Universal spectral correlators and massive Dirac operators

1997/11/30 by P. H. Damgaard, Poul H. Damgaard, Shinsuke M. Nishigaki +1 · 8 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Quantum Chromodynamics and Particle Interactions #Spectral Theory in Mathematical Physics #hep-th

paper · pdf · doi:10.1016/s0550-3213(98)00123-0

published as Nucl.Phys. B518 (1998) 495-512 · 15 pages, LaTeX. Typographical errors corrected. Note added

arxiv created 1998/01/22 · openalex publication_date 1998/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We derive the large-N spectral correlators of complex matrix ensembles with weights that in the context of Dirac spectra correspond to N_f massive fermions, and prove that the results are universal in the appropriate scaling limits. The resulting microscopic spectral densities satisfy exact spectral sum rules of massive Dirac operators in QCD.

Citations

• Dirac spectrum in QCD and quark masses

Cited by

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• Dirac spectrum of one-flavor QCD atθ=0and continuity of the chiral condensate
• Eigenvalue spectrum of massless Dirac operators on the lattice
• Spectral sum rules of the Dirac operator and partially quenched chiral condensates
• Massive chiral random matrix ensembles atβ=1and 4: QCD Dirac operator spectra
• Staggered fermions and gauge field topology