Collective perspective on advances in Dyson-Schwinger Equation QCD

Abstract

We survey contemporary studies of hadrons and strongly interacting quarks using QCD's Dyson-Schwinger equations, addressing: aspects of confinement and dynamical chiral symmetry breaking; the hadron spectrum; hadron elastic and transition form factors, from small- to large-Q^2; parton distribution functions; the physics of hadrons containing one or more heavy quarks; and properties of the quark gluon plasma.

56 pages. Summary of lectures delivered by the authors at the "Workshop on AdS/CFT and Novel Approaches to Hadron and Heavy Ion Physics," 2010-10-11 to 2010-12-03, hosted by the Kavli Institute for Theoretical Physics, China, at the Chinese Academy of Sciences

References in corpus (66)

• The QCD transition temperature: results with physical masses in the continuum limit II.
• The Phase Structure of the Polyakov--Quark-Meson Model
• Infrared Properties of QCD from Dyson-Schwinger equations
• Determination of the Charged Pion Form Factor at Q2=1.60 and 2.45 (GeV/c)2
• Sketching the Bethe-Salpeter kernel
• Interaction model for the gap equation
• Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
• Results from the Relativistic Heavy Ion Collider
• Nature of the f_0(600) from its N_c dependence at two loops in unitarized Chiral Perturbation Theory
• 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
• Neutral B Meson Mixing in Unquenched Lattice QCD
• Dressed-quark anomalous magnetic moments
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• Abelian anomaly and neutral pion production
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• pi- and rho-mesons, and their diquark partners, from a contact interaction
• Vector meson form factors and their quark-mass dependence
• Flavor decomposition of the elastic nucleon electromagnetic form factors
• Commentary on rainbow-ladder truncation for excited states and exotics
• Chiral Perturbation Theory Beyond One Loop
• Measurements of the Electric Form Factor of the Neutron up to Q2=3.4 GeV2 using the Reaction He3(e,e'n)pp
• Nucleon electromagnetic form factors from the covariant Faddeev equation
• Pion form factor from a contact interaction
• Finite density QCD with a canonical approach
• Maximum Wavelength of Confined Quarks and Gluons and Properties of Quantum Chromodynamics
• Nucleon and Roper electromagnetic elastic and transition form factors
• Masses of ground and excited-state hadrons
• On the Pion Distribution Amplitude Shape
• Perspective on rainbow-ladder truncation
• Chiral and deconfinement transition from Dyson-Schwinger equations
• Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
• Dependence of nuclear binding on hadronic mass variation
• Pion and kaon valence-quark parton distribution functions
• Dynamical chiral symmetry breaking and the fermion--gauge-boson vertex
• Thermodynamics and critical behavior in the Nambu-Jona-Lasinio model of QCD
• Regarding confinement and dynamical chiral symmetry breaking in QED3
• Building the Full Fermion-Photon Vertex of QED by Imposing Multiplicative Renormalizability of the Schwinger-Dyson Equations for the Fermion and Photon Propagators
• Gauge invariance of a critical number of flavours in QED3
• Interference between f0(980) and rho(770) resonances in B --> pion-pion-kaon decays
• Chiral phase transition in the presence of spinodal decomposition
• Flavour symmetry breaking and meson masses
• Dynamical chiral symmetry breaking and a critical mass
• Lattice QCD at finite temperature and density
• B- to light-meson transition form factors
• Unquenching effects in the quark and gluon propagator
• Quark spectral density and a strongly-coupled QGP
• Mind the gap
• $\bar{q}q$ condensate for light quarks beyond the chiral limit
• Quark spectral properties above Tc from Dyson-Schwinger equations
• Chemical potential and the gap equation
• Expanding the concept of in-hadron condensates
• Strong D* -> D+pi and B* -> B+pi couplings
• The decay constant of the first excited pion from lattice QCD
• A covariant study of tensor mesons
• Influence of the isospin and hypercharge chemical potentials on the location of the CEP in the mu_B-T phase diagram of the SU(3)_L x SU(3)_R chiral quark model
• Extraction of Spectral Functions from Dyson-Schwinger Studies via the Maximum Entropy Method
• Flavor SU(4) breaking between effective couplings
