Practical scheme from QCD to phenomena via Dyson-Schwinger equations

Abstract

We deliver a new scheme to compute the quark propagator and the quark-gluon interaction vertex through the coupled Dyson-Schwinger equations (DSEs) of QCD. We take the three-gluon vertex into account in our calculations, and implement the gluon propagator and the running coupling function fitted by the solutions of their respective DSEs. We obtain the momentum and current mass dependence of the quark propagator and the quark-gluon vertex, and the chiral quark condensate which agrees with previous results excellently. We also compute the quark-photon vertex within this scheme and give the anomalous chromo- and electro-magnetic moment of quark. The obtained results also agree with previous ones very well. These applications manifest that the new scheme is realistic and then practical for explaining the QCD-related phenomena.

arXiv comment16 pages, 19 figures, updated version to appear in Phys. Rev. D

References in corpus (122)

• 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: Density, Temperature and Continuum Strong QCD
• 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
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Bethe-Salpeter Study of Vector Meson Masses and Decay Constants
• Baryons as relativistic three-quark bound states
• 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
• Pinch Technique: Theory and Applications
• Goldstone Theorem and Diquark Confinement Beyond Rainbow-Ladder Approximation
• Collective perspective on advances in Dyson-Schwinger Equation QCD
• Quark Confinement from Color Confinement
• Explanation and Prediction of Observables using Continuum Strong QCD
• Non-perturbative Propagators, Running Coupling and Dynamical Quark Mass of Landau gauge QCD
• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Analytic properties of the Landau gauge gluon and quark propagators
• Chiral symmetry breaking in continuum QCD
• Imaging dynamical chiral symmetry breaking: pion wave function on the light front
• Sketching the Bethe-Salpeter kernel
• Non-perturbative quark, gluon and meson correlators of unquenched QCD
• Dynamical Chiral Symmetry Breaking, Goldstone's Theorem and the Consistency of the Schwinger--Dyson and Bethe--Salpeter Equations
• Bridging a gap between continuum-QCD and ab initio predictions of hadron observables
• On the IR behaviour of the Landau-gauge ghost propagator
• The $\pi$, $K^{+}$, and $K^0$ electromagnetic form factors
• Phase structure of three and four flavor QCD
• Phase diagram and critical endpoint for strongly-interacting quarks
• Hadron Properties and Dyson-Schwinger Equations
• Distribution Functions of the Nucleon and Pion in the Valence Region
• Pion electromagnetic form factor at spacelike momenta
• Non-perturbative comparison of QCD effective charges
• Light mesons in QCD and unquenching effects from the 3PI effective action
• Infrared Exponents and Running Coupling of SU(N) Yang-Mills Theories
• Dressed-quark anomalous magnetic moments
• From Quarks and Gluons to Hadrons: Chiral Symmetry Breaking in Dynamical QCD
• Vertex functions and infrared fixed point in Landau gauge SU(N) Yang-Mills theory
• Quark flavour effects on gluon and ghost propagators
• 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
• Modeling the Gluon Propagator in Landau Gauge: Lattice Estimates of Pole Masses and Dimension-Two Condensates
• Analytic structure of the Landau gauge gluon propagator
• Aspects and consequences of a dressed-quark-gluon vertex
• The lattice Landau gauge gluon propagator: lattice spacing and volume dependence
• The pion: an enigma within the Standard Model
• n-Particle irreducible effective action techniques for gauge theories
• q\bar q$ bound states in the Bethe-Salpeter formalism
• Landau-gauge propagators in Yang-Mills theories at beta = 0: massive solution versus conformal scaling
• Propagators and phase structure of Nf=2 and Nf=2+1 QCD
• The three-gluon vertex in Landau gauge
• Gluonic three-point correlations in pure Landau gauge QCD
• Gluon mass generation in the PT-BFM scheme
• Confinement from Correlation Functions
• Running coupling in Yang-Mills theory - a flow equation study -
• Commentary on rainbow-ladder truncation for excited states and exotics
• Probing the gluon self-interaction in light mesons
• IR finiteness of the ghost dressing function from numerical resolution of the ghost SD equation
