QCD modeling of hadron physics

Abstract

We review recent developments in the understanding of meson properties as solutions of the Bethe-Salpeter equation in rainbow-ladder truncation. Included are recent results for the pseudoscalar and vector meson masses and leptonic decay constants, ranging from pions up to c\bar{c} bound states; extrapolation to b\bar{b} states is explored. We also present a new and improved calculation of F_π(Q^2) and an analysis of the πγγtransition form factor for both π(140) and π(1330). Lattice-QCD results for propagators and the quark-gluon vertex are analyzed, and the effects of quark-gluon vertex dressing and the three-gluon coupling upon meson masses are considered.

17 pages, 19 postscript figures, contribution to the proceedings of LC05, Cairns, Australia, July 2005

References in corpus (12)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Vertex functions and infrared fixed point in Landau gauge SU(N) Yang-Mills theory
• Pseudoscalar Meson Radial Excitations
• Improved Measurement of cal{B}(D^+ --> mu^+ nu) and the Pseudoscalar Decay Constant f_{D^+}
• Electromagnetic properties of ground and excited state pseudoscalar mesons
• Quark-gluon vertex model and lattice-QCD data
• Lattice Computations of the Pion Form Factor
• On Nucleon Electromagnetic Form Factors
• Bethe-Salpeter Meson Masses Beyond Ladder Approximation
• Pseudoscalar and vector mesons as q\bar{q} bound states
• Quark-gluon vertex in arbitrary kinematics
• On Nucleon Electromagnetic Form Factors: A Pre'cis

Cited by in corpus (76)

• Baryons as relativistic three-quark bound states
• Collective perspective on advances in Dyson-Schwinger Equation QCD
• 50 Years of Quantum Chromodynamics
• The quark-gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement
• pi- and rho-mesons, and their diquark partners, from a contact interaction
• Vector meson form factors and their quark-mass dependence
• On unifying the description of meson and baryon properties
• Probing the gluon self-interaction in light mesons
• Kaon-box contribution to the anomalous magnetic moment of the muon
• Nucleon electromagnetic form factors from the covariant Faddeev equation
• Tetraquark bound states in a Bethe-Salpeter approach
• Perspective on rainbow-ladder truncation
• Survey of J=0,1 mesons in a Bethe-Salpeter approach
• Beyond the rainbow: effects from pion back-coupling
• Hadronic unquenching effects in the quark propagator
• The quark-gluon vertex in Landau gauge bound-state studies
• Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach
• Thermodynamics of a three-flavor nonlocal Polyakov--Nambu--Jona-Lasinio model
• Bottomonium in a Bethe-Salpeter-equation study
• Nucleon axial and pseudoscalar form factors from the covariant Faddeev equation
• Solving Bethe-Salpeter equation for two fermions in Minkowski space
• The light scalar mesons as tetraquarks
• Exciting flavored bound states
• B- to light-meson transition form factors
• Delta and Omega masses in a three-quark covariant Faddeev approach
• Single pseudoscalar meson pole and pion box contributions to the anomalous magnetic moment of the muon
• Recent developments in bound-state calculations using the Dyson-Schwinger and Bethe-Salpeter equations
• Charmed mesons with a symmetry-preserving contact interaction
• Charmonia in a Contact Interaction
• A covariant view on the nucleons' quark core
• Heavy-Light Mesons on the Light Front
• Nucleon to Delta electromagnetic transition in the Dyson-Schwinger approach
• Beyond Rainbow-Ladder in bound state equations
• The generalised infrared structure of the gluon propagator
• Schwinger functions and light-quark bound states, and sigma terms
• ${\eta }_c$ Elastic and Transition Form Factors: Contact Interaction and Algebraic Model
• Heavy quarkonia in a contact interaction and an algebraic model: mass spectrum, decay constants, charge radii and elastic and transition form factors
• Masses of J^PC =1^-+ exotic quarkonia in a Bethe-Salpeter-equation approach
• Effects of a dressed quark-gluon vertex in vector heavy-light mesons and theory average of B(c)* meson mass
• Electromagnetic form factor via Bethe-Salpeter amplitude in Minkowski space
• Matrix algorithms for solving (in)homogeneous bound state equations
• Solutions of the Bethe-Salpeter equation in Minkowski space and applications to electromagnetic form factors
• Delta-baryon mass in a covariant Faddeev approach
• Elucidating the effect of intermediate resonances in the quark interaction kernel on the time-like electromagnetic pion form factor
• Four-quark states from functional methods
• Rho-meson, Bethe-Salpeter equation, and the far infrared
• Solving Bethe-Salpeter scattering state equation in Minkowski space
• Quark tensor charge and electric dipole moment within the Schwinger-Dyson formalism
• Aspects of open-flavour mesons in a comprehensive DSBSE study
• Solving the Bethe-Salpeter equation with exponential convergence
• Manifestation of three-body forces in three-body Bethe-Salpeter and light-front equations
• Interplay of dynamical and explicit chiral symmetry breaking effects on a quark
• Nonlinear realization of chiral symmetry breaking in holographic soft wall models
• Relation Between Chiral Susceptibility and Solutions of Gap Equation in Nambu--Jona-Lasinio Model
• Unified description of hadron-photon and hadron-meson scattering in the Dyson-Schwinger approach
• Bound state equation for the Nakanishi weight function
• Covariant spectator theory of quark-antiquark bound states: Mass spectra and vertex functions of heavy and heavy-light mesons
• First look at heavy-light mesons with a dressed quark-gluon vertex
• Quark scalar, axial, and pseudoscalar charges in the Schwinger-Dyson formalism
• On a new approach to meson phenomenology with the Bethe-Salpeter equation
• Bethe-Salpeter scattering amplitude in Minkowski space
• Current quark mass dependence of nucleon magnetic moments and radii
• Theory introduction to baryon spectroscopy
• Light-quarkonium spectra and orbital-angular-momentum decomposition in a Bethe-Salpeter-equation approach
• Dark matter relic density in strongly interacting dark sectors with light vector mesons
• Delta properties in the rainbow-ladder truncation of Dyson-Schwinger equations
• Poincare covariant pseudoscalar and scalar meson spectroscopy in Wigner-Weyl phase
• Chiral sum rule on the light front and the 3D image of the pion
• Charmed mesons at finite temperature and chemical potential
• Extending the truncated Dyson-Schwinger equation to finite temperatures
• Pseudo-scalar {\boldm $q\bar{q}$} bound states at finite temperatures within a Dyson-Schwinger--Bethe-Salpeter approach
• The Charm and Beauty of Strong Interactions
• Sub-GeV dark matter and multi-decay signatures from dark showers at beam-dump experiments
• The Bethe-Salpeter approach to bound states: from Euclidean to Minkowski space
• Bethe-Salpeter equations: mesons beyond the rainbow-ladder truncation
• Getting a handle on correlation functions