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

Akemann G, Kanzieper E (2000)
Phys.Rev.Lett. 85(6): 1174-1177.

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We show that integrable structure of chiral random matrix modelsincorporating global symmetries of QCD Dirac operators (labeled by the Dysonindex beta=1,2, and 4) leads to emergence of a connection relation between thespectral statistics of massive and massless Dirac operators. This novel linkestablished for beta-fold degenerate massive fermions is used to explicitlyderive (and prove the random matrix universality of) statistics of low--lyingeigenvalues of QCD Dirac operators in the presence of SU(2) massive fermions inthe fundamental representation (beta=1) and SU(N_c >= 2) massive adjointfermions (beta=4). Comparison with available lattice data for SU(2) dynamicalstaggered fermions reveals a good agreement.
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Akemann G, Kanzieper E. Spectra of massive and massless QCD Dirac operators: A novel link. Phys.Rev.Lett. 2000;85(6):1174-1177.
Akemann, G., & Kanzieper, E. (2000). Spectra of massive and massless QCD Dirac operators: A novel link. Phys.Rev.Lett., 85(6), 1174-1177.
Akemann, G., and Kanzieper, E. (2000). Spectra of massive and massless QCD Dirac operators: A novel link. Phys.Rev.Lett. 85, 1174-1177.
Akemann, G., & Kanzieper, E., 2000. Spectra of massive and massless QCD Dirac operators: A novel link. Phys.Rev.Lett., 85(6), p 1174-1177.
G. Akemann and E. Kanzieper, “Spectra of massive and massless QCD Dirac operators: A novel link”, Phys.Rev.Lett., vol. 85, 2000, pp. 1174-1177.
Akemann, G., Kanzieper, E.: Spectra of massive and massless QCD Dirac operators: A novel link. Phys.Rev.Lett. 85, 1174-1177 (2000).
Akemann, Gernot, and Kanzieper, E. “Spectra of massive and massless QCD Dirac operators: A novel link”. Phys.Rev.Lett. 85.6 (2000): 1174-1177.
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