Hadron Properties and Dyson-Schwinger Equations

Abstract

An overview of the theory and phenomenology of hadrons and QCD is provided from a Dyson-Schwinger equation viewpoint. Following a discussion of the definition and realisation of light-quark confinement, the nonperturbative nature of the running mass in QCD and inferences from the gap equation relating to the radius of convergence for expansions of observables in the current-quark mass are described. Some exact results for pseudoscalar mesons are also highlighted, with details relating to the U_A(1) problem, and calculated masses of the lightest J=0,1 states are discussed. Studies of nucleon properties are recapitulated upon and illustrated: through a comparison of the ln-weighted ratios of Pauli and Dirac form factors for the neutron and proton; and a perspective on the contribution of quark orbital angular momentum to the spin of a nucleon at rest. Comments on prospects for the future of the study of quarks in hadrons and nuclei round out the contribution.

18 pages, 2 figures. Contribution to the Proceedings of the International School of Nuclear Physics, Erice-Sicily -- 29th Course: Quarks in Hadrons and Nuclei, 16-24 September, 2007

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• Bethe-Salpeter Study of Vector Meson Masses and Decay Constants
• Pion mass and decay constant
• Goldstone Theorem and Diquark Confinement Beyond Rainbow-Ladder Approximation
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• The $\pi$, $K^{+}$, and $K^0$ electromagnetic form factors
• Unquenched quark propagator in Landau gauge
• Analysis of a quenched lattice-QCD dressed-quark propagator
• Perturbative QCD Analysis of the Nucleon's Pauli Form Factor F_2(Q^2)
• Aspects and consequences of a dressed-quark-gluon vertex
• Pseudoscalar Meson Radial Excitations
• Aspects of Hadron Physics
• Electromagnetic Pion Form Factor and Neutral Pion Decay Width
• Vector meson form factors and their quark-mass dependence
• Ground-state Spectrum of Light-quark Mesons
• Survey of heavy-meson observables
• Limits on the temporal variation of the fine structure constant, quark masses and strong interaction from quasar absorption spectra and atomic clock experiments
• The pion parton distribution function in the valence region
• Valence-quark distributions in the pion
• Bethe-Salpeter equation and a nonperturbative quark-gluon vertex
• Octet and Decuplet Baryons in a Covariant and Confining Diquark-Quark Model
• Nonperturbative structure of the quark-gluon vertex
• Effective masses of diquarks
• Electromagnetic properties of ground and excited state pseudoscalar mesons
• Pseudovector components of the pion, pi^0 -> gamma gamma, and F_pi(q^2)
• Continuum study of deconfinement at finite temperature
• Dependence of nuclear binding on hadronic mass variation
• Nucleon mass and pion loops
• Gauge independent Chiral Symmetry Breaking in Quenched QED
• Nucleon Properties in the Covariant Quark-Diquark Model
• Quark-gluon vertex model and lattice-QCD data
• Analysis of full-QCD and quenched-QCD lattice propagators
• Vector and axial-vector correlators in a nonlocal chiral quark model
• Dynamical chiral symmetry breaking and confinement with an infrared-vanishing gluon propagator?
• Flavour symmetry breaking and meson masses
• Sigma Terms of Light-Quark Hadrons
• Dynamical chiral symmetry breaking and a critical mass
• On Nucleon Electromagnetic Form Factors
• Gauge covariant fermion propagator in quenched, chirally-symmetric quantum electrodynamics
• Gauge covariance and the fermion-photon vertex in three- and four- dimensional, massless quantum electrodynamics
• Deconfinement at finite chemical potential
• B- to light-meson transition form factors
• Quark-gluon vertex dressing and meson masses beyond ladder-rainbow truncation
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• Semileptonic decays of heavy mesons
• Mind the gap
• Infrared Behaviour of Propagators and Vertices
• Chiral symmetry breaking at large N_c
• Concerning the quark condensate
• The decay constant of the first excited pion from lattice QCD
• Truncated Schwinger-Dyson Equations and Gauge Covariance in QED3
• Schwinger functions and light-quark bound states, and sigma terms
• Electromagnetic properties of diquarks
• Selected nucleon form factors and a composite scalar diquark
• Describing a1 and b1 decays
• Schwinger functions and light-quark bound states
• Current Conservation in the Covariant Quark-Diquark Model of the Nucleon
• J^PC Exotic Mesons from the Bethe-Salpeter Equation
• On Nucleon Electromagnetic Form Factors: A Pre'cis
• eta and eta' mesons and dimension 2 gluon condensate <A^2>
• Study of nucleon resonances with electromagnetic interactions
• Covariance, Dynamics and Symmetries, and Hadron Form Factors
• Dynamics, Symmetries and Hadron Properties
• Theory and Phenomenology of Hadrons
• A Perspective on Hadron Physics
• Meson spectroscopy and properties using Dyson-Schwinger equations

