Infrared Properties of QCD from Dyson-Schwinger equations

Abstract

I review recent results on the infrared properties of QCD from Dyson-Schwinger equations. The topics include infrared exponents of one-particle irreducible Green's functions, the fixed point behaviour of the running coupling at zero momentum, the pattern of dynamical quark mass generation and properties of light mesons.

47 pages, 19 figures, Topical Review to be published in J.Phys.G, v2: typos corrected and some references added

References in corpus (2)

• Infrared behaviour of the ghost-gluon vertex in Landau gauge Yang-Mills theory
• The massive analytic invariant charge in QCD

Cited by in corpus (187)

• The nonperturbative functional renormalization group and its applications
• The Phase Structure of the Polyakov--Quark-Meson Model
• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Baryons as relativistic three-quark bound states
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• Pinch Technique: Theory and Applications
• Chiral symmetry breaking in continuum QCD
• Inhomogeneous chiral condensates
• Distribution Functions of the Nucleon and Pion in the Valence Region
• The quark-gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement
• From Kadanoff-Baym dynamics to off-shell parton transport
• Scaling behavior and positivity violation of the gluon propagator in full QCD
• Three-point vertices in Landau-gauge Yang-Mills theory
• Abelian anomaly and neutral pion production
• On the running coupling constant in QCD
• Propagators and phase structure of Nf=2 and Nf=2+1 QCD
• QCD phase structure from functional methods
• Vector meson form factors and their quark-mass dependence
• Gluon mass generation in the PT-BFM scheme
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory II
• Nucleon electromagnetic form factors from the covariant Faddeev equation
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory
• Ghost anomalous dimension in asymptotically safe quantum gravity
• On the zero crossing of the three-gluon vertex
• Two- and three-point Green's functions in two-dimensional Landau-gauge Yang-Mills theory
• Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)
• Determination of the effective strong coupling constant alpha_{s,g_1}(Q^2) from CLAS spin structure function data
• Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
• Fully coupled functional equations for the quark sector of QCD
• The quark-gluon vertex in Landau gauge bound-state studies
• Hadronic unquenching effects in the quark propagator
• Beyond the rainbow: effects from pion back-coupling
• Asymptotically free scalar curvature-ghost coupling in Quantum Einstein Gravity
• More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
• A Dyson-Schwinger study of the four-gluon vertex
• On light baryons and their excitations
• QCD phase transitions via a refined truncation of Dyson-Schwinger equations
• Gauge Sector Dynamics in QCD
• Infrared Gluon and Ghost Propagators
• The infrared behavior of Landau gauge Yang-Mills theory in d=2, 3 and 4 dimensions
• Quark Confinement: The Hard Problem of Hadron Physics
• On gluon and ghost propagators in linear covariant gauges
• Quark Number Fluctuations at Finite Temperature and Finite Chemical Potential via the Dyson-Schwinger Equation Approach
• Does The Lattice Zero Momentum Gluon Propagator for Pure Gauge SU(3) Yang-Mills Theory Vanish in the Infinite Volume Limit?
• QCD Running Couplings and Effective Charges
• B- to light-meson transition form factors
• Light Baryon Spectroscopy
• Two- and three-point functions in two-dimensional Landau-gauge Yang-Mills theory: Continuum results
• Ghost spectral function from the spectral Dyson-Schwinger equation
• $\bar{q}q$ condensate for light quarks beyond the chiral limit
• Delta and Omega electromagnetic form factors in a Dyson-Schwinger/Bethe-Salpeter approach
• Nonperturbative light-front Hamiltonian methods
• U_A(1) anomaly and eta' mass from an infrared singular quark-gluon vertex
• The running coupling from the four-gluon vertex in Landau gauge Yang-Mills theory
• Propagator Dyson-Schwinger Equations of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism
• Nonperturbative study of the four gluon vertex
• Large volume behaviour of Yang-Mills propagators
• The Coulomb gauge ghost Dyson-Schwinger equation
