Distributions of Dirac operator eigenvalues

DOI10.1016/j.physletb.2003.12.024zbMath1246.81054arXivhep-th/0311171OpenAlexW2068402430MaRDI QIDQ447078

Gernot Akemann, Poul H. Damgaard

Publication date: 9 September 2012

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0311171

zbMATH Keywords

random matrix theoryDirac operator eigenvalues

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Random matrices (algebraic aspects) (15B52)

Related Items (12)

Consecutive level spacings in the chiral Gaussian unitary ensemble: from the hard and soft edge to the bulk ⋮ Individual eigenvalue distributions for the Wilson Dirac operator ⋮ On matrix model partition functions for QCD with chemical potential ⋮ Chiral symmetry breaking at large \(N_c\) ⋮ Unquenched QCD Dirac operator spectra at nonzero baryon chemical potential ⋮ Equivalence of QCD in the \(\epsilon\)-regime and chiral random matrix theory with or without chemical potential ⋮ Random matrix theory for the Hermitian Wilson Dirac operator and the chGUE-GUE transition ⋮ On the largest singular values of random matrices with independent Cauchy entries ⋮ Janossy densities for chiral random matrix ensembles and their applications to two-color QCD ⋮ Gap probabilities in non-Hermitian random matrix theory ⋮ Preserving topology while breaking chirality: from chiral orthogonal to anti-symmetric Hermitian ensemble ⋮ MATRIX MODELS AND QCD WITH CHEMICAL POTENTIAL

Cites Work

• Universality of random matrices in the microscopic limit and the Dirac operator spectrum
• The microscopic spectral density of the QCD Dirac operator
• The spectral density of the QCD Dirac operator and patterns of chiral symmetry breaking
• The spectrum of the Dirac operator near zero virtuality for \(N_ c=2\) and chiral random matrix theory.
• Replica Limit of the Toda Lattice Equation
• Quark Spectra, Topology, and Random Matrix Theory
• Eigenvalue distributions of the QCD Dirac operator

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