Infrared behaviour of the ghost-gluon vertex in Landau gauge Yang-Mills theory

Abstract

A semi-perturbative calculation of the ghost-gluon vertex in Landau gauge Yang-Mills theory in four and three Euclidean space-time dimensions is presented. Non-perturbative gluon and ghost propagators are employed, which have previously been calculated from a truncated set of Dyson--Schwinger equations and which are in qualitative and quantitative agreement with corresponding lattice results. Our results for the ghost-gluon vertex show only relatively small deviations from the tree-level one in agreement with recent lattice data. In particular, we do not see any sign for a singular behaviour of the ghost-gluon vertex in the infrared.

arXiv comment9 pages, 5 figures, to be published in Phys. Rev. D, appendix added

References in corpus (33)

• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• Dyson-Schwinger equations: a tool for hadron physics
• The Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD
• On the Infrared Exponent for Gluon and Ghost Propagation in Landau Gauge QCD
• A Solution to Coupled Dyson-Schwinger Equations for Gluons and Ghosts in Landau Gauge
• Non-perturbative Propagators, Running Coupling and Dynamical Quark Mass of Landau gauge QCD
• Non-perturbative Landau gauge and infrared critical exponents in QCD
• Coulomb Gauge QCD, Confinement, and the Constituent Representation
• Analytic properties of the Landau gauge gluon and quark propagators
• Infrared behaviour and fixed points in Landau gauge QCD
• Variational solution of the Yang-Mills Schrödinger equation in Coulomb gauge
• Non-perturbative Faddeev-Popov formula and infrared limit of QCD
• Infrared Exponents and Running Coupling of SU(N) Yang-Mills Theories
• Vertex functions and infrared fixed point in Landau gauge SU(N) Yang-Mills theory
• Unquenched Gluon Propagator in Landau Gauge
• The Elusiveness of Infrared Critical Exponents in Landau Gauge Yang--Mills Theories
• On the Yang-Mills wave functional in Coulomb gauge
• Renormalization flow of Yang-Mills propagators
• Positivity violation for the lattice Landau gluon propagator
• Numerical Study of the Ghost-Gluon Vertex in Landau gauge
• Verifying the Kugo-Ojima Confinement Criterion in Landau Gauge Yang-Mills Theory
• The Heavy Quark Potential from Wilson's Exact Renormalization Group
• High-Temperature Limit of Landau-Gauge Yang-Mills Theory
• Center Vortices and the Gribov Horizon
• Signals of confinement in Green functions of SU(2) Yang-Mills theory
• Analytic calculation of color-Coulomb potential and color confinement
• The Universal Renormalization Factors Z_1/Z_3 and Color Confinement Condition in Non-Abelian Gauge Theory
• The gluon and ghost propagator and the influence of Gribov copies
• Quark and gluon confinement in Coulomb gauge
• Dynamical Mass Generation in Landau gauge QCD
• Semiperturbative construction for the quark-gluon vertex
• Residual Confinement in High-Temperature Yang-Mills Theory

Cited by in corpus (76)