• Quark Wigner distributions in a light-cone spectator model
• Nonperturbative Ball-Chiu construction of the three-gluon vertex
• Ghost dynamics in the soft gluon limit
• A covariant study of tensor mesons
• Emergence of mass in the gauge sector of QCD
• Infrared facets of the three-gluon vertex
• On the unlocking of color and flavor in color-superconducting quark matter
• Masses of J^PC =1^-+ exotic quarkonia in a Bethe-Salpeter-equation approach
• Extraction of Spectral Functions from Dyson-Schwinger Studies via the Maximum Entropy Method
• The analytic structure of the lattice Landau gauge gluon and ghost propagators
• Perturbation Theory of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism
• Exploring smoking-gun signals of the Schwinger mechanism in QCD
• Accessing directly the properties of fundamental scalars in the confinement and Higgs phase
• Nucleon Compton scattering in the Dyson-Schwinger approach
• Matrix algorithms for solving (in)homogeneous bound state equations
• Width of the QCD transition in a Polyakov-loop DSE model
• Quark-gluon vertex from Nf=2 lattice QCD
• Delta-baryon mass in a covariant Faddeev approach
• Rho-meson, Bethe-Salpeter equation, and the far infrared
• Gluon condensation and scaling exponents for the propagators in Yang-Mills theory
• Infrared finite ghost propagator in the Feynman gauge
• Hamiltonian Flow in Coulomb Gauge Yang-Mills Theory
• Two Photon Transition Form Factor of $\bar{c}c$ Quarkonia
• Lattice three-gluon vertex in extended kinematics: planar degeneracy
• Color-spin locking in a self-consistent Dyson-Schwinger approach
• Chiral symmetry and pi-pi scattering in the Covariant Spectator Theory
• Linear confinement in momentum space: singularity-free bound-state equations
• Progress in nonequilibrium quantum field theory III
• Spurious divergences in Dyson-Schwinger equations
• On the Infrared Behavior of Landau Gauge Yang-Mills Theory with a Fundamentally Charged Scalar Field
• A first look at Landau-gauge propagators in G2 Yang-Mills theory
• The soft-gluon limit and the infrared enhancement of the quark-gluon vertex
• Yang-Mills propagators in linear covariant gauges from Nielsen identities
• Infrared Gluon and Ghost Propagator Exponents From Lattice QCD
• Hamiltonian Approach to 1+1 dimensional Yang-Mills theory in Coulomb gauge
• $\eta$ and ${\eta }^{\prime }$ mesons in the Dyson-Schwinger approach at finite temperature
• Thermodynamic instabilities in dynamical quark models with complex conjugate mass poles
• Phase structure of 2+1-flavour QCD and the magnetic equation of state
• On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators
• Quarks in Coulomb gauge perturbation theory
• A fresh look at hadronic light-by-light scattering in the muon g-2 with the Dyson-Schwinger approach
• Planar degeneracy of the three-gluon vertex
• On the quark spectral function in QCD
• Application of the light-front coupled-cluster method to ${\varphi }^4$ theory in two dimensions
• What Does Low Energy Physics Tell Us About The Zero Momentum Gluon Propagator
• Running coupling in the conformal window of large-Nf QCD
• Linear Covariant Gauges on the Lattice
• Mass spectrum of pseudo-scalar glueballs from a Bethe-Salpeter approach with the rainbow-ladder truncation
• Bulk Strong Matter: the Trinity
• Non-perturbative momentum dependence of the coupling constant and hadronic models
• Bayesian inference of real-time dynamics from lattice QCD
• Higher order heavy quark Green's functions in Coulomb gauge
• Quark mass function from a one-gluon-exchange-type interaction in Minkowski space
• Towards a Born term for hadrons
• Is the remnant of GW190425 a strange quark star?
• Proof of triviality of $\lambda {\varphi }^4$ theory
• Novel sum rules for the three-point sector of QCD
• Delta properties in the rainbow-ladder truncation of Dyson-Schwinger equations
• Gluon dynamics from an ordinary differential equation
• Probing the singularities of the Landau-gauge gluon and ghost propagators with rational approximants
• Gluon mass scale through the Schwinger mechanism
• Dpes massless QCD have vacuum energy?
• Theory and Phenomenology of Hadrons
• Pulsar Glitch in a Strangeon Star Model. III. The recovery
• Four-gluon vertex from the Curci-Ferrari model at one-loop order
• Ordinary and exotic mesons in the extended Linear Sigma Model