Cited by in corpus (138)

• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• Collective perspective on advances in Dyson-Schwinger Equation QCD
• Explanation and Prediction of Observables using Continuum Strong QCD
• Sketching the Bethe-Salpeter kernel
• Interaction model for the gap equation
• Bridging a gap between continuum-QCD and ab initio predictions of hadron observables
• Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
• 50 Years of Quantum Chromodynamics
• Coupled-channel dynamics in the reactions piN --> piN, etaN, KLambda, KSigma
• Phase diagram and critical endpoint for strongly-interacting quarks
• Distribution Functions of the Nucleon and Pion in the Valence Region
• Dressed-quark anomalous magnetic moments
• Final Analysis of Proton Form Factor Ratio Data at ${\mathbf{Q}}^2=4.0$, 4.8 and 5.6 GeV${}^2$
• Abelian anomaly and neutral pion production
• pi- and rho-mesons, and their diquark partners, from a contact interaction
• Diquark Correlations in Hadron Physics: Origin, Impact and Evidence
• Survey of nucleon electromagnetic form factors
• On unifying the description of meson and baryon properties
• Commentary on rainbow-ladder truncation for excited states and exotics
• Dynamics and thermodynamics of a nonlocal Polyakov--Nambu--Jona-Lasinio model with running coupling
• Disentangling the dynamical origin of P11 Nucleon Resonances
• The lightest hybrid meson supermultiplet in QCD
• Pion form factor from a contact interaction
• Completing the picture of the Roper resonance
• Tracing masses of ground-state light-quark mesons
• Masses of ground and excited-state hadrons
• Locating the Gribov horizon
• Masses of ground-state mesons and baryons, including those with heavy quarks
• Empirical Consequences of Emergent Mass
• Regarding confinement and dynamical chiral symmetry breaking in QED3
• Thermodynamics of a three-flavor nonlocal Polyakov--Nambu--Jona-Lasinio model
• Gauge invariance of a critical number of flavours in QED3
• Gauge Sector Dynamics in QCD
• Masses of Light and Heavy Mesons and Baryons: A Unified Picture
• The chiral phase transition with a chiral chemical potential in the framework of Dyson-Schwinger equations
• Parton distribution amplitudes of light vector mesons
• Phase diagram and thermal properties of strong-interaction matter
• Nucleon spin structure at very high-x
• Chiral susceptibility and the scalar Ward identity
• Two-body scattering states in Minkowski space and the Nakanishi integral representation onto the null plane
• Pion distribution amplitude from lattice-QCD
• Hadronic light-by-light scattering in the muon g-2: a Dyson-Schwinger equation approach
• Quark Spectral Function and Deconfinement at Nonzero Temperature
• Reflections upon the Emergence of Hadronic Mass
• Quark spectral density and a strongly-coupled QGP
• Baryon and meson screening masses
• Role of center vortices in chiral symmetry breaking in SU(3) gauge theory
• Revealing dressed-quarks via the proton's charge distribution
• Chemical potential and the gap equation
• Transition between nuclear and quark-gluon descriptions of hadrons and light nuclei
• Charmonia in a Contact Interaction
• Strong D* -> D+pi and B* -> B+pi couplings
• Flavour symmetry breaking in the kaon parton distribution amplitude
• Scale-setting, flavour dependence and chiral symmetry restoration
• Contact interaction analysis of pion GTMDs
• Critical endpoint in the presence of a chiral chemical potential
• Ghost dynamics in the soft gluon limit
• Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD
• ${\eta }_c$ Elastic and Transition Form Factors: Contact Interaction and Algebraic Model
• Emergence of mass in the gauge sector of QCD
• Extensions and further applications of the nonlocal Polyakov--Nambu--Jona-Lasinio model
• Heavy quarkonia in a contact interaction and an algebraic model: mass spectrum, decay constants, charge radii and elastic and transition form factors
• Pseudoscalar glueball mass: a window on three-gluon interactions
• Analytical properties of the quark propagator from truncated Dyson-Schwinger equation in complex Euclidean space
• Light front distribution of the chiral condensate
• Exploring smoking-gun signals of the Schwinger mechanism in QCD
• Exploring the light-quark interaction
• Flavor SU(4) breaking between effective couplings
• Jülich-Bonn-Washington Model for Pion Electroproduction Multipoles
• Existence and stability of multiple solutions to the gap equation
• The ghost-antighost-gluon vertex from the Curci-Ferrari model: Two-loop corrections
• Effects of anomalous magnetic moment of quarks on the dilepton production from hot and dense magnetized quark matter using the NJL model
