The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States

Abstract

Recent studies of QCD Green's functions and their applications in hadronic physics are reviewed. We briefly discuss the issues of gauge fixing, BRS invariance and positivity. Evidence for the violation of positivity by quarks and transverse gluons in the covariant gauge is collected, and it is argued that this is one manifestation of confinement. We summarise the derivation of the Dyson-Schwinger equations (DSEs) of QED and QCD. The influence of instantons on DSEs in a 2-dimensional model is mentioned. Solutions for the Green's functions in QED in 2+1 and 3+1 dimensions provide tests of various schemes to truncate DSEs. We discuss possible extensions to QCD and their limitations. Truncation schemes for DSEs of QCD are discussed in the axial gauge and in the Landau gauge. We review the available results from a systematic non-perturbative expansion scheme established for Landau gauge QCD. Comparisons to related lattice results, where available, are presented. The applications of QCD Green's functions to hadron physics are summarized. Properties of ground state mesons are discussed on the basis of the Bethe-Salpeter equation for quarks and antiquarks. The Goldstone nature of pseudoscalar mesons and mechanisms of diquark confinement are reviewed. We discuss some properties of ground state baryons based on their description as Bethe-Salpeter/Faddeev bound states of quark-diquark correlations in the quantum field theory of confined quarks and gluons.

212 Pages, LaTeX2e, submitted to Physics Reports; typos corrected, improvements on grammar and style, references added

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• Flavourful hadronic physics
• Spontaneous chiral symmetry breaking in the massive Landau gauge: realistic running coupling
• Renormalizability of the linearly broken formulation of the BRST symmetry in presence of the Gribov horizon in Landau gauge Euclidean Yang-Mills theories
• Landau gauge ghost and gluon propagators and the Faddeev-Popov operator spectrum
• Strange quark matter and quark stars with the Dyson-Schwinger quark model
• Thermodynamic instabilities in dynamical quark models with complex conjugate mass poles
• Slavnov-Taylor identities in Coulomb gauge Yang-Mills theory
• More about the light baryon spectrum
• Thermal quarks and gluon propagators in two-color dense QCD
• Gluon mass through ghost synergy
• Quark scalar, axial, and pseudoscalar charges in the Schwinger-Dyson formalism
• Non local lagrangians(I): the pion
• Reflection positivity and complex analysis of the Yang-Mills theory from a viewpoint of gluon confinement
• Relevance of various Dirac covariants in hadronic Bethe-Salpeter wave functions in electromagnetic decays of ground state vector mesons
• The Most General and Renormalizable Maximal Abelian Gauge
• On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators
• Swimming with Quarks
• Phase structure and propagators at nonvanishing temperature for QCD and QCD-like theories
• Some remarks on the spectral functions of the Abelian Higgs Model
• On Goldstone bosons decoupling from high-lying hadrons
• Goldstone bosons and fermions in QCD
• Fermion and Photon gap-equations in Minkowski space within the Nakanishi Integral Representation method
• The role of the next-to-leading order triangle-shaped diagram in two-body hadronic decays
• On the reanimation of a local BRST invariance in the (Refined) Gribov-Zwanziger formalism
• Gribov gap equation at finite temperature
• eta and eta' mesons and dimension 2 gluon condensate <A^2>
• A fresh look at hadronic light-by-light scattering in the muon g-2 with the Dyson-Schwinger approach
• Realisation of chiral symmetry in the domain model of QCD
• Center vortices as sources of Abelian dominance in pure SU(2) Yang-Mills theory
• Electromagnetic structure of the nucleon and the Roper resonance in a light-front quark approach
• A non-perturbative study of matter field propagators in Euclidean Yang-Mills theory in linear covariant, Curci-Ferrari and maximal Abelian gauges
• Dependence of the propagators on the sampling of Gribov copies inside the first Gribov region of Landau gauge
