Quark-gluon vertex from the Landau gauge Curci-Ferrari model

Abstract

We investigate the quark-gluon three-point correlation function within a one-loop computation performed in the Curci-Ferrari massive extension of the Faddeev-Popov gauge-fixed action. The mass term is used as a minimal way for taking into account the influence of the Gribov ambiguity. Our results, with renormalization-group improvement, are compared with lattice data. We show that the comparison is in general very satisfactory for the functions which are compatible with chiral symmetry, except for one. We argue that this may be due to large systematic errors {when extracting this function from} lattice simulations. The quantities which break chiral symmetry are more sensitive to the details of the renormalization scheme. We however manage to reproduce some of them with good precision. The chosen parameters allow to simultaneously fit the quark mass function coming from the quark propagator with a reasonably agreement.

15 pages, 10 figures. One figure and references added. Minor modifications

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• Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders
• A fresh look at the (non-)Abelian Landau-Khalatnikov-Fradkin transformations
• Two-loop corrections to the QCD propagators within the Curci-Ferrari model
• The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking
• A Gribov-Zwanziger type action invariant under background gauge transformations
• One-loop unquenched three-gluon and ghost-gluon vertex in the Curci-Ferrari model
• Three-point vertex functions in Yang-Mills Theory and QCD in Landau gauge
• Small parameters in infrared QCD: The pion decay constant
• The Podolsky propagator in gap and bound-state equations
• Ghost-gluon vertex in the presence of the Gribov horizon: General kinematics
• On the low-energy spectrum of an SU(2) gauge theory with dynamical fermions
• QCD phase diagram from the gluon propagator at finite temperature and density
• Effects of a quark chemical potential on the analytic structure of the gluon propagator
• A window on infrared QCD with small expansion parameters
• Parton distribution and fragmentation functions with massive gluons
• One-loop analytic structure of the deep-infrared Landau-gauge gluon propagator at finite temperature