The ghost-antighost-gluon vertex from the Curci-Ferrari model: Two-loop corrections

Abstract

The Curci-Ferrari model has been shown to provide a good grasp on pure Yang-Mills correlation functions in the Landau gauge, already at one-loop order. In a recent work, the robustness of these results has been tested by evaluating the two-loop corrections to the gluon and ghost propagators. We pursue this systematic investigation by computing the ghost-antighost-gluon vertex to the same accuracy in a particular kinematic configuration that makes the calculations simpler. Because both the parameters of the model and the normalizations of the fields have already been fixed in a previous work, the present calculation represents both a pure prediction and a stringent test of the approach. We find that the two-loop results systematically improve the comparison to Monte-Carlo simulations as compared to earlier one-loop results. The improvement is particularly significative in the SU($3$) case where the predicted ghost-antighost-gluon vertex is in very good agreement with the data. The same comparison in the SU($2$) case is not as good, however. This may be due to the presence of a larger coupling constant in the infrared in that case although we note that a similar mismatch has been quoted in non-perturbative continuum approaches. Despite these features of the SU($2$) case, it is possible to find sets of parameters fitting both the propagators and the ghost-antighost-gluon vertex to a reasonable accuracy.

arXiv comment31 pages, 12 figures

References in corpus (85)

• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• 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
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Algorithm FIRE -- Feynman Integral REduction
• On the infrared behavior of Landau gauge Yang-Mills theory
• The Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• The QCD phase structure at finite temperature and density
• On the Infrared Exponent for Gluon and Ghost Propagation in Landau Gauge QCD
• Explanation and Prediction of Observables using Continuum Strong QCD
• Non-perturbative Landau gauge and infrared critical exponents in QCD
• Infrared behaviour and fixed points in Landau gauge QCD
• Landau gauge Yang-Mills correlation functions
• The Gribov problem and QCD dynamics
• Gauge bosons at zero and finite temperature
• Infrared propagators of Yang-Mills theory from perturbation theory
• On the IR behaviour of the Landau-gauge ghost propagator
• Non-perturbative Faddeev-Popov formula and infrared limit of QCD
• Hadron Properties and Dyson-Schwinger Equations
• Up, down, strange and charm quark masses with Nf = 2+1+1 twisted mass lattice QCD
• The Infrared Behaviour of the Pure Yang-Mills Green Functions
• Infrared Exponents and Running Coupling of SU(N) Yang-Mills Theories
• Infinite Volume and Continuum Limits of the Landau-Gauge Gluon Propagator
• Modeling the Gluon Propagator in Landau Gauge: Lattice Estimates of Pole Masses and Dimension-Two Condensates
• Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge
• Scaling behavior and positivity violation of the gluon propagator in full QCD
• An Infrared Safe perturbative approach to Yang-Mills correlators
• Three-point vertices in Landau-gauge Yang-Mills theory
• The lattice Landau gauge gluon propagator: lattice spacing and volume dependence
• The pion: an enigma within the Standard Model
• Three-point correlation functions in Yang-Mills theory
• TSIL: a program for the calculation of two-loop self-energy integrals
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory II
• IR finiteness of the ghost dressing function from numerical resolution of the ghost SD equation
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory
• Renormalization flow of Yang-Mills propagators
• Positivity violation for the lattice Landau gluon propagator
• The anomalous dimension of the composite operator A^2 in the Landau gauge
• Infrared Behavior of the Gluon Propagator on a Large Volume Lattice
• Two- and three-point Green's functions in two-dimensional Landau-gauge Yang-Mills theory
• An exact nilpotent non-perturbative BRST symmetry for the Gribov-Zwanziger action in the linear covariant gauge
• Light baryon masses with dynamical twisted mass fermions
• SU(2) lattice gluon propagator: continuum limit, finite-volume effects and infrared mass scale m_IR
• Three loop MSbar renormalization of the Curci-Ferrari model and the dimension two BRST invariant composite operator in QCD
• Deconfinement transition in SU(N) theories from perturbation theory
• Large momentum expansion of two-loop self-energy diagrams with arbitrary masses
• Two-point correlation functions of QCD in the Landau gauge
• Correlation functions of Landau gauge Yang-Mills theory
• Infrared analysis of propagators and vertices of Yang--Mills theory in Landau and Coulomb gauge
• The Heavy Quark Potential from Wilson's Exact Renormalization Group
• QCD in the Infrared with Exact Angular Integrations
• Is the QCD ghost dressing function finite at zero momentum ?
• The infrared behavior of Landau gauge Yang-Mills theory in d=2, 3 and 4 dimensions
• Power-law running of the effective gluon mass
• How nonperturbative is the infrared regime of Landau gauge Yang-Mills correlators?
• Deconfinement transition in SU(2) Yang-Mills theory: A two-loop study
• High-Temperature Limit of Landau-Gauge Yang-Mills Theory
• Two-loop study of the deconfinement transition in Yang-Mills theories: SU(3) and beyond
• Two loop calculation of Yang-Mills propagators in the Curci-Ferrari model
• On the renormalizability and unitarity of the Curci-Ferrari model for massive vector bosons
• Two- and three-point functions in two-dimensional Landau-gauge Yang-Mills theory: Continuum results
• Non-perturbative aspects of Euclidean Yang-Mills theories in linear covariant gauges: Nielsen identities and a BRST invariant two-point correlation function
• Gluon-propagator functional form in the Landau gauge in SU(3) lattice QCD: Yukawa-type gluon propagator and anomalous gluon spectral function
• Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations
• A covariant variational approach to Yang-Mills Theory
• Two-loop three-gluon vertex in zero-momentum limit
• A perturbative study of the QCD phase diagram for heavy quarks at nonzero chemical potential: two-loop corrections
• Small parameters in infrared quantum chromodynamics
• Quark-gluon vertex from the Landau gauge Curci-Ferrari model
• Zero-threshold expansion of two-loop self-energy diagrams
• Proton tensor charges from a Poincaré-covariant Faddeev equation
• Decontracted double BRST on the lattice
• Some non-renormalization theorems in Curci-Ferrari model
• Universal aspects of the phase diagram of QCD with heavy quarks
• Yang-Mills correlators across the deconfinement phase transition
• A covariant variational approach to Yang-Mills Theory at finite temperatures
• Gauged supersymmetries in Yang-Mills theory
• Epsilon expansion for infrared Yang-Mills theory in Landau gauge
• The Saga of Landau-Gauge Propagators: Gathering New Ammo
• N* Structure and Strong QCD
• Localized rainbows in the QCD phase diagram
• Quasigluon lifetime and confinement from first principles
• Constraining the gauge-fixed Lagrangian in minimal Landau gauge
• Gauge engineering and propagators

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• Gauge Sector Dynamics in QCD
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• Ghost spectral function from the spectral Dyson-Schwinger equation
• Ghost dynamics in the soft gluon limit
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• Spontaneous chiral symmetry breaking in the massive Landau gauge: realistic running coupling
• Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders
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• One-loop unquenched three-gluon and ghost-gluon vertex in the Curci-Ferrari model
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• Ghost-gluon vertex in the presence of the Gribov horizon: General kinematics
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• Parton distribution and fragmentation functions with massive gluons
• On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects
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