• Non-perturbative constraints on the quark and ghost propagators
• The gluon and ghost propagator and the influence of Gribov copies
• J/psi dissociation by light mesons in an extended Nambu Jona-Lasinio model
• Planar degeneracy of the three-gluon vertex
• On the quark spectral function in QCD
• Heavy-light mesons beyond ladder approximation
• Infrared-suppressed gluon propagator in 4d Yang-Mills theory in a Landau-like gauge
• η' Multiplicity and the Witten-Veneziano relation at finite temperature
• Analytic approach to calculations of mass spectra and decay constants of heavy-light quarkonia in the framework of Bethe-Salpeter equation
• Nonperturbative contributions to the QCD pressure
• On bounds and boundary conditions in the continuum Landau gauge
• Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders
• Evaporation of the gluon condensate: a model for pure gauge SU(3)_c phase transition
• Ground state heavy baryon production in a relativistic quark-diquark model
• Two-loop corrections to the QCD propagators within the Curci-Ferrari model
• Constraining the gauge-fixed Lagrangian in minimal Landau gauge
• The BRST-invariant vacuum state of the Gribov-Zwanziger theory
• ${\eta }^{\prime }$ and $\eta$ mesons at high T when the U_A(1) and chiral symmetry breaking are tied
• Implications of analyticity to solution of Schwinger-Dyson equations in Minkowski space
• A fresh look at the (non-)Abelian Landau-Khalatnikov-Fradkin transformations
• Curci-Ferrari mass and the Neuberger problem
• Revisiting the annihilation decay ${\bar{B}}_s\to {\pi }^{+}{\pi }^{-}$
• What Does Low Energy Physics Tell Us About The Zero Momentum Gluon Propagator
• Solving a Set of Truncated Dyson-Schwinger Equations with a Globally Converging Method
• Phase transition of strongly interacting matter with a chemical potential dependent Polyakov loop potential
• Pion and $\eta$-meson mass splitting at the two-flavour chiral crossover
• Infrared QCD
• Nucleon form factors from a covariant quark core: limits in their description
• Application of the light-front coupled-cluster method to ${\varphi }^4$ theory in two dimensions
• 3-loop 3PI effective action for 3D SU(3) QCD
• Lattice Landau gauge with stochastic quantisation
• The vacuum nature of the QCD condensates
• Running coupling in the conformal window of large-Nf QCD
• RG flow equations for the proper-vertices of the background effective average action
• Instantaneous Interquark Potential in Generalized Landau Gauge in SU(3) Lattice QCD: A Linkage between the Landau and the Coulomb Gauges
• Linear Covariant Gauges on the Lattice
• On the self-consistency of off-shell Slavnov-Taylor identities in QCD
• Gribov-Zwanziger action in SU(2) Maximally Abelian Gauge with U(1)${}_3$ Landau Gauge
• More on the properties of the first Gribov region in Landau gauge
• Models of $J/\Psi$ photo-production reactions on the nucleon
• Gluon Propagators in 3D SU(2) Theory and Effects of Gribov Copies
• Bethe-Salpeter Equations from the 4PI effective action
• Ghost condensates in Yang-Mills theories in the Landau gauge
• Ghost condensation on the lattice
• Infinite volume and continuum limits for gluon propagator in 3d SU(2) lattice gauge theory
• On the $\pi$ and $K$ as $q\bar{q}$ Bound States and Approximate Nambu-Goldstone Bosons
• Instantaneous interquark potential in generalized Landau gauge in SU(3) lattice QCD: a possible gauge for the quark potential model
• A Note on Transverse Axial Vector and Vector Anomalies in U(1) Gauge Theories
• Towards a Pion Generalized Parton Distribution Model from Dyson-Schwinger Equations
• Dyson-Schwinger equation constraints on the gluon propagator in BRST quantised QCD
• Covariant variational approach to Yang-Mills Theory: effective potential of the Polyakov loop
• Theory introduction to baryon spectroscopy
• New Approach to Parton Shower MC's for Precision QCD Theory: HERWIRI1.0(31)
• HERWIRI1.0: MC Realization of IR-Improved DGLAP-CS Parton Showers
• Ghost Condensates and Dynamical Breaking of SL(2,R) in Yang-Mills in the Maximal Abelian Gauge
• Two-point functions of quenched lattice QCD in Numerical Stochastic Perturbation Theory. (II) The gluon propagator in Landau gauge
