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arXiv · hep-th/0001188

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

G. Akemann·E. Kanzieper
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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.

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G. Akemann, E. Kanzieper. 2000-07-31. Spectra of massive and massless QCD Dirac operators: A novel link. https://doi.org/10.1103/physrevlett.85.1174

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