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.
14 pages, 12 figures. Version to appear in EPJA
References in corpus (30)
- Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
- Infrared Properties of QCD from Dyson-Schwinger equations
- Chiral symmetry breaking in continuum QCD
- Sketching the Bethe-Salpeter kernel
- Dressed-quark anomalous magnetic moments
- The quark-gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement
- Three-point vertices in Landau-gauge Yang-Mills theory
- Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory II
- Nucleon electromagnetic form factors from the covariant Faddeev equation
- Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory
- Masses of ground and excited-state hadrons
- Beyond the rainbow: effects from pion back-coupling
- Hadronic unquenching effects in the quark propagator
- A new method for determining the quark-gluon vertex
- Quark-gluon vertex in general kinematics
- Quark-gluon vertex dressing and meson masses beyond ladder-rainbow truncation
- 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
- A covariant study of tensor mesons
- Nucleon Compton scattering in the Dyson-Schwinger approach
- Rho-meson, Bethe-Salpeter equation, and the far infrared
- 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
- 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
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- Baryons as relativistic three-quark bound states
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- Spectra of heavy mesons in the Bethe-Salpeter approach
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- Ghost dynamics in the soft gluon limit
- Masses of J^PC =1^-+ exotic quarkonia in a Bethe-Salpeter-equation approach
- On non-primitively divergent vertices of Yang-Mills theory
- Quark-gluon vertex from Nf=2 lattice QCD
- The soft-gluon limit and the infrared enhancement of the quark-gluon vertex
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- 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
- The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking
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- Hadronic bound-states in SU(2) from Dyson--Schwinger Equations
- Center phase transition from matter propagators in (scalar) QCD
- A comprehensive approach to the physics of mesons
- Double non-perturbative gluon exchange: an update on the soft Pomeron contribution to pp scattering
- 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