The quark-gluon vertex in Landau gauge bound-state studies
arXiv:1404.2545 · doi:10.1140/epja/i2015-15057-4
Abstract
We present a practical method for the solution of the quark-gluon vertex for use in Bethe--Salpeter and Dyson--Schwinger calculations. The efficient decomposition into the necessary covariants is detailed, with the numerical algorithm outlined for both real and complex Euclidean momenta. A truncation of the quark-gluon vertex, that neglects explicit back-coupling to enable the application to bound-state calculations, is given together with results for the quark propagator and quark-gluon vertex for different quark flavours. The relative impact of the various components of the quark-gluon vertex is highlighted with the flavour dependence of the effective quark-gluon interaction obtained, thus providing insight for the construction of phenomenological models within Rainbow-Ladder. Finally, we solve the corresponding Green's functions for complex Euclidean momenta as required in future bound-state calculations.
arXiv comment14 pages, 12 figures. Version to appear in EPJA
References in corpus (93)
- Dyson-Schwinger Equations and the Application to Hadronic Physics
- The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
- Dyson-Schwinger equations: a tool for hadron physics
- pi- and K-meson Bethe-Salpeter Amplitudes
- Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
- Infrared Properties of QCD from Dyson-Schwinger equations
- Bethe-Salpeter Study of Vector Meson Masses and Decay Constants
- Pion mass and decay constant
- On the infrared behavior of Landau gauge Yang-Mills theory
- Goldstone Theorem and Diquark Confinement Beyond Rainbow-Ladder Approximation
- Collective perspective on advances in Dyson-Schwinger Equation QCD
- On the Infrared Exponent for Gluon and Ghost Propagation in Landau Gauge QCD
- Explanation and Prediction of Observables using Continuum Strong QCD
- Chiral symmetry breaking in continuum QCD
- Infrared behaviour and fixed points in Landau gauge QCD
- Sketching the Bethe-Salpeter kernel
- Dynamical Chiral Symmetry Breaking, Goldstone's Theorem and the Consistency of the Schwinger--Dyson and Bethe--Salpeter Equations
- Unquenched quark propagator in Landau gauge
- Pion electromagnetic form factor at spacelike momenta
- Dressed-quark anomalous magnetic moments
- Vertex functions and infrared fixed point in Landau gauge SU(N) Yang-Mills theory
- The quark-gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement
- Nucleon mass from a covariant three-quark Faddeev equation
- The Quark-Photon Vertex and the Pion Charge Radius
- Analytic structure of the Landau gauge gluon propagator
- Aspects and consequences of a dressed-quark-gluon vertex
- Three-point vertices in Landau-gauge Yang-Mills theory
- n-Particle irreducible effective action techniques for gauge theories
- The three-gluon vertex in Landau gauge
- Gluonic three-point correlations in pure Landau gauge QCD
- Mesons in a Poincare Covariant Bethe-Salpeter Approach
- The strong coupling and its running to four loops in a minimal MOM scheme
- Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory II
- Probing the gluon self-interaction in light mesons
- Nucleon electromagnetic form factors from the covariant Faddeev equation
- Bethe-Salpeter equation and a nonperturbative quark-gluon vertex
- Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory
- Nonperturbative structure of the quark-gluon vertex
- Tracing masses of ground-state light-quark mesons
- Masses of ground and excited-state hadrons
- Electromagnetic Transition Form Factors of Light Mesons
- Effects of divergent ghost loops on the Green's functions of QCD
- QCD modeling of hadron physics
- Quark-gluon vertex in arbitrary gauge and dimension
- ONE LOOP QED VERTEX IN ANY COVARIANT GAUGE: ITS COMPLETE ANALYTIC FORM
- Probing Unquenching Effects in the Gluon Polarisation in Light Mesons
- Survey of J=0,1 mesons in a Bethe-Salpeter approach
- Hadronic unquenching effects in the quark propagator
- Beyond the rainbow: effects from pion back-coupling
- Practical corollaries of transverse Ward-Green-Takahashi identities
- Infrared singularities in Landau gauge Yang-Mills theory
- Verifying the Kugo-Ojima Confinement Criterion in Landau Gauge Yang-Mills Theory
- On the Quark-Gluon Vertex and Quark-Ghost Kernel: combining Lattice Simulations with Dyson-Schwinger equations
- On the influence of three-point functions on the propagators of Landau gauge Yang-Mills theory
- Quark-gluon vertex from lattice QCD
- A new method for determining the quark-gluon vertex
- Bottomonium in a Bethe-Salpeter-equation study
- Time-independant stochastic quantization, DS equations, and infrared critical exponents in QCD
- Nucleon axial and pseudoscalar form factors from the covariant Faddeev equation
- Strong Decays of Light Vector Mesons
- On Gribov's supercriticality picture of quark confinement
- Quark-gluon vertex in general kinematics
- Nontrivial ghost-gluon vertex and the match of RGZ, DSE and lattice Yang-Mills propagators
- Quark-gluon vertex dressing and meson masses beyond ladder-rainbow truncation
- Delta and Omega masses in a three-quark covariant Faddeev approach
- Bethe-Salpeter Meson Masses Beyond Ladder Approximation
- Elastic and transition form factors of the Δ(1232)
- Two- and three-point functions in two-dimensional Landau-gauge Yang-Mills theory: Continuum results
- Mass spectra and Regge trajectories of light mesons in the Bethe-Salpeter approach
- Delta and Omega electromagnetic form factors in a Dyson-Schwinger/Bethe-Salpeter approach