• An approach to calculation of mass spectra and two-photon decays of $c\overline{c}$ mesons in the framework of Bethe-Salpeter Equation
• Chemical Potential Dependence of Chiral Quark Condensate in Dyson-Schwinger Equation Approach of QCD
• Relativistic Three-Quark Bound States in Separable Two-Quark Approximation
• The ghost-gluon vertex in Hamiltonian Yang-Mills theory in Coulomb gauge
• BRST invariant RG flows
• Infrared massive gluon propagator from a BRST-invariant Gribov horizon in a family of covariant gauges
• Dyson-Schwinger Equations: An Instrument for Hadron Physics
• Glueballs, Hybrids, Pentaquarks : Introduction to Hadron Spectroscopy and Review of Selected Topics
• Dynamical Mass Generation in Landau gauge QCD
• Charge-conjugation symmetric complete impulse approximation for the pion electromagnetic form factor in the Covariant Spectator Theory
• Two-photon decay of a light scalar quark-antiquark state
• Quark mass function from a one-gluon-exchange-type interaction in Minkowski space
• Rotating hybrid stars with the Dyson-Schwinger quark model
• Physical unitarity for a massive Yang-Mills theory without the Higgs field: (I) A perturbative treatment
• Differential Dyson-Schwinger equations for quantum chromodynamics
• Enumerating Copies in the First Gribov Region on the Lattice in up to four Dimensions
• The origin of the first and third generation fermion masses in a technicolor scenario
• Testing the OPE Wilson coefficient for $A^2$ from lattice QCD with a dynamical charm
• Faddeev-Popov Matrix in Linear Covariant Gauge: First Results
• Pseudoscalar Meson Nonet at Zero and Finite Temperature
• Dimension two condensates in the Gribov-Zwanziger theory in the Coulomb gauge
• Novel sum rules for the three-point sector of QCD
• The effects of a family non-universal Z-prime boson on B--->pipi decays
• QCD and the eta prime Mass: Instantons or Confinement?
• Progress in the calculation of nucleon transition form factors
• Combining infrared and low-temperature asymptotes in Yang-Mills theories
• Solving the Bethe-Salpeter Equation in Minkowski Space for a Fermion-Scalar system
• PNJL model at zero temperature: three-flavor case
• Fluctuations of order parameter in an $SU(N_c)$ effective model
• Gluon dynamics from an ordinary differential equation
• Chiral symmetry restoration at finite temperature within the Hamiltonian approach to QCD in Coulomb gauge
• Light dark matter candidates in intense laser pulses I: paraphotons and fermionic minicharged particles
• Thermodynamical phases in a PNJL model at zero temperature
• Variational Worldline Approximation for the Relativistic Two-Body Bound State in a Scalar Model
• Delta properties in the rainbow-ladder truncation of Dyson-Schwinger equations
• The Gribov-Zwanziger action in the presence of the gauge invariant, nonlocal mass operator $Tr\int d^{4}x{F}_{\mu \nu }(D^2{)}^{-1}{F}_{\mu \nu }$ in the Landau gauge
• Gluon mass scale through the Schwinger mechanism
• Gauge Invariant Description of the $SU(2)$ Higgs model: Ward identities and Renormalization
• Thermodynamics of an exactly solvable confining quark model
• Insights into the quark-gluon vertex from lattice QCD and meson spectroscopy
• Propagator of the lattice domain wall fermion and the staggered fermion
• Truncating first-order Dyson-Schwinger equations in Coulomb-Gauge Yang-Mills theory
• Bottomonium spectroscopy motivated by general features of pNRQCD
• Probing the singularities of the Landau-gauge gluon and ghost propagators with rational approximants
• On the dynamical mass generation in confining Yang-Mills theories
• Spectral dimension as a tool for analyzing non-perturbative propagators
• Role of a four-quark and a glueball state in pion-pion and pion-nucleon scattering
• Non-radial oscillations and gravitational wave emission of hybrid neutron stars
• A non-perturbative mechanism for elementary particle mass generation
• Theory and Phenomenology of Hadrons
• Landau-Khalatnikov-Fradkin Transformations, Nielsen Identities, Their Equivalence and Implications for QCD
• One-loop unquenched three-gluon and ghost-gluon vertex in the Curci-Ferrari model