• Novel Collective Excitations and the Quasi-Particle Picture of Quarks Coupled with a Massive Boson at Finite Temperature
• Spectral properties of massless and massive quarks coupled with massive boson at finite temperature
• QCD with two light dynamical chirally improved quarks: Mesons
• Polarized structure functions of nucleons and nuclei
• Revisiting the Vector and Axial-vector Vacuum Susceptibilities
• Confinement in Maxwell-Chern-Simons Planar Quantum Electrodynamics and the 1/N approximation
• Scalar resonances in a unitary $\pi -\pi$ $S$-wave model for $D^{+}\to {\pi }^{+}{\pi }^{-}{\pi }^{+}$

Cited by in corpus (236)

• Equations of state for supernovae and compact stars
• Baryons as relativistic three-quark bound states
• The QCD phase structure at finite temperature and density
• Explanation and Prediction of Observables using Continuum Strong QCD
• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• The QCD Running Coupling
• Imaging dynamical chiral symmetry breaking: pion wave function on the light front
• Bridging a gap between continuum-QCD and ab initio predictions of hadron observables
• 50 Years of Quantum Chromodynamics
• Pion electromagnetic form factor at spacelike momenta
• Light mesons in QCD and unquenching effects from the 3PI effective action
• Quark flavour effects on gluon and ghost propagators
• The pion: an enigma within the Standard Model
• Diquark Correlations in Hadron Physics: Origin, Impact and Evidence
• QCD phase structure from functional methods
• Dynamical holographic QCD model for glueball and light meson spectra
• Vector interaction enhanced bag model for astrophysical applications
• Nucleon and $\Delta$ elastic and transition form factors
• Completing the picture of the Roper resonance
• Structure of the neutral pion and its electromagnetic transition form factor
• Symmetry preserving truncations of the gap and Bethe-Salpeter equations
• On the zero crossing of the three-gluon vertex
• Spectrum of light- and heavy-baryons
• Spectrum of hadrons with strangeness
• Fully coupled functional equations for the quark sector of QCD
• The quark-gluon vertex in Landau gauge bound-state studies
• Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach
• On the Quark-Gluon Vertex and Quark-Ghost Kernel: combining Lattice Simulations with Dyson-Schwinger equations
• Sketching the pion's valence-quark generalised parton distribution
• On light baryons and their excitations
• QCD phase transitions via a refined truncation of Dyson-Schwinger equations
• Gauge Sector Dynamics in QCD
• Refining the detection of the zero crossing for the symmetric and asymmetric three-gluon vertices
• Masses of Light and Heavy Mesons and Baryons: A Unified Picture
• Leading-twist parton distribution amplitudes of S-wave heavy-quarkonia
• Ghost propagator and ghost-gluon vertex from Schwinger-Dyson equations
• Discretization effects on renormalized gauge-field Green's functions, scale setting and gluon mass
• Ward-Green-Takahashi identities and the axial-vector vertex
• Gravitational form factors of light mesons
• Parton distribution amplitudes of light vector mesons
• Phase diagram and thermal properties of strong-interaction matter
• Nucleon spin structure at very high-x
• ${\gamma }^{\ast }\gamma \to \eta ,{\eta }^{\prime }$ transition form factors
• Quark Number Fluctuations at Finite Temperature and Finite Chemical Potential via the Dyson-Schwinger Equation Approach
• Pion distribution amplitude from lattice-QCD
• Three Lectures on Hadron Physics
• Pion cloud effects on baryon masses
• Nontrivial ghost-gluon vertex and the match of RGZ, DSE and lattice Yang-Mills propagators
• Exciting flavored bound states
• Quarkyonic phase from quenched dynamical holographic QCD model
• Quark-gluon Vertex: A Perturbation Theory Primer and Beyond
• Light mesons with one dynamical gluon on the light front
• Elastic and transition form factors of the Δ(1232)
• Landau gauge Yang-Mills propagators in the complex momentum plane
• Recent developments in bound-state calculations using the Dyson-Schwinger and Bethe-Salpeter equations
• Nucleon tensor charges and electric dipole moments
• From Bethe-Salpeter Wave Functions to Generalised Parton Distributions
• Baryon and meson screening masses
• Revealing dressed-quarks via the proton's charge distribution
• Poincaré-covariant analysis of heavy-quark baryons
• Understanding the nucleon as a Borromean bound-state
