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

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

2000-01-27

arxiv.org/abs/hep-th/0001188v3

Phys.Rev.Lett.85:1174-1177,2000

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, published version

Scientific paper

10.1103/PhysRevLett.85.1174

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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