• Transverse structure of the proton beyond leading twist: A light-front Hamiltonian approach
• Searching for minicharged particles via birefringence, dichroism and Raman spectroscopy of the vacuum polarized by a high-intensity laser wave
• Bound states in Functional Renormalization Group
• Effective chiral lagrangian in the chiral limit from the instanton vacuum
• Boost-invariant Hamiltonian approach to heavy quarkonia
• Reconstructing the graviton
• eta and eta' in a coupled Schwinger-Dyson and Bethe-Salpeter approach. II. The gamma^* gamma transition form factors
• Goldstone Boson's Valence-Quark Distribution
• Attractive Casimir effect in an infrared modified gluon bag model
• Four-gluon vertex from the Curci-Ferrari model at one-loop order
• Dyson-Schwinger approach to strongly coupled theories
• The analytic structure of the Landau gauge quark propagator from Padé analysis
• Dyson--Schwinger approach to Hamiltonian Quantum Chromodynamics
• Strength of the Trilinear Higgs Boson Coupling in Technicolor Models
• Unraveling the organization of the QCD tapestry
• Ordinary and exotic mesons in the extended Linear Sigma Model
• Covariant QCD Modeling of Light Meson Physics
• Physical spectrum from confined excitations in a Yang-Mills-inspired toy model
• Asymptotically conformal CFL quark matter within a nonlocal chiral quark model
• Large Strong Phases and CP Violation in the Annihilation Processes ${\bar{B}}^0\to K^{+}{K}^{-}$, $K^{\ast \pm }{K}^{\mp }$, $K^{\ast +}{K}^{\ast -}$
• Interpolating among the Landau, Coulomb and maximal Abelian gauges
• Ground state mass spectrum for scalar diquarks with Bethe-Salpeter equation
• Chiral Condensate and Spectral Density at full five-loop and partial six-loop orders of Renormalization Group Optimized Perturbation
• On the complex structure of Yang-Mills theory
• Covariant variational approach to Yang-Mills Theory: Thermodynamics
• Radiative decays of heavy-light quarkonia through $M1$, and $E1$ transitions in the framework of Bethe-Salpeter equation
• Temperature Dependence of the Effective Bag Constant and the Radius of a Nucleon in the Global Color Symmetry Model of QCD
• On the Landau-gauge adjoint quark propagator
• Strongly-Coupled Unquenched QED4 Propagators Using Schwinger-Dyson Equations
• Towards background field independence within the Gribov horizon
• Diquark bound states with a completely crossed ladder truncation
• The ice-limit of Coulomb gauge Yang-Mills theory
• Mass spectra and decay constants of heavy-light axial quarkonia in the framework of Bethe-Salpeter equation
• QCD, Gauge Fixing, and the Gribov Problem
• Solving the Ghost-Gluon System of Yang-Mills Theory on GPUs
• Landau gauge Jacobian and BRST symmetry
• On the gauge boson's properties in a candidate technicolor theory
• Recent progress in hard-thermal-loop QCD thermodynamics and collective excitations
• Chiral and deconfinement phase transition in the Hamiltonian approach to QCD in Coulomb gauge
• Variational and Dyson--Schwinger Equations of Hamiltonian Quantum Chromodynamics
• $E1$ and M1 radiative transitions involving heavy-light axial, pseudoscalar and vector quarkonia in the framework of Bethe-Salpeter equation
• Pseudoscalar qqbar mesons and effective QCD coupling enhanced by <A^2> condensate
• Upper Limits on a Possible Gluon Mass
• Kugo-Ojima confinement and QCD Green's functions in covariant gauges
• A nonperturbative construction of massive Yang-Mills fields without Higgs fields
• Resurgent transseries $\&$ Dyson-Schwinger equations
• Stability of chromomagnetic condensation and mass generation for confinement in SU(2) Yang-Mills theory
• Perturbative aspects of the deconfinement transition -- Physics beyond the Faddeev-Popov model
• Temperature Dependence of the Axion Mass in a Scenario Where the Restoration of Chiral Symmetry Drives the Restoration of the $U_A(1)$ Symmetry
• Dynamical Chiral Symmetry Breaking in Quantum Chromo Dynamics: Delicate and Intricate
• Vacuum Condensates of Dimension Two in Pure Euclidean Yang-Mills
• Deep reinforcement learning for complex evaluation of one-loop diagrams in quantum field theory
• Manifestation of Confinement in the Gluon propagator
