Chiral condensate from the twisted mass Dirac operator spectrum

Abstract

We present the results of our computation of the chiral condensate with $N_f=2$ and $N_f=2+1+1$ flavours of maximally twisted mass fermions. The condensate is determined from the Dirac operator spectrum, applying the spectral projector method proposed by Giusti and Luscher. We use 3 lattice spacings and several quark masses at each lattice spacing to perform the chiral and continuum extrapolations. We study the effect of the dynamical strange and charm quarks by comparing our results for $N_f=2$ and $N_f=2+1+1$ dynamical flavours.

Final version accepted for publication in JHEP, 25 pages, 6 figures

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• The condensate for two dynamical chirally improved quarks in QCD
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• Staggered chiral perturbation theory in the two-flavor case and SU(2) analysis of the MILC data
• Computation of the chiral condensate using $N_f=2$ and $N_f=2+1+1$ dynamical flavors of twisted mass fermions
• Direct determination of strange and light quark condensates from full lattice QCD
• Corrections to the Banks-Casher relation with Wilson quarks

Cited by in corpus (20)

• FLAG Review 2019
• FLAG Review 2021
• Non-perturbative Test of the Witten-Veneziano Formula from Lattice QCD
• Spectral density of the Dirac operator in two-flavour QCD
• Topological susceptibility from twisted mass fermions using spectral projectors and the gradient flow
• Chiral Symmetry Breaking on the Lattice
• Chiral symmetry breaking in QCD Lite
• Exclusive semileptonic $B_s\to K\ell \nu$ decays on the lattice
• Topological susceptibility from the twisted mass Dirac operator spectrum
• A non-perturbative mechanism for elementary particle mass generation
• Quark chiral condensate from the overlap quark propagator
• 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
• Computation of the chiral condensate using $N_f=2$ and $N_f=2+1+1$ dynamical flavors of twisted mass fermions
• One-meson-loop NJL model: Effect of collective and noncollective excitations on the quark condensate at finite temperature
• Topological susceptibility from twisted mass fermions using spectral projectors
• Short distance singularities and automatic O($a$) improvement: the cases of the chiral condensate and the topological susceptibility
• Chiral condensate from the Banks-Casher relation
• Wilson chiral perturbation theory for dynamical twisted mass fermions vs lattice data - a case study
• Impact of Dynamical Charm Quark and Mixed Action Effect on Light Hadron Masses and Decay Constants