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Spectral density of the Dirac operator in two-flavour QCD
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We compute the spectral density of the (Hermitean) Dirac operator in Quantum Chromodynamics with two light degenerate quarks near the origin. We use CLS/ALPHA lattices generated with two flavours of O(a)-improved Wilson fermions corresponding to pseudoscalar meson masses down to 190 MeV, and with spacings in the range 0.05-0.08 fm. Thanks to the coverage of parameter space, we can extrapolate our data to the chiral and continuum limits with confidence. The results show that the spectral density at the origin is non-zero because the low modes of the Dirac operator do condense as expected in the Banks-Casher mechanism. Within errors, the spectral density turns out to be a constant function up to eigenvalues of approximately 80 MeV. Its value agrees with the one extracted from the Gell-Mann-Oakes-Renner relation.
Forward citations
Cited by 3 Pith papers
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Impact of Dynamical Charm Quark and Mixed Action Effect on Light Hadron Masses and Decay Constants
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A review showing that if a QCD-like theory with enough massless flavors is fully color-screened in the infrared, then chiral symmetry must be spontaneously broken.
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Chiral Symmetry Breaking on the Lattice
A review of chiral symmetry breaking in QCD on the lattice, deriving the Banks-Casher relation and summarizing lattice results for the chiral condensate.
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