• Vacuum Energy Density in the Quantum Yang - Mills Theory
• New insight on the quark condensate beyond chiral limit
• Meson spectroscopy and properties using Dyson-Schwinger equations
• QCD phase transition and equation of state of stellar strong interaction matter via Dyson-Schwinger equation approach
• Confined gluon from Minkowski space continuation of PT-BFM SDE solution
• Exact-propagator instantaneous Bethe-Salpeter equation for quark-antiquark bound states
• Gluon and Ghost Dynamics from Lattice QCD
• A stochastic root finding approach: The Homotopy Analysis Method applied to Dyson-Schwinger Equations
• Timelike form factor for the anomalous process ${\gamma }^{\ast }\pi \to \pi \pi$
• Uncovering the Scaling Laws of Hard Exclusive Hadronic Processes in a Comprehensive Endpoint Model
• Dynamical generation of the mass gap in QCD
• QCD Green functions in a gluon field
• Aspects of quark mass generation on a torus
• Theoretical study of the dynamic structure factor of superfluid 4He
• Infrared Exponents and the Running Coupling of Landau gauge QCD and their Relation to Confinement
• Exploratory study of the temperature dependence of magnetic vertices in SU(2) Landau gauge Yang--Mills theory
• A novel probe of the vacuum of the lattice gluodynamics
• Extending the truncated Dyson-Schwinger equation to finite temperatures
• The quenched SU(2) fundamental scalar propagator in minimal Landau gauge
• The Dirac Form Factor Predicts the Pauli Form Factor in the Endpoint Model
• Avoiding the Landau-pole in perturbative QCD
• 1/Nc expansion and the spin-flavor structure of the quark interaction in the constituent quark model
• What the Infrared Behaviour of QCD Vertex Functions in Landau gauge can tell us about Confinement
• Super-Strong Coupling NJL model in arbitrary space-time dimensions
• Meson Form Factors and Non-Perturbative Gluon Propagators
• Numerical indication that center vortices drive dynamical mass generation in QCD
• First Order Chiral Phase Transition from a Six-fermion ''Instanton''-Interaction
• A comprehensive approach to the physics of mesons
• Polyakov loop, gluon mass, gluon condensate and its asymmetry near deconfinement
• Dynamical Symmetry Breaking in Chiral Gauge Theories with Direct-Product Gauge Groups
• The Lee model: a tool to study decays
• Center phase transition from matter propagators in (scalar) QCD
• BFKL pomeron with massive gluons and running coupling
• Schwinger-Dyson truncations in the all-soft limit: a case study
• A correspondence between the free and interacting field theories
• Looking at QED with Dyson-Schwinger equations: basic equations, Ward-Takahashi identities and the two-photon-two-fermion irreducible vertex
• Worldline Variational Approximation: A New Approach to the Relativistic Binding Problem
• QCD propagators and vertices from lattice QCD (in memory of Michael Müller-Preußker)
• Center flux correlation in SU(2) Yang-Mills theory
• $\eta$ and ${\eta }^{\prime }$ mesons in the Dyson-Schwinger approach using a generalization of the Witten-Veneziano relation
• Canonical Flow in the Space of Gauge Parameters
• A kinetic approach to eta' production from a CP-odd phase
• Schwinger - Dyson equation and NJL approximation in massive gauge theory with fermions
• Spectral density in resonance region and analytic confinement
• Pseudo-scalar {\boldm $q\bar{q}$} bound states at finite temperatures within a Dyson-Schwinger--Bethe-Salpeter approach
• Non-leptonic annihilation decays of B mesons with a natural infrared cutoff
• On the low-energy spectrum of an SU(2) gauge theory with dynamical fermions
• Calculation of bulk viscosity of QCD at zero temperature and finite chemical potential
• Infrared scaling solutions beyond the Landau gauge: The maximally Abelian gauge and Abelian infrared dominance
• Taming numerical imprecision by adapting the KL divergence to negative probabilities
• Perturbative gauge theory in a background
• Confinement and Green functions in Landau-gauge QCD
• Non-perturbative Analysis of Various Mass Generation by Gluonic Dressing Effect with the Schwinger-Dyson Formalism in QCD
• Spectroscopic evidence for engineered hadron formation in repulsive fermionic $\text{SU}(N)$ Hubbard Models
