Determination of the chiral condensate from QCD Dirac spectrum on the lattice

Abstract

We calculate the chiral condensate of QCD with 2, 2+1 and 3 flavors of sea quarks. Lattice QCD simulations are performed employing dynamical overlap fermions with up and down quark masses covering a range between 3 and 100 MeV. On L ~ 1.8-1.9 fm lattices at a lattice spacing ~ 0.11 fm, we calculate the eigenvalue spectrum of the overlap-Dirac operator. By matching the lattice data with the analytical prediction from chiral perturbation theory at the next-to-leading order, the chiral condensate in the massless limit of up and down quarks is determined.

38 pages, 11 figures, minor corrections, version appearing in PRD

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Cited by in corpus (26)

• FLAG Review 2019
• FLAG Review 2021
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• Twenty-first Century Lattice Gauge Theory: Results from the QCD Lagrangian
• Crystalline chiral condensates off the tricritical point in a generalized Ginzburg-Landau approach
• Chiral condensate from the twisted mass Dirac operator spectrum
• Random Matrix Theory for the Hermitian Wilson Dirac Operator and the chGUE-GUE Transition
• Chiral Symmetry Breaking on the Lattice
• Chiral symmetry breaking in QCD Lite
• Lattice computation of the Dirac eigenvalue density in the perturbative regime of QCD
• Computation of the electromagnetic pion form factor from lattice QCD in the epsilon regime
• Leading order mesonic and baryonic SU(3) low energy constants from $N_f=3$ lattice QCD
• A Numerical Study of the 2-Flavour Schwinger Model with Dynamical Overlap Hypercube Fermions
• Interpolation between the epsilon and p regimes
• Quark mass anomalous dimension and ${\Lambda }_{\overline{\text{MS}}}$ from the twisted mass Dirac operator spectrum
• Chiral Condensate and Spectral Density at full five-loop and partial six-loop orders of Renormalization Group Optimized Perturbation
• Distance between various discretized fermion actions
• QCD Anderson transition with overlap valence quarks on a twisted-mass sea
• Partial restoration of chiral symmetry in the color flux tube
• Consecutive level spacings in the chiral Gaussian unitary ensemble: From the hard and soft edge to the bulk
• The gradient flow of the Dirac spectrum
• Stochastic calculation of the Dirac spectrum on the lattice and a determination of chiral condensate in 2+1-flavor QCD
• A walk through the world of chiral dynamics
• Index theorem with Minimally Doubled Fermions in four space-time dimensions