- U_A(1) anomaly and eta' mass from an infrared singular quark-gluon vertex
- Hadron Physics and the Dyson--Schwinger Equations of QCD
- Beyond Rainbow-Ladder in bound state equations
- A covariant study of tensor mesons
- Delta and Omega electromagnetic form factors in a three-body covariant Bethe-Salpeter approach
- Nucleon Compton scattering in the Dyson-Schwinger approach
- Rho-meson, Bethe-Salpeter equation, and the far infrared
- Hadronic Observables from Dyson-Schwinger and Bethe-Salpeter equations
- Dynamically induced scalar quark confinement
- Checking the transverse Ward-Takahashi relation at one loop order in 4-dimensions
- The Spin of the Proton
- Coulomb gauge confinement in the heavy quark limit
- Unquenching the Quark-Antiquark Green's Function
- Bethe-Salpeter studies of mesons beyond rainbow-ladder
- QCD effective charge from the three-gluon vertex of the background-field method
- Excited mesons in a Bethe-Salpeter approach
- Higher order heavy quark Green's functions in Coulomb gauge
- Hadronic bound-states in SU(2) from Dyson--Schwinger Equations
- From Euclidean to Minkowski space with the Cauchy-Riemann equations
- Model comparison of Delta and Omega masses in a covariant Faddeev approach
- Towards a self-consistent solution of the Landau gauge quark-gluon vertex Dyson-Schwinger equation
- How to determine the branch points of correlation functions in Euclidean space
- The role of pions as virtual constituents of light bound states
Cited by in corpus (59)
- Baryons as relativistic three-quark bound states
- Landau gauge Yang-Mills correlation functions
- Non-perturbative quark, gluon and meson correlators of unquenched QCD
- Light mesons in QCD and unquenching effects from the 3PI effective action
- From Quarks and Gluons to Hadrons: Chiral Symmetry Breaking in Dynamical QCD
- Diquark Correlations in Hadron Physics: Origin, Impact and Evidence
- QCD phase structure from functional methods
- Chiral phase structure and critical end point in QCD
- Fully coupled functional equations for the quark sector of QCD
- Spectra of heavy mesons in the Bethe-Salpeter approach
- FormTracer - A Mathematica Tracing Package Using FORM
- Quark gap equation with non-abelian Ball-Chiu vertex
- QCD Running Couplings and Effective Charges
- Quark propagator with two flavors of O(a)-improved Wilson fermions
- Four-point functions and the permutation group S4
- Quark-gluon Vertex: A Perturbation Theory Primer and Beyond
- Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations
- Non-Abelian Ball-Chiu vertex for arbitrary Euclidean momenta
- Ghost dynamics in the soft gluon limit
- Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD
- Quark-gluon vertex from the Landau gauge Curci-Ferrari model
- Transverse Takahashi Identities and Their Implications for Gauge Independent Dynamical Chiral Symmetry Breaking
- Effects of a dressed quark-gluon vertex in vector heavy-light mesons and theory average of B(c)* meson mass
- Probing the quark-gluon interaction with hadrons
- Masses of J^PC =1^-+ exotic quarkonia in a Bethe-Salpeter-equation approach
- Pseudoscalar glueball mass: a window on three-gluon interactions
- On non-primitively divergent vertices of Yang-Mills theory
- Quark-gluon vertex from Nf=2 lattice QCD
- Exploring the Quark-Gluon Vertex with Slavnov-Taylor Identities and Lattice Simulations
- Effects of a dressed quark-gluon vertex in pseudoscalar heavy-light mesons
- The soft-gluon limit and the infrared enhancement of the quark-gluon vertex
- Electromagnetic transition form factors of baryons in the space-like momentum region
- Practical scheme from QCD to phenomena via Dyson-Schwinger equations
- A Pattern for the Flavor Dependence of the Quark-Gluon Interaction
- Bethe-Salpeter kernel and properties of strange-quark mesons
- Effect of the Quark-Gluon Vertex on Dynamical Chiral Symmetry Breaking
- Phase structure of 2+1-flavour QCD and the magnetic equation of state
- Phase structure and propagators at nonvanishing temperature for QCD and QCD-like theories
- On the quark spectral function in QCD
- Heavy-light mesons beyond ladder approximation
- The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking
- Thermodynamics from the quark condensate
- Light-quarkonium spectra and orbital-angular-momentum decomposition in a Bethe-Salpeter-equation approach
- Insights into the quark-gluon vertex from lattice QCD and meson spectroscopy
- The Quark Propagator in a Truncation Scheme beyond the Rainbow Approximation
- Hadronic bound-states in SU(2) from Dyson--Schwinger Equations
- Three-point vertex functions in Yang-Mills Theory and QCD in Landau gauge
- Poincare covariant pseudoscalar and scalar meson spectroscopy in Wigner-Weyl phase
- The Podolsky propagator in gap and bound-state equations
- A comprehensive approach to the physics of mesons
- Center phase transition from matter propagators in (scalar) QCD
- On the low-energy spectrum of an SU(2) gauge theory with dynamical fermions
- Mass-dependence of pseudocritical temperature in mean field approximation
- Double non-perturbative gluon exchange: an update on the soft Pomeron contribution to pp scattering
- Transverse Ward-Takahashi Identities and Full Vertices Functions in Different Representation in QED
- Electromagnetic transition form factors of baryons in a relativistic Faddeev approach
- Influence of light quark loops on the Wigner phase with Dyson-Schwinger equations approach
- Linking continuum and lattice quark mass functions via an effective charge
- Quark scalar, axial and tensor charges in the Schwinger-Dyson formalism