• The Calculation of $f_{\pi }$ and $m_{\pi }$ at Finite Chemical Potential
• Schwinger-Dyson equations in large-N quantum field theories and nonlinear random processes
• Study of a gauge invariant local composite fermionic field
• Dynamical Mass Generations and Collective Excitations in the (Supersymmetric-)Nambu$-$Jona-Lasinio Model and a Gauge Theory with Left-Right-Asymmetric Majorana Mass Terms
• The color gauge invariance and a possible origin of a mass gap in QCD
• Confinement & Chiral Symmetry Breaking: The fundamental problems of hadron physics
• Solution of coupled vertex and propagator Dyson-Schwinger equations in the scalar Munczek-Nemirovsky model
• Propagators and topology
• Axial anomaly and the interplay of quark loops with pseudoscalar and vector mesons in the gamma* --> pi+ pi0 pi- process
• Diquark properties and their role in hadrons
• Asymptotic Infrared Fractal Structure of the Propagator for a Charged Fermion
• A Universal Constraint on the Infrared Behavior of the Ghost Propagator in QCD
• Semiperturbative construction for the quark-gluon vertex
• Studying unquenching effects in QCD with Dyson-Schwinger equations
• Hints of (de)confinement in Yang-Mills-Chern-Simons theories in the maximal Abelian gauge
• Structure and decay constant of the ρmeson with Bethe-Salpeter equation
• Quark confinement in an equiparticle quark model: application to stellar matter
• The Equal-Time Quark Propagator in Coulomb Gauge
• Gauge-fixing on the Lattice via Orbifolding
• The quenched SU(2) adjoint scalar propagator in minimal Landau gauge
• Heavy-heavy and heavy-light mesons in cold nuclear matter
• Nucleon Structure from Basis Light-Front Quantization : Status and Prospects
• Hadronic contribution to the muon g-2: a Dyson-Schwinger perspective
• Strange Matter
• Screening masses in quenched (2+1)d Yang-Mills theory: universality from dynamics?
• Lorentz symmetry breaking in a Yang-Mills theory within the Gribov restriction
• Quark Schwinger-Dyson equation in temporal Euclidean space
• QCD Approach to B->D πDecays and CP Violation
• Dynamical symmetry breaking in Georgi-Glashow chiral-gauge theories
• The hybrid meson: new results from the updated mg and alpha_s parameters
• On the connection between Hamilton and Lagrange formalism in Quantum Field Theory
• Reply to comment on "Two-photon decay of the sigma meson"
• Non-Abelian extension of the aether term and the Gribov problem
• Mass-dependence of pseudocritical temperature in mean field approximation
• A window on infrared QCD with small expansion parameters
• Large time effective kinetics $\beta$-functions for quantum (2+p)-spin glass
• Gluon bound state and asymptotic freedom derived from the Bethe--Salpeter equation
• Exploring the Tan contact term in Yang-Mills theory
• The baryon mass calculation in the chiral soliton model at finite temperature and density
• Elastic scattering and the proton form factor
• Chemical Freeze-out Parameters via a Non-perturbative QCD Approach
• Schwinger-Dyson equations and disorder
• Vortex induced confinement and the Kugo-Ojima confinement criterion
• From negative to positive cosmological constant through decreasing temperature of the Universe: connection with string theory and spacetime foliation results
• Gauge engineering and propagators
• The quenched SU(2) scalar-gluon vertex in minimal Landau gauge
• Studying the baryon properties through chiral soliton model at finite temperature and denstity
• Padé Approximants and the analytic structure of the gluon and ghost propagators
• Two-dimensional gluon propagators in maximally Abelian gauge in SU(2) Lattice QCD
• An all order renormalizable Refined-Gribov-Zwanziger model with BRST invariant fermionic horizon function in linear covariant gauges
• Chiral Symmetry Breaking and confinement in Minkowski space QED2+1
• Infrared propagators of Yang-Mills-Chern-Simons theories in linear covariant gauges
• A machine learning pipeline for autonomous numerical analytic continuation of Dyson-Schwinger equations
• Causality, unitarity and stability in quantum gravity: a non-perturbative perspective
• The chiral limit of a fermion-scalar $(1/2{)}^{+}$ system in covariant gauges
