Quark Confinement: The Hard Problem of Hadron Physics

Abstract

We give a brief overview of the problem of quark confinement in hadronic physics, and outline a few of the suggested explanations of the confining force.

21 pages, 3 figures, commissioned review article for a special focus issue of J. Phys. G on Hadron Physics; v2 references updated

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• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
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• The quark-gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement
• Landau-gauge propagators in Yang-Mills theories at beta = 0: massive solution versus conformal scaling
• Real-time dynamics of string breaking in quantum spin chains
• Lattice Quantum Electrodynamics in (3+1)-dimensions at finite density with Tensor Networks
• Covariant gauge on the lattice: a new implementation
• Confinement and string breaking for QED${}_2$ in the Hamiltonian picture
• Does The Lattice Zero Momentum Gluon Propagator for Pure Gauge SU(3) Yang-Mills Theory Vanish in the Infinite Volume Limit?
• U_A(1) anomaly and eta' mass from an infrared singular quark-gluon vertex
• On the interrelation between monopoles, vortices, topological charge and chiral symmetry breaking: an analysis using overlap fermions for SU(2)
• Strong-coupling study of the Gribov ambiguity in lattice Landau gauge
• On the analytic structure of scalar glueball operators at Born level
• Matrix algorithms for solving (in)homogeneous bound state equations
• Calorons and dyons at the thermal phase transition analyzed by overlap fermions
• Chiral Symmetry Breaking on the Lattice
• The No-Pole Condition in Landau gauge: Properties of the Gribov Ghost Form-Factor and a Constraint on the 2d Gluon Propagator
• Glueballs and Mesons: the Ground States
• Static $\bar{Q}Q$ Potentials and the Magnetic Component of QCD Plasma near $T_c$
• Preconditioning Maximal Center Gauge with Stout Link Smearing in SU(3)
• On the reanimation of a local BRST invariance in the (Refined) Gribov-Zwanziger formalism
• Non-perturbative constraints on the quark and ghost propagators
• Linear Covariant Gauges on the Lattice
• Dyson-Schwinger equation constraints on the gluon propagator in BRST quantised QCD
• Confinement from semiclassical gluon fields in SU(2) gauge theory
• A study of the influence of the gauge group on the Dyson-Schwinger equations for scalar-Yang-Mills systems
• Two-point functions of quenched lattice QCD in Numerical Stochastic Perturbation Theory. (I) The ghost propagator in Landau gauge
• Hadron properties from QCD bound-state equations: A status report
• What the Infrared Behaviour of QCD Vertex Functions in Landau gauge can tell us about Confinement
• Skyrmions from calorons
• The quenched SU(2) fundamental scalar propagator in minimal Landau gauge
• Approximately-symmetric neural networks for quantum spin liquids
• Drag Force in the Vacuum of Confining Gauge Theories
• Yang-Mills Theory in lambda-Gauges
• Confinement from Correlated Instanton-Dyon Ensemble in SU(2) Yang-Mills Theory
• Confinement & Chiral Symmetry Breaking: The fundamental problems of hadron physics
• Propagators and topology
• The quenched SU(2) adjoint scalar propagator in minimal Landau gauge
• Elucidating the rho-meson's role as intermediate resonance in the time-like electromagnetic pion form factor
• On the connection between Hamilton and Lagrange formalism in Quantum Field Theory
• The $A^2$ Asymmetry and Gluon Propagators in Lattice $SU(3)$ Gluodynamics at $T\simeq T_c$
• Spinning Pairs: Supporting ${}^3{P}_0$ Quark-Pair Creation from Landau Gauge Green's Functions
• The quenched SU(2) scalar-gluon vertex in minimal Landau gauge
• Vacuum structure and string tension in Yang-Mills dimeron ensembles
• A theorem concerning twisted and untwisted partition functions in U(N) and SU(N) lattice gauge theories
• Colour Confinement and Deformed Baryons in Quantum Chromodynamics
• Chromo-field flux sheets as confining gauge field configurations in the SU(N) Euclidean Yang-Mills theory in the Landau gauge
• Non-perturbative BRST symmetry and the spectral structure of the ghost propagator