Overlap Quark Propagator in Landau Gauge

Abstract

The properties of the quark propagator in Landau gauge in quenched QCD are examined for the overlap quark action. The overlap quark action satisfies the Ginsparg-Wilson relation and as such provides an exact lattice realization of chiral symmetry. This in turn implies that the quark action is free of $\mathcal{O}(a)$ errors. We present results using the standard Wilson fermion kernel in the overlap formalism on a $12^3\times 24$ lattice at a spacing of 0.125 fm. We obtain the nonperturbative momentum-dependent wavefunction renormalization function $Z(p)$ and the nonperturbative mass function $M(p)$ for a variety of bare masses. We perform a simple extrapolation to the chiral limit for these functions. We clearly observe the dynamically generated infrared mass and confirm the qualitative behavior found for the Landau gauge quark propagator in earlier studies. We attempt to extract the quark condensate from the asymptotic behavior of the mass function in the chiral limit.

28 pages, 9 figures

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• Improving the low-lying spectrum of the overlap kernel

Cited by in corpus (49)

• Non-perturbative Propagators, Running Coupling and Dynamical Quark Mass of Landau gauge QCD
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• Unquenched quark propagator in Landau gauge
• Scaling behavior of quark propagator in full QCD
• Lattice quark propagator with staggered quarks in Landau and Laplacian gauges
• Quark-gluon vertex from lattice QCD
• Strong Decays of Light Vector Mesons
• Modelling the quark propagator
• Multiplicative renormalizability and quark propagator
• Quark propagator with two flavors of O(a)-improved Wilson fermions
• Unquenching effects in the quark and gluon propagator
• What the Gribov copy tells on the confinment and the theory of dynamical chiral symmetry breaking
• Quark propagator in Landau and Laplacian gauges with overlap fermions
• Infrared and ultraviolet properties of the Landau gauge quark propagator
• Quark propagator and vertex: systematic corrections of hypercubic artifacts from lattice simulations
• Connection between centre vortices and instantons through gauge-field smoothing
• Center vortices and the quark propagator in SU(2) gauge theory
• Convergence Rate and Locality of Improved Overlap Fermions
• Running mass, effective energy and confinement: the lattice quark propagator in Coulomb gauge
• Scaling behavior of the overlap quark propagator in Landau gauge
• The chirally improved quark propagator and restoration of chiral symmetry
• Momentum space topological invariants for the 4D relativistic vacua with mass gap
• Non-perturbative Propagators, Running Coupling and Dynamical Mass Generation in Ghost-Antighost Symmetric Gauges in QCD
• Estimate of the chiral condensate in quenched lattice QCD
• Quark-gluon vertex with an off-shell O(a)-improved chiral fermion action
• The FLIC Overlap Quark Propagator
• Nonperturbative renormalization of composite operators with overlap fermions
• 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
• Quark Propagation in the Instantons of Lattice QCD
• Nonperturbative renormalisation of composite operators with overlap quarks
• Propagator of the lattice domain wall fermion and the staggered fermion
• Dynamical chiral-symmetry breaking at T=0 and $T\ne 0$ in the Schwinger-Dyson equation with lattice QCD data
• On the Landau-gauge adjoint quark propagator
• Towards the Continuum Limit of the Overlap Quark Propagator in Landau Gauge
• Overlap quark propagator near the physical pion mass
• Kugo-Ojima confinement and QCD Green's functions in covariant gauges
• QCD Green functions in a gluon field
• Numerical indication that center vortices drive dynamical mass generation in QCD
• Scaling Behavior of the Landau Gauge Overlap Quark Propagator
• The Kugo-Ojima confinement criterion and the Infrared Behavior of Landau gauge QCD
• Stout-link smearing in lattice fermion actions
• Pion observables calculated in Minkowski and Euclidean spaces with Ansätze for quark propagators
• Momentum space topology in the lattice gauge theory
• Chiral symmetry restoration in static-light mesons: chiral restoration theorem, the quark running mass m(k) and first chiral restoration signals in the lattice QCD spectra
• Gauge-fixed Lattice QCD and the dispersion relation of Wilson fermions
• Computational Methods in Quantum Field Theory
• Remnants of quark model in lattice QCD simulation in the Coulomb gauge
• Lattice QCD, gauge fixing, and the transition to the perturbative regime