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793
Infrared Exponents and the Running Coupling of Landau gauge QCD and their Relation to Confinement
, 2002
"... Abstract. The infrared behaviour of the gluon and ghost propagators in Landau gauge QCD is reviewed. The Kugo–Ojima confinement criterion and the Gribov–Zwanziger horizon condition result from quite general properties of the ghost Dyson–Schwinger equation. The numerical solutions for the gluon and g ..."
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Abstract. The infrared behaviour of the gluon and ghost propagators in Landau gauge QCD is reviewed. The Kugo–Ojima confinement criterion and the Gribov–Zwanziger horizon condition result from quite general properties of the ghost Dyson–Schwinger equation. The numerical solutions for the gluon
Spurious divergences in DysonSchwinger equations
"... Abstract: We revisit the treatment of spurious ultraviolet divergences in the equation of motion of the gluon propagator caused by a momentum cutoff and the resulting violation of gauge invariance. With present continuum studies of the gluon propagator from its DysonSchwinger equation reaching the ..."
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perturbative aspects such as mass terms or the asymptotic infrared behavior. As a particular example, this allows us to assess the possible influence of the tadpole diagram beyond perturbation theory. Finally, we test this method numerically by solving the system of DysonSchwinger equations of the gluon and ghost
Spurious divergences in DysonSchwinger equations
, 2014
"... We revisit the treatment of spurious ultraviolet divergences in the equation of motion of the gluon propagator caused by a momentum cutoff and the resulting violation of gauge invariance. With present continuum studies of the gluon propagator from its DysonSchwinger equation reaching the level of q ..."
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perturbative aspects such as mass terms or the asymptotic infrared behavior. As a particular example, this allows us to assess the possible influence of the tadpole diagram beyond perturbation theory. Finally, we test this method numerically by solving the system of DysonSchwinger equations of the gluon and ghost
A Solution to Coupled DysonSchwinger Equations for Gluons and Ghosts in Landau Gauge
, 1997
"... Introduction The main objective of this talk is to present results for the basic QCD propagators and for the running coupling. Knowledge of these quantities may yield further insight into the physical nature of confinement. One appealing possibility to describe confinement is to ascribe the suppres ..."
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is desirable. Both of these are provided by studies of truncated systems of DysonSchwinger equations (DSEs), the equations of motion of QCD Green's functions. Typically, for their truncation, additional sources of information like the SlavnovTaylor identities, entailed by gauge invariance, 1 are used
A Solution to Coupled Dyson–Schwinger Equations for Gluons and Ghosts in Landau Gauge
, 1997
"... A truncation scheme for the Dyson–Schwinger equations of QCD in Landau gauge is presented which implements the Slavnov–Taylor identities for the 3–point vertex functions. Neglecting contributions from 4–point correlations such as the 4–gluon vertex function and irreducible scattering kernels, a clos ..."
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A truncation scheme for the Dyson–Schwinger equations of QCD in Landau gauge is presented which implements the Slavnov–Taylor identities for the 3–point vertex functions. Neglecting contributions from 4–point correlations such as the 4–gluon vertex function and irreducible scattering kernels, a
A Solution to Coupled Dyson–Schwinger Equations for Gluons and Ghosts in Landau Gauge
, 1998
"... A truncation scheme for the Dyson–Schwinger equations of QCD in Landau gauge is presented which implements the Slavnov–Taylor identities for the 3–point vertex functions. Neglecting contributions from 4–point correlations such as the 4–gluon vertex function and irreducible scattering kernels, a clos ..."
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A truncation scheme for the Dyson–Schwinger equations of QCD in Landau gauge is presented which implements the Slavnov–Taylor identities for the 3–point vertex functions. Neglecting contributions from 4–point correlations such as the 4–gluon vertex function and irreducible scattering kernels, a
Twoloop Improved Truncation of the GhostGluon DysonSchwinger Equations:
, 2003
"... Abstract. The coupled DysonSchwinger equations for the gluon and ghost propagators are investigated in the Landau gauge using a twoloop improved truncation that preserves the multiplicative renormalizability of the propagators. In this truncation all diagrams contribute to the leading order infrar ..."
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Abstract. The coupled DysonSchwinger equations for the gluon and ghost propagators are investigated in the Landau gauge using a twoloop improved truncation that preserves the multiplicative renormalizability of the propagators. In this truncation all diagrams contribute to the leading order
Vertex Sensitivity in the SchwingerDyson Equations of QCD
"... The nonperturbative gluon and ghost propagators in Landau gauge QCD are obtained using the SchwingerDyson equation approach. The propagator equations are solved in Euclidean space using Landau gauge with a range of vertex inputs. Initially we solve for the ghost alone, using a model gluon input, w ..."
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The nonperturbative gluon and ghost propagators in Landau gauge QCD are obtained using the SchwingerDyson equation approach. The propagator equations are solved in Euclidean space using Landau gauge with a range of vertex inputs. Initially we solve for the ghost alone, using a model gluon input
SchwingerDyson Equations and Dynamical gluon mass generation
"... We discuss the solutions obtained for the gluon propagador in Landau gauge within two distinct approximations for the SchwingerDyson equations (SDE). The first, named Mandelstam’s approximation, consist in neglecting all contributions that come from fermions and ghosts fields while in the second, ..."
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We discuss the solutions obtained for the gluon propagador in Landau gauge within two distinct approximations for the SchwingerDyson equations (SDE). The first, named Mandelstam’s approximation, consist in neglecting all contributions that come from fermions and ghosts fields while in the second
Infrared Exponents and the Running Coupling of Landau gauge QCD and their Relation to Confinement
, 2002
"... The infrared behaviour of the gluon and ghost propagators in Landau gauge QCD is reviewed. The Kugo–Ojima confinement criterion and the Gribov–Zwanziger horizon condition result from quite general properties of the ghost Dyson–Schwinger equation. The numerical solutions for the gluon and ghost pro ..."
Abstract
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The infrared behaviour of the gluon and ghost propagators in Landau gauge QCD is reviewed. The Kugo–Ojima confinement criterion and the Gribov–Zwanziger horizon condition result from quite general properties of the ghost Dyson–Schwinger equation. The numerical solutions for the gluon and ghost
Results 1  10
of
793