• Accounting for the analytical properties of the quark propagator from Dyson-Schwinger equation
• Studies of two-solar-mass hybrid stars within the framework of Dyson-Schwinger equations
• Chiral Symmetry Breaking on the Lattice
• On the computation of the spectral density of two-point functions: complex masses, cut rules and beyond
• Cold quarks in medium: an equation of state
• Zero mode in a strongly coupled quark gluon plasma
• Practical scheme from QCD to phenomena via Dyson-Schwinger equations
• Jet color chemistry and anomalous baryon production in $AA$-collisions
• Spontaneous chiral symmetry breaking in the massive Landau gauge: realistic running coupling
• Strange quark matter and quark stars with the Dyson-Schwinger quark model
• N* Structure and Strong QCD
• Multiple solutions for the fermion mass function in QED3
• Coupled-channel analysis of pion- and eta-electroproduction with the Jülich-Bonn-Washington model
• Couplings between the $\rho$ and $D$- and $D^{\ast }$-mesons
• Heavy-light mesons beyond ladder approximation
• Planar degeneracy of the three-gluon vertex
• Analytic Bethe-Salpeter Description of the Lightest Pseudoscalar Mesons
• Current quark mass dependence of nucleon magnetic moments and radii
• Three-body model for $K(1460)$ resonance
• Towards a Born term for hadrons
• Novel sum rules for the three-point sector of QCD
• Confinement in Maxwell-Chern-Simons Planar Quantum Electrodynamics and the 1/N approximation
• Fermionic dark matter-photon quantum interaction: A mechanism for darkness
• A new algorithm towards quasi-Wigner solution of the gap equation beyond the chiral limit
• Chiral crossover transition from the Dyson-Schwinger equations in a sphere
• Charmonium Spectral Functions and Transport Properties of Quark-Gluon Plasma
• Explicit form of the R-ratio of electron-positron annihilation into hadrons
• Excited $B_c$ States via Continuum QCD
• 2+1 flavors QCD equation of state at zero temperature within Dyson-Schwinger equations
• Gluon mass scale through the Schwinger mechanism
• Unpolarized generalized parton distributions of light and heavy vector mesons
• Nucleon form factors and parton distributions in nonlocal chiral effective theory
• Color, Flavor, Temperature and Magnetic Field Dependence of QCD Phase Diagram: Magnetic Catalysis and its Inverse
• Bound states at lowest order in hbar
• Temperature Dependence of the Effective Bag Constant and the Radius of a Nucleon in the Global Color Symmetry Model of QCD
• Chiral symmetry restoration and properties of Goldstone bosons at finite temperature
• Bound states of massive complex ghosts in superrenormalizable quantum gravity theories\
• Nucleon Resonance Structure Studies Via Exclusive KY Electroproduction
• Poincare covariant pseudoscalar and scalar meson spectroscopy in Wigner-Weyl phase
• Dressed Quark Tensor Vertex and Nucleon Tensor Charge
• Looking into the matter of light-quark hadrons
• Heavy-light mesons spectra in a contact interaction
• A comprehensive approach to the physics of mesons
• The Pauli Form Factor of Quark and Nontrivial Topological Structure of the QCD
• Configuration Mixing of Quark States in Baryons
• Pseudo-scalar {\boldm $q\bar{q}$} bound states at finite temperatures within a Dyson-Schwinger--Bethe-Salpeter approach
• Janus-Facedness of the Pion: Analytic Instantaneous Bethe-Salpeter Models
• Schwinger - Dyson equation and NJL approximation in massive gauge theory with fermions
• Pion parton distribution functions with the nonrelativistic constituent quark model
• Constraining the Hadron-Quark Phase Transition Chemical Potential via Astronomical Observation
• Mass-dependence of pseudocritical temperature in mean field approximation
• Contributions to the nucleon form factors from bubble and tadpole diagrams
• Running Masses in the Nucleon and its Resonances
• Patterns of gauge symmetry in the background field method
• Illustrating the liquid gas transition of nuclear matter in QCD
• Impact of dynamical chiral symmetry breaking on meson structure and interactions
• Ideas in transverse spin physics
• Single-spin asymmetries in SIDIS induced by anomalous gluon-quark and photon-quark couplings
• Dyson-Schwinger Equations with a Parameterized Metric
• Influence of light quark loops on the Wigner phase with Dyson-Schwinger equations approach
• Goldstone-Type Pseudoscalar Mesons: Instantaneous Bethe-Salpeter Models
• An innovative approach for sketching the QCD phase diagram within the NJL model using Lagrange Multipliers
• Opposite parity fermion mixing and baryons $1/2^{\pm }$
• Mesons and Baryons: Parity Partners
• Flavour decomposition of electromagnetic transition form factors of nucleon resonances
• Excited Baryon Structure Using Exclusive Reactions with CLAS12