• Nucleon electromagnetic form factors from the covariant Faddeev equation
• Bethe-Salpeter equation and a nonperturbative quark-gluon vertex
• Chiral and deconfinement phase transitions of two-flavour QCD at finite temperature and chemical potential
• Tracing masses of ground-state light-quark mesons
• Running Gluon Mass from Landau Gauge Lattice QCD Propagator
• Tetraquark bound states in a Bethe-Salpeter approach
• Chiral symmetry breaking with lattice propagators
• Symmetry preserving truncations of the gap and Bethe-Salpeter equations
• On the zero crossing of the three-gluon vertex
• Basic features of the pion valence-quark distribution function
• Effects of divergent ghost loops on the Green's functions of QCD
• Perspective on rainbow-ladder truncation
• Polyakov loop potential at finite density
• Natural constraints on the gluon-quark vertex
• Survey of J=0,1 mesons in a Bethe-Salpeter approach
• The quark-gluon vertex in Landau gauge bound-state studies
• Practical corollaries of transverse Ward-Green-Takahashi identities
• On the massive gluon propagator, the PT-BFM scheme and the low-momentum behaviour of decoupling and scaling DSE solutions
• Quark-gluon vertex model and lattice-QCD data
• Unquenching the gluon propagator with Schwinger-Dyson equations
• Gauge-invariant truncation scheme for the Schwinger-Dyson equations of QCD
• QCD phase transitions via a refined truncation of Dyson-Schwinger equations
• Baryon effects on the location of QCD's critical end point
• A new method for determining the quark-gluon vertex
• Is the QCD ghost dressing function finite at zero momentum ?
• Yang-Mills two-point functions in linear covariant gauges
• Leading-twist parton distribution amplitudes of S-wave heavy-quarkonia
• Ghost propagator and ghost-gluon vertex from Schwinger-Dyson equations
• Phase diagram and thermal properties of strong-interaction matter
• Dynamical chiral symmetry breaking and a critical mass
• The light scalar mesons as tetraquarks
• Parton distribution amplitudes of light vector mesons
• New Schwinger-Dyson equations for non-Abelian gauge theories
• Quark Number Fluctuations at Finite Temperature and Finite Chemical Potential via the Dyson-Schwinger Equation Approach
• Quark gap equation with non-abelian Ball-Chiu vertex
• Quark-gluon Vertex: A Perturbation Theory Primer and Beyond
• Indirect determination of the Kugo-Ojima function from lattice data
• Recent developments in bound-state calculations using the Dyson-Schwinger and Bethe-Salpeter equations
• Quark spectral density and a strongly-coupled QGP
• Baryon and meson screening masses
• $\bar{q}q$ condensate for light quarks beyond the chiral limit
• Process-independent effective coupling. From QCD Green's functions to phenomenology
• Interface Effect in QCD Phase Transitions via Dyson-Schwinger Equation Approach
• Nonperturbative study of the four gluon vertex
• Non-Abelian Ball-Chiu vertex for arbitrary Euclidean momenta
• The low-momentum ghost dressing function and the gluon mass
• Schwinger mechanism in linear covariant gauges
• Unified description of seagull cancellations and infrared finiteness of gluon propagators
• Are the Dressed Gluon and Ghost Propagators in the Landau Gauge presently determined in the confinement regime of QCD?
• Proton tensor charges from a Poincaré-covariant Faddeev equation
• Probing the quark-gluon interaction with hadrons
• Existence and stability of multiple solutions to the gap equation
• Effects of a dressed quark-gluon vertex in pseudoscalar heavy-light mesons
• Nucleon resonances in Compton scattering
• A Novel Algorithm for Extracting the Parton Distribution Amplitude from the Euclidean Bethe-Salpeter Wave Function
• N* Structure and Strong QCD
• Revisiting the Equation of State of Hybrid Stars in the Dyson-Schwinger Equation Approach to QCD
• Temperature Effect on Shear and Bulk Viscosities of QCD Matter
• Vacuum Polarization and Dynamical Chiral Symmetry Breaking: Phase Diagram of QED with Four-Fermion Contact Interaction
• A new algorithm towards quasi-Wigner solution of the gap equation beyond the chiral limit
• Gribov's horizon and the ghost dressing function
• The Quark Propagator in a Truncation Scheme beyond the Rainbow Approximation
• A Universal Constraint on the Infrared Behavior of the Ghost Propagator in QCD
• Derivation of the gap and Bethe-Salpeter equations at large $N_c$ limit and symmetry preserving truncations

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