• Infrared Properties of QCD from Dyson-Schwinger equations
• On the infrared behavior of Landau gauge Yang-Mills theory
• Gauge bosons at zero and finite temperature
• Light mesons in QCD and unquenching effects from the 3PI effective action
• The Infrared Behaviour of the Pure Yang-Mills Green Functions
• Vertex functions and infrared fixed point in Landau gauge SU(N) Yang-Mills theory
• Analytic structure of the Landau gauge gluon propagator
• Three-point vertices in Landau-gauge Yang-Mills theory
• The three-gluon vertex in Landau gauge
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory II
• Exploratory study of three-point Green's functions in Landau-gauge Yang-Mills theory
• Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge
• Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
• Probing Unquenching Effects in the Gluon Polarisation in Light Mesons
• Constructing non-perturbative gauges using correlation functions
• More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
• Infrared singularities in Landau gauge Yang-Mills theory
• On the influence of three-point functions on the propagators of Landau gauge Yang-Mills theory
• A Dyson-Schwinger study of the four-gluon vertex
• Correlation functions of Landau gauge Yang-Mills theory
• Infrared analysis of propagators and vertices of Yang--Mills theory in Landau and Coulomb gauge
• Gluon propagator and three-gluon vertex with dynamical quarks
• Gauge Sector Dynamics in QCD
• Ghost propagator and ghost-gluon vertex from Schwinger-Dyson equations
• Nontrivial ghost-gluon vertex and the match of RGZ, DSE and lattice Yang-Mills propagators
• Landau gauge Yang-Mills propagators in the complex momentum plane
• Ghost spectral function from the spectral Dyson-Schwinger equation
• Algorithmic derivation of Dyson-Schwinger Equations
• The running coupling from the four-gluon vertex in Landau gauge Yang-Mills theory
• Equation of State of Gluon Plasma from Local Action
• Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations
• Large volume behaviour of Yang-Mills propagators
• The Coulomb gauge ghost Dyson-Schwinger equation
• Nonperturbative Ball-Chiu construction of the three-gluon vertex
• Nonperturbative structure of the ghost-gluon kernel
• Ghost dynamics in the soft gluon limit
• On the leading OPE corrections to the ghost-gluon vertex and the Taylor theorem
• Infrared Behavior of Three-Point Functions in Landau Gauge Yang-Mills Theory
• Emergence of mass in the gauge sector of QCD
• On non-primitively divergent vertices of Yang-Mills theory
• CrasyDSE: A framework for solving Dyson-Schwinger equations
• Some non-renormalization theorems in Curci-Ferrari model
• Infrared Behaviour and Running Couplings in Interpolating Gauges in QCD
• On the infrared scaling solution of SU(N) Yang-Mills theories in the maximally Abelian gauge
• Infrared finite ghost propagator in the Feynman gauge
• On the spectrum of the Faddeev-Popov operator in topological background fields
• Features of ghost-gluon and ghost-quark bound states related to BRST quartets
• Dynamically induced scalar quark confinement
• A first look at Landau-gauge propagators in G2 Yang-Mills theory
• Probing the tensor structure of lattice three-gluon vertex in Landau gauge
• Solving coupled Dyson--Schwinger equations on a compact manifold
• Hamiltonian Approach to 1+1 dimensional Yang-Mills theory in Coulomb gauge
• Landau gauge ghost and gluon propagators and the Faddeev-Popov operator spectrum
• Slavnov-Taylor identities in Coulomb gauge Yang-Mills theory
• On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators
• Bethe-Salpeter studies of mesons beyond rainbow-ladder
• Lattice Landau gauge with stochastic quantisation
• Vertex functions of Coulomb gauge Yang--Mills theory
• The ghost-gluon vertex in Hamiltonian Yang-Mills theory in Coulomb gauge
• Novel sum rules for the three-point sector of QCD
• Gluon mass scale through the Schwinger mechanism
• Three-point vertex functions in Yang-Mills Theory and QCD in Landau gauge
• Dyson-Schwinger approach to strongly coupled theories
• Four-gluon vertex from the Curci-Ferrari model at one-loop order
• On the complex structure of Yang-Mills theory
• What the Infrared Behaviour of QCD Vertex Functions in Landau gauge can tell us about Confinement
• Exploratory study of the temperature dependence of magnetic vertices in SU(2) Landau gauge Yang--Mills theory
• Studying unquenching effects in QCD with Dyson-Schwinger equations
• Schwinger-Dyson Equations in Coulomb Gauge Consistent with Numerical Simulation
• Finite-Temperature Yang-Mills Theory in Landau Gauge
• Hamiltonian approach to Yang-Mills theory in Coulomb gauge
• Roles of the color antisymmetric ghost propagator in the infrared QCD
• Quark sector of Coulomb gauge Quantum Chromodynamics
• QCD Green's Functions and Phases of Strongly-Interacting Matter
• Dynamically induced scalar quark confinement: A link between chiral symmetry breaking and confinement
• The four-gluon vertex and the running coupling in Landau gauge Yang-Mills theory