Ghost propagator and ghost-gluon vertex from Schwinger-Dyson equations

Abstract

We study an approximate version of the Schwinger-Dyson equation that controls the nonperturbative behavior of the ghost-gluon vertex, in the Landau gauge. In particular, we focus on the form factor that enters in the dynamical equation for the ghost dressing function, in the same gauge, and derive its integral equation, in the "one-loop dressed" approximation. We consider two special kinematic configurations, which simplify the momentum dependence of the unknown quantity; in particular, we study the soft gluon case, and the well-known Taylor limit. When coupled with the Schwinger-Dyson equation of the ghost dressing function, the contribution of this form factor provides considerable support to the relevant integral kernel. As a consequence, the solution of this coupled system of integral equations furnishes a ghost dressing function that reproduces the standard lattice results rather accurately, without the need to artificially increase the value of the gauge coupling.

23 pages, 7 figures

References in corpus (17)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Infrared Properties of QCD from Dyson-Schwinger equations
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• Pinch Technique: Theory and Applications
• Non-perturbative comparison of QCD effective charges
• Quark flavour effects on gluon and ghost propagators
• Scaling behavior and positivity violation of the gluon propagator in full QCD
• Three-point vertices in Landau-gauge Yang-Mills theory
• The lattice Landau gauge gluon propagator: lattice spacing and volume dependence
• Gluon mass generation in the PT-BFM scheme
• Chiral symmetry breaking with lattice propagators
• Infrared behaviour of the ghost-gluon vertex in Landau gauge Yang-Mills theory
• Gauge-invariant truncation scheme for the Schwinger-Dyson equations of QCD
• Does The Lattice Zero Momentum Gluon Propagator for Pure Gauge SU(3) Yang-Mills Theory Vanish in the Infinite Volume Limit?
• Nontrivial ghost-gluon vertex and the match of RGZ, DSE and lattice Yang-Mills propagators

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