• Non-perturbative aspects of Euclidean Yang-Mills theories in linear covariant gauges: Nielsen identities and a BRST invariant two-point correlation function
• Interface Effect in QCD Phase Transitions via Dyson-Schwinger Equation Approach
• Charmed mesons with a symmetry-preserving contact interaction
• Mass sensitivity of the three-flavor chiral phase transition
• Charmonia in a Contact Interaction
• Flavour symmetry breaking in the kaon parton distribution amplitude
• Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations
• Contact-interaction Faddeev equation and, inter alia, proton tensor charges
• Distribution amplitudes of light-quark mesons from lattice QCD
• Features and flaws of a contact interaction treatment of the kaon
• Resolving the Bethe-Salpeter kernel
• Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD
• Parametrizations of three-body hadronic $B$- and $D$-decay amplitudes in terms of analytic and unitary meson-meson form factors
• ${\eta }_c$ Elastic and Transition Form Factors: Contact Interaction and Algebraic Model
• Gluon mass generation in the massless bound-state formalism
• Transverse Takahashi Identities and Their Implications for Gauge Independent Dynamical Chiral Symmetry Breaking
• Heavy quarkonia in a contact interaction and an algebraic model: mass spectrum, decay constants, charge radii and elastic and transition form factors
• Distribution Amplitudes of Heavy Mesons and Quarkonia on the Light Front
• Proton tensor charges from a Poincaré-covariant Faddeev equation
• Probing the quark-gluon interaction with hadrons
• BRST-Symmetry Breaking and Bose-Ghost Propagator in Lattice Minimal Landau Gauge
• Light front distribution of the chiral condensate
• Neutron valence structure from nuclear deep inelastic scattering
• QCD: Restoration of Chiral Symmetry and Deconfinement for Large N_f
• Pion and kaon elastic form factors in a refined light-front model
• Octet and Decuplet masses: a covariant three-body Faddeev calculation
• Nucleon Compton scattering in the Dyson-Schwinger approach
• Dressed-quarks and the nucleon's axial charge
• Bound state properties from the Functional Renormalisation Group
• Ab initio nonperturbative calculation of physical observables in light-front dynamics. Application to the Yukawa model
• Four-quark states from functional methods
• Mass spectrum and decay constants of radially excited vector mesons
• Existence and stability of multiple solutions to the gap equation
• Hadronic Observables from Dyson-Schwinger and Bethe-Salpeter equations
• The dynamical holographic QCD method for hadron physics and QCD matter
• Nucleon axial-vector and pseudoscalar form factors, and PCAC relations
• Inhomogeneous chiral condensation under rotation in the holographic QCD
• Aspects of open-flavour mesons in a comprehensive DSBSE study
• Continuum study on QCD phase diagram through an OPE-modified gluon propagator
• Two Photon Transition Form Factor of $\bar{c}c$ Quarkonia
• The role of momentum dependent dressing functions and vector meson dominance in hadronic light-by-light contributions to the muon g-2
• A combined study of the pion's static properties and form factors
• Strangeness Neutrality and QCD Thermodynamics
• The QCD phase diagram from Schwinger-Dyson Equations
• Excited hadrons and the analytical structure of bound-state interaction kernels
• The ghost-gluon vertex in the presence of the Gribov horizon
• Interplay of dynamical and explicit chiral symmetry breaking effects on a quark
• Inverse magnetic catalysis and confinement within a contact interaction model for quarks
• Going to the light front with contour deformations
• The Quark-Gluon Vertex and the QCD Infrared Dynamics
• Measurement of the ${}^{1}H$($\vec{\gamma }$, $\vec{p}$)${\pi }^0$ reaction using a novel nucleon spin polarimeter
• A Novel Algorithm for Extracting the Parton Distribution Amplitude from the Euclidean Bethe-Salpeter Wave Function
• Padé approximation and glueball mass estimates in 3d and 4d with N_c = 2,3 colors
• Zero mode in a strongly coupled quark gluon plasma
• Electromagnetic Form Factors and Charge Radii of Pseudoscalar and Scalar Mesons: A Comprehensive Contact Interaction Analysis
• Practical scheme from QCD to phenomena via Dyson-Schwinger equations
• Spontaneous chiral symmetry breaking in the massive Landau gauge: realistic running coupling
• QCD phase transition drives supernova explosion of a very massive star
• Effect of the Quark-Gluon Vertex on Dynamical Chiral Symmetry Breaking
