Selected highlights from the study of mesons

Abstract

We provide a brief review of recent progress in the study of mesons using QCD's Dyson-Schwinger equations. Along the way we touch on aspects of confinement and dynamical chiral symmetry breaking but in the main focus upon: exact results for pseudoscalar mesons, including aspects of the eta-eta' problem; a realisation that the so-called vacuum condensates are actually an intrinsic, localised property of hadrons; an essentially nonperturbative procedure for constructing a symmetry-preserving Bethe-Salpeter kernel, which has enabled a demonstration that dressed-quarks possess momentum-dependent anomalous chromo- and electromagnetic moments that are large at infrared momenta, and resolution of a longstanding problem in understanding the mass-splitting between rho- and a1-mesons such that they are now readily seen to be parity partners in the meson spectrum; features of electromagnetic form factors connected with charged and neutral pions; and computation and explanation of valence-quark distribution functions in pseudoscalar mesons. We argue that in solving QCD, a constructive feedback between theory and extant and forthcoming experiments will enable constraints to be placed on the infrared behaviour of QCD's beta-function, the nonperturbative quantity at the core of hadron physics.

28 pages, 15 figures, 2 tables. Version to appear in the Chinese Journal of Physics

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Cited by in corpus (42)

• Collective perspective on advances in Dyson-Schwinger Equation QCD
• Explanation and Prediction of Observables using Continuum Strong QCD
• Bridging a gap between continuum-QCD and ab initio predictions of hadron observables
• Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
• Commentary on rainbow-ladder truncation for excited states and exotics
• Nucleon and $\Delta$ elastic and transition form factors
• Nucleon and Roper electromagnetic elastic and transition form factors
• On the zero crossing of the three-gluon vertex
• Sketching the pion's valence-quark generalised parton distribution
• Leading-twist parton distribution amplitudes of S-wave heavy-quarkonia
• Ward-Green-Takahashi identities and the axial-vector vertex
• Discretization effects on renormalized gauge-field Green's functions, scale setting and gluon mass
• The light scalar mesons as tetraquarks
• Nucleon spin structure at very high-x
• ${\gamma }^{\ast }\gamma \to \eta ,{\eta }^{\prime }$ transition form factors
• Impressions of the Continuum Bound State Problem in QCD
• Three Lectures on Hadron Physics
• Elastic and transition form factors of the Δ(1232)
• Poincaré-covariant analysis of heavy-quark baryons
• Understanding the nucleon as a Borromean bound-state
• Transition between nuclear and quark-gluon descriptions of hadrons and light nuclei
• Flavour symmetry breaking in the kaon parton distribution amplitude
• Features and flaws of a contact interaction treatment of the kaon
• Distribution amplitudes of light-quark mesons from lattice QCD
• Proton tensor charges from a Poincaré-covariant Faddeev equation
• Dressed-quarks and the nucleon's axial charge
• The radius of the rho meson determined from its decay constant
• Hadronic Observables from Dyson-Schwinger and Bethe-Salpeter equations
• What binds quarks together at different momentum scales? A conceptual scenario
• N* Structure and Strong QCD
• Effect of the Quark-Gluon Vertex on Dynamical Chiral Symmetry Breaking
• Charmonium Spectral Functions and Transport Properties of Quark-Gluon Plasma
• Looking into the matter of light-quark hadrons
• Consequences of simultaneous chiral symmetry breaking and deconfinement for the isospin symmetric phase diagram
• Flavor dependence of the thermal dissociations of vector and axial-vector mesons
• DSE inspired model for the pion's valence dressed-quark GPD
• From continuum QCD to hadron observables
• Anomalous quark-gluon chromomagnetic interaction and high energy $\rho$-meson electroproduction
• DSE Perspective on QCD Modeling, Distribution Amplitudes, and Form Factors
• ${\gamma }_{\mathbf{v}}\mathbf{N}{\mathbf{N}}^{\ast }$ Electrocouplings in Dyson-Schwinger Equations
• On the zero-crossing of the three-gluon Green's function from lattice simulations
• An algebraic model for the pion's valence-quark GPD