The chirally improved quark propagator and restoration of chiral symmetry

Abstract

The chirally improved (CI) quark propagator in Landau gauge is calculated in two flavor lattice Quantum Chromodynamics. Its wave-function renormalization function $Z(p^2)$ and mass function $M(p^2)$ are studied. To minimize lattice artifacts, tree-level improvement of the propagator and tree-level correction of the lattice dressing functions is applied. Subsequently the CI quark propagator under Dirac operator low-mode removal is investigated. The dynamically generated mass in the infrared domain of the mass function is found to dissolve continuously as a function of the reduction level and strong suppression of $Z(p^2)$ for small momenta is observed.

9 pages, 8 figures; accepted at Phys. Lett. B

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• Symmetries of hadrons after unbreaking the chiral symmetry
• Quark propagator with two flavors of O(a)-improved Wilson fermions
• Coulomb, Landau and Maximally Abelian Gauge Fixing in Lattice QCD with Multi-GPUs
• Running mass, effective energy and confinement: the lattice quark propagator in Coulomb gauge
• Chiral Symmetry Breaking on the Lattice
• Momentum space topological invariants for the 4D relativistic vacua with mass gap
• Landau Gauge Fixing on GPUs
• Generalized unparticles, zeros of the Green function, and momentum space topology of the lattice model with overlap fermions
• Overlap Quark Propagator in Coulomb Gauge QCD and the Interrelation of Confinement and Chiral Symmetry Breaking
• On the Landau-gauge adjoint quark propagator
• Effects of the low lying Dirac modes on excited hadrons in lattice QCD
• Overlap quark propagator near the physical pion mass
• On the nature of an emergent symmetry in QCD
• Numerical indication that center vortices drive dynamical mass generation in QCD
• Recovering the chiral critical end-point via delocalization of quark interactions
• Effective Chiral Symmetry Restoration for Heavy-Light Mesons
• Momentum space topology in the lattice gauge theory
• Gauge fixing using overrelaxation and simulated annealing on GPUs
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• More effects of Dirac low-mode removal
• Gribov copies in the quark propagator