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Infrared and ultraviolet properties of the *Landau* *gauge* *quark* *propagator*

, 2004

"... We present a current summary of a program to study the quark propagator using lattice QCD. We use the Overlap and “Asqtad ” quark actions on a number of lattice ensembles to assess systematic errors. We comment on the place of this work amongst studies of QCD Green’s functions in other formulations. ..."

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We present a current summary of a program to study the

*quark**propagator*using lattice QCD. We use the Overlap and “Asqtad ”*quark*actions on a number of lattice ensembles to assess systematic errors. We comment on the place of this work amongst studies of QCD Green’s functions in other formulations###
Analytic structure of the *Landau* *gauge* gluon *propagator*

, 2004

"... Abstract. The results of different non-perturbative studies agree on a power law as the infrared behavior of the Landau gauge gluon propagator. This propagator violates positivity and thus indicates the absence of the transverse gluons from the physical spectrum, i.e. gluon confinement. A simple ana ..."

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analytic structure for the gluon

*propagator*is proposed capturing all of its features. We comment also on related investigations for the*Landau**gauge**quark**propagator*.###
Overlap *Quark* *Propagator* in *Landau* *Gauge* ADP-01-44/T476

, 2002

"... 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 o ..."

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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###
Analytic structure of the gluon and *quark* *propagators* in *Landau* *gauge* QCD ∗

, 2004

"... In Landau gauge QCD the infrared behavior of the propagator of transverse gluons can be analytically determined to be a power law from Dyson–Schwinger equations. This propagator clearly shows positivity violation, indicating the absence of the transverse gluons from the physical spectrum, i.e. gluon ..."

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.e. gluon confinement. A simple analytic structure for the gluon

*propagator*is proposed capturing all important features. We provide arguments that the*Landau**gauge**quark**propagator*possesses a singularity on the real timelike axis. For this*propagator*we find a positive definite Schwinger function###
*Quark* condensates and the deconfinement transition

, 2009

"... In this talk we present results on the chiral and the deconfinement transition of quenched QCD from Dyson-Schwinger equations. We determine the ordinary quark condensate signaling the chiral transition and the dual quark condensate signaling the deconfinement transition from the Landau gauge quark p ..."

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In this talk we present results on the chiral and the deconfinement transition of quenched QCD from Dyson-Schwinger equations. We determine the ordinary

*quark*condensate signaling the chiral transition and the dual*quark*condensate signaling the deconfinement transition from the*Landau**gauge**quark*###
1 Lattice *Quark* *Propagator* in *Landau* and Laplacian *Gauges*

, 2001

"... We present results for the lattice quark propagator in both Landau and Laplacian gauges using standard and improved staggered quark actions. The standard Kogut-Susskind action has errors ofO(a 2) while the improved “Asqtad ” action hasO(a 4),O(a 2 g 2) errors. This improvement is seen in the quark p ..."

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We present results for the lattice

*quark**propagator*in both*Landau*and Laplacian*gauges*using standard and improved staggered*quark*actions. The standard Kogut-Susskind action has errors ofO(a 2) while the improved “Asqtad ” action hasO(a 4),O(a 2 g 2) errors. This improvement is seen in the*quark*###
Scaling Behavior of the *Landau* *Gauge* Overlap *Quark* *Propagator*

, 2003

"... The properties of the momentum space quark propagator in Landau gauge are examined for the overlap quark action in quenched lattice QCD. Numerical calculations are done on three lattices with different lattice spacings and similar physical volumes to explore the approach of the quark propagator towa ..."

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The properties of the momentum space

*quark**propagator*in*Landau**gauge*are examined for the overlap*quark*action in quenched lattice QCD. Numerical calculations are done on three lattices with different lattice spacings and similar physical volumes to explore the approach of the*quark**propagator*###
KUGO–OJIMA CONFINEMENT CRITERION, ZWANZIGER–GRIBOV HORIZON CONDITION, AND INFRARED CRITICAL EXPONENTS IN *Landau* *Gauge* QCD

, 2003

"... The Kugo–Ojima confinement criterion and its relation to the infrared behaviour of the gluon and ghost propagators in Landau gauge QCD are reviewed. The realization of this confinement criterion (which in Landau gauge relates to Zwanziger’s horizon condition) results from quite general properties of ..."

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of the gluon spectral function is apparent in the gluon

*propagator*, there are no clear indications of positivity violations in the*Landau**gauge**quark**propagator*.###
The *Quark*-Gluon Vertex in *Landau* *gauge* QCD

, 2012

"... The coupled system of the quark-gluon vertex and quark propagator Dyson-Schwinger equations (DSEs) is investigated within Landau gauge QCD. The aim is to get a deeper insight into the mechanisms of quark confinement and dynamical chiral symmetry breaking and into a possible relation between these tw ..."

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The coupled system of the

*quark*-gluon vertex and*quark**propagator*Dyson-Schwinger equations (DSEs) is investigated within*Landau**gauge*QCD. The aim is to get a deeper insight into the mechanisms of*quark*confinement and dynamical chiral symmetry breaking and into a possible relation between