• First look at heavy-light mesons with a dressed quark-gluon vertex
• More about the light baryon spectrum
• Leading-twist distribution amplitudes of scalar- and vector-mesons
• Phase structure of 2+1-flavour QCD and the magnetic equation of state
• Multiple solutions for the fermion mass function in QED3
• Fermion and Photon gap-equations in Minkowski space within the Nakanishi Integral Representation method
• Exact Solutions to the Fermion Propagator Schwinger-Dyson Equation in Minkowski space with on-shell Renormalization for Quenched QED
• Revisiting the Equation of State of Hybrid Stars in the Dyson-Schwinger Equation Approach to QCD
• Heavy-light mesons beyond ladder approximation
• Temperature Effect on Shear and Bulk Viscosities of QCD Matter
• Couplings between the $\rho$ and $D$- and $D^{\ast }$-mesons
• The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking
• A fresh look at the (non-)Abelian Landau-Khalatnikov-Fradkin transformations
• Pseudoscalar mesons with symmetric bound state vertex functions on the light front
• Four-quark scatterings in QCD I
• Mass structure of hadrons and light-front sum rules in t' Hooft model
• Distribution amplitudes of light diquarks
• Electric dipole moment of the rho-meson
• Towards a Pion Generalized Parton Distribution Model from Dyson-Schwinger Equations
• Three-body model for $K(1460)$ resonance
• Light-quarkonium spectra and orbital-angular-momentum decomposition in a Bethe-Salpeter-equation approach
• Gauge dependence of the quark gap equation: an exploratory study
• $D^{\ast }$ and $D_s^{\ast }$ distribution amplitudes from Bethe-Salpeter wave functions
• Vacuum Polarization and Dynamical Chiral Symmetry Breaking: Phase Diagram of QED with Four-Fermion Contact Interaction
• Fermionic dark matter-photon quantum interaction: A mechanism for darkness
• Gluon PDF from Quark dressing in the Nucleon and Pion
• Exploring the flavor content of light and heavy-light pseudoscalars
• Hadronic structure on the light-front VIII. Light scalar and vector mesons
• How gauge covariance of the fermion and boson propagators in QED constrain the effective fermion-boson vertex
• Solving the Bethe-Salpeter Equation in Minkowski Space for a Fermion-Scalar system
• Flavor-dependent U(3) Nambu Jona Lasinio coupling constant
• 70 Years of Hyperon Spectroscopy: A review of strange $\Xi$, $\Omega$ baryons, and the spectrum of charmed and bottom baryons
• Chiral crossover transition from the Dyson-Schwinger equations in a sphere
• Excited $B_c$ States via Continuum QCD
• Insights into the quark-gluon vertex from lattice QCD and meson spectroscopy
• The photon-pion transition form factor: incompatible data or incompatible models?
• Gluon mass scale through the Schwinger mechanism
• Gauge covariance of the fermion Schwinger-Dyson equation in QED
• Low energy meson spectrum from a QCD approach based on many-body methods
• The time-like electromagnetic kaon form factor
• Strangeness content of the pion in the U(3) Nambu-Jona-Lasinio model
• Physical spectrum from confined excitations in a Yang-Mills-inspired toy model
• Higher Order Corrections to the Asymptotic Perturbative Solution of a Schwinger-Dyson Equation
• Three-boson bound states in Minkowski space with contact interactions
• Parton distribution functions and transverse momentum dependence of heavy mesons
• Light vector and axial mesons effective couplings to constituent quarks
• On the Landau-gauge adjoint quark propagator
• Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules
• Charming quasi-exotic open-flavor mesons
• The light front wave functions and diffractive electroproduction of vector mesons
• The Podolsky propagator in gap and bound-state equations
• Quark-antiquark states of the lightest scalar mesons within the Nambu-Jona-Lasinio model with flavor-dependent coupling constants
• Timelike form factor for the anomalous process ${\gamma }^{\ast }\pi \to \pi \pi$
• A contact interaction model for the $\eta$ and ${\eta }^{\prime }$ mesons in a SDE-BSE approach to QCD: masses, decay widths and transition form factors
• Dressed Quark Tensor Vertex and Nucleon Tensor Charge
• Consequences of simultaneous chiral symmetry breaking and deconfinement for the isospin symmetric phase diagram
• Dynamical Chiral Symmetry Breaking in Quantum Chromo Dynamics: Delicate and Intricate
• New insight on the quark condensate beyond chiral limit
