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

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dc.creatorAkemann, G.
dc.creatorKanzieper, E.
dc.date2000-01-27
dc.date2000-07-31
dc.date.accessioned2026-07-07T11:35:47Z
dc.date.available2026-07-07T11:35:47Z
dc.descriptionWe 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.
dc.description4 pages, published version
dc.identifierhttps://arxiv.org/abs/hep-th/0001188
dc.identifierhttp://arxiv.org/abs/hep-th/0001188
dc.identifierPhys.Rev.Lett.85:1174-1177,2000
dc.identifierdoi:10.1103/PhysRevLett.85.1174
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198711
dc.subjectHigh Energy Physics - Theory
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Lattice
dc.subjectChaotic Dynamics
dc.titleSpectra of massive and massless QCD Dirac operators: A novel link
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