

• The Spectral Density of the QCD Dirac Operator and Patterns of Chiral Symmetry Breaking
• Parametric level statistics in random matrix theory: Exact solution

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