• Spontaneous mass generation and the small dimensions of the Standard Model gauge groups U(1), SU(2) and SU(3)
• QCD phase transition and equation of state of stellar strong interaction matter via Dyson-Schwinger equation approach
• Gluon and Ghost Dynamics from Lattice QCD
• Super-Strong Coupling NJL model in arbitrary space-time dimensions
• Structure of the orbital excited $N^{\ast }$ from the Schwinger-Dyson equations
• Ghost-gluon vertex in the presence of the Gribov horizon: General kinematics
• Heavy-light mesons spectra in a contact interaction
• Schwinger - Dyson equation and NJL approximation in massive gauge theory with fermions
• Emergence of soft quark excitations by the coupling with a soft mode of the QCD critical point
• U(5) Nambu-Jona-Lasinio model with flavor dependent coupling constants: pseudoscalar and scalar mesons masses
• Electromagnetic contribution to charge symmetry violation in parton distributions
• Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator
• Theoretical estimates of the width of light-meson states in the SO(4) (2+1)-flavor limit
• Flavor dependence of the thermal dissociations of vector and axial-vector mesons
• DSE inspired model for the pion's valence dressed-quark GPD
• Effect of momentum anisotropy on quark matter in the quark-meson model
• Contemporary continuum QCD approaches to excited hadrons
• From continuum QCD to hadron observables
• The Charm and Beauty of Strong Interactions
• Proton quark distributions from a light-front Faddeev-Bethe-Salpeter approach
• DSE Perspective on QCD Modeling, Distribution Amplitudes, and Form Factors
• Distribution amplitudes of heavy-light pseudo-scalar and vector mesons from Dyson-Schwinger equations framework
• Parton Decomposition of Nucleon Spin and Momentum: Gluons from Dressed Quarks
• Heavy-meson chiral Lagrangians, effective flavored couplings, SU(4) flavor breaking and their consequences
• Pseudoscalar current and covariance with the light-front approach
• Constraining the Hadron-Quark Phase Transition Chemical Potential via Astronomical Observation
• Nucleon Structure from Basis Light-Front Quantization : Status and Prospects
• $U_A(1)$ symmetry breaking quark interactions from vacuum polarization
• Chemical Freeze-out Parameters via a Non-perturbative QCD Approach
• Mass-dependence of pseudocritical temperature in mean field approximation
• Heavy-heavy and heavy-light mesons in cold nuclear matter
• The gap equations of background field invariant Refined Gribov-Zwanziger action proposals and the deconfinement transition
• Modern Dynamical Coupled-Channels Calculations for Extracting and Understanding the Nucleon Spectrum
• Partial wave analysis for the in-hadron condensate
• Probing Quarkonium Diffusion in a Magnetized Quark-Gluon Plasma
• Parton distribution and fragmentation functions with massive gluons
• ${\gamma }_{\mathbf{v}}\mathbf{N}{\mathbf{N}}^{\ast }$ Electrocouplings in Dyson-Schwinger Equations
• Electromagnetic transition form factors of baryons in a relativistic Faddeev approach
• The pion electromagnetic structure with self-energy
• Charged pions asymmetry from the decay of light neutral axial mesons due to interference
• Theoretical results for hadronic masses and their widths in the framework of the SO(4) model
• Beyond Rainbow-Ladder in a covariant three-body Bethe-Salpeter approach: Baryons
• Study of the Emergence of a Gluon Mass Scale from Center Vortices Using a Wave-Functional Formalism
• Influence of light quark loops on the Wigner phase with Dyson-Schwinger equations approach
• Gauge covariance of the gap equation: from the rainbow truncation to gauge symmetry constraints
• Light-quark baryon spectroscopy from ANL-Osaka dynamical coupled-channels analysis
• Application of radial basis functions neutral networks in spectral functions
• S- and D-wave vector charmonia
• Relative energy dependence of the Bethe-Salpeter amplitude in two-dimensional massless QED
• Bound state equations in Riemannian geometry
• Extracting topological information from momentum space propagators
• Pion's valence-quark GPD and its extension beyond DGLAP region
• Mesons and Baryons: Parity Partners
• Hadron physics and dynamical chiral symmetry breaking
• Symmetry breaking effects in pion couplings to constituent quark currents
• $D^{\ast }D\pi$ and $B^{\ast }B\pi$ couplings from Dyson-Schwinger equations framework
• An algebraic model for the pion's valence-quark GPD
• Valence-quark structure N* resonances from DSEs