• Infrared Gluon and Ghost Propagators from Lattice QCD. Results from large asymmetric lattices
• The analytic structure of the Landau gauge quark propagator from Padé analysis
• Hadronic bound-states in SU(2) from Dyson--Schwinger Equations
• Covariant variational approach to Yang-Mills Theory: Thermodynamics
• On the complex structure of Yang-Mills theory
• Overlap quark propagator near the physical pion mass
• Temperature Dependence of the Axion Mass in a Scenario Where the Restoration of Chiral Symmetry Drives the Restoration of the $U_A(1)$ Symmetry
• On the gauge boson's properties in a candidate technicolor theory
• From Euclidean to Minkowski space with the Cauchy-Riemann equations
• QCD phase transition and equation of state of stellar strong interaction matter via Dyson-Schwinger equation approach
• New insight on the quark condensate beyond chiral limit
• Aspects of quark mass generation on a torus
• What the Infrared Behaviour of QCD Vertex Functions in Landau gauge can tell us about Confinement
• Nonperturbative screening of the Landau pole
• Center phase transition from matter propagators in (scalar) QCD
• Quantum-classical interactions through the path integral
• A comprehensive approach to the physics of mesons
• $\eta$ and ${\eta }^{\prime }$ mesons in the Dyson-Schwinger approach using a generalization of the Witten-Veneziano relation
• Schwinger-Dyson truncations in the all-soft limit: a case study
• Gluon correlation functions from lattice quantum chromodynamics
• Schwinger - Dyson equation and NJL approximation in massive gauge theory with fermions
• Looking at QED with Dyson-Schwinger equations: basic equations, Ward-Takahashi identities and the two-photon-two-fermion irreducible vertex
• Heavy tetraquark confining potential in Coulomb gauge QCD
• Propagators and topology
• Confinement and Green functions in Landau-gauge QCD
• Asymptotic Infrared Fractal Structure of the Propagator for a Charged Fermion
• Quark Schwinger-Dyson equation in temporal Euclidean space
• Dynamical symmetry breaking in Georgi-Glashow chiral-gauge theories
• Dark Sector Showers and Hadronisation in Herwig 7
• Mass-dependence of pseudocritical temperature in mean field approximation
• The Equal-Time Quark Propagator in Coulomb Gauge
• The $A^2$ Asymmetry and Gluon Propagators in Lattice $SU(3)$ Gluodynamics at $T\simeq T_c$
• Two-dimensional gluon propagators in maximally Abelian gauge in SU(2) Lattice QCD
• Gauge engineering and propagators
• Quark sector of Coulomb gauge Quantum Chromodynamics
• The quenched SU(2) scalar-gluon vertex in minimal Landau gauge
• Infrared exponents of gluon and ghost propagators from Lattice QCD
• Roles of the color antisymmetric ghost propagator in the infrared QCD
• Simple high-accuracy method for solving bound-state equations with the Cornell potential in momentum space
• Green's Functions and Topological Configurations
• Patterns of gauge symmetry in the background field method
• Partial wave analysis for the in-hadron condensate
• Confinement with Perturbation Theory, after All?
• Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis
• Pion observables calculated in Minkowski and Euclidean spaces with Ansätze for quark propagators
• Non-perturbative aspects of Yang-Mills theories
• The effective potential of the Polyakov loop in the Hamiltonian approach to QCD
• Everlasting interaction: polarization summation without a Landau pole
• Lower dimensional Yang-Mills theory as a laboratory to study the infrared regime
• A Numerical Approach to Coulomb Gauge QCD
• Hamiltonian approach to Coulomb gauge Yang-Mills Theory
• Influence of broken flavor and C and P symmetry on the quark propagator
• Studying pion effects in the quark propagator
• Schwinger-Dyson type equations for some QFT models
• Relativistic bound states at Born level
• Theory, phenomenology, and experimental avenues for dark showers: a Snowmass 2021 report
• The four-gluon vertex and the running coupling in Landau gauge Yang-Mills theory
• The Polyakov loop dependence of bulk viscosity of QCD matter
• Gribov copies in the quark propagator
• Infrared behavior of QCD from the Dyson-Schwinger formalism
• Ghost dynamics from Schwinger-Dyson equations
• Dynamically induced scalar quark confinement: A link between chiral symmetry breaking and confinement
• Introduction to QCD - a bound state perspective