• The gap equations of background field invariant Refined Gribov-Zwanziger action proposals and the deconfinement transition
• Quark Propagator with electroweak interactions in the Dyson-Schwinger approach
• Diagrammatic Monte-Carlo for weak-coupling expansion of non-Abelian lattice field theories: large-N U(N)xU(N) principal chiral model
• Quark sector of Coulomb gauge Quantum Chromodynamics
• Towards a unified viewpoint of Gribov--Zwanziger and Serreau--Tissier gauge fixing
• Probing Quarkonium Diffusion in a Magnetized Quark-Gluon Plasma
• Quark mass functions and pion structure in the Covariant Spectator Theory
• Electromagnetic transition form factors of baryons in a relativistic Faddeev approach
• Full and unbiased solution of the Dyson-Schwinger equation in the functional integro-differential representation
• QCD Down Under: Building Bridges
• The production of charged-kaon pairs in proton-antiproton collisions: The role of higher-twist mechanism
• 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
• Gluon and ghost propagators from the viewpoint of general principles of quantized gauge field theories
• Mesons: Relativistic Bound States with String Tension
• Quark Propagator and Chiral Symmetry with String Tension
• Pion observables calculated in Minkowski and Euclidean spaces with Ansätze for quark propagators
• Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis
• Patterns of gauge symmetry in the background field method
• Gauge fixing and BRST formalism in non-Abelian gauge theories
• Generating the Electro-Weak Scale by Vector-like Quark Condensation
• Partial wave analysis for the in-hadron condensate
• Determination of the numerical value for the strong coupling constant from tau decays in perturbative QCD
• The effective potential of the Polyakov loop in the Hamiltonian approach to QCD
• Gribov Propagator and Symmetry Breaking
• Studying pion effects in the quark propagator
• Influence of broken flavor and C and P symmetry on the quark propagator
• Chiral-symmetry breaking and confinement in Minkowski space
• Gauge invariant formulation of 3$\gamma$ decay of particle-antiparticle bound states
• The pomeron conjecture and two gluon glueballs
• Nonlocal Condensate Model for QCD Sum Rules
• Gauge invariant bound state equations for quark-antiquark systems in QCD
• An innovative approach for sketching the QCD phase diagram within the NJL model using Lagrange Multipliers
• Mean-field approximation for the chiral soliton in a chiral phase transition
• QCD Green's Functions and Phases of Strongly-Interacting Matter
• Phenomenological Schwinger-Dyson approach to eta-eta' mass matrix
• The Gribov problem and its solution from a toy model point of view
• Oscillators with imaginary coupling: spectral functions in quantum mechanics and quantum field theory
• Dyson-Schwinger equations and $\mathcal{N}=4$ SYM in Landau gauge
• Local renormalizable gauge theories from nonlocal operators
• The Tensor Current Divergence Equation in U(1) Gauge Theories is Free of Anomalies
• Lower dimensional Yang-Mills theory as a laboratory to study the infrared regime
• Constraints from the GW170817 merger event on the nuclear matter equation of state
• Two-flavor hybrid stars with the Dyson-Schwinger quark model
• Non-perturbative aspects of Yang-Mills theories
• On the contribution of different coupling constants in the infrared regime of Yang-Mills theory: a Curci-Ferrari approach
• Gauge invariant spectral analysis of quark hadronization dynamics
• Parametrizations of Quark Confinement in Production Processes
• Physics-informed neural networks viewpoint for solving the Dyson-Schwinger equations of quantum electrodynamics
• Gluon propagator in diffractive scattering
• Some Analytical Aspects in Field Theories with Dynamical Mass Generation
• Dyson-Schwinger Equations with a Parameterized Metric
• Quarkonia and heavy-light mesons in a covariant quark model
• Color-magnetic correlations in SU(2) and SU(3) lattice QCD
• Study of the nonlocal gauge invariant mass operator $\mathrm{Tr}\int d^{4}x{F}_{\mu \nu }(D^2{)}^{-1}{F}_{\mu \nu }$ in the maximal Abelian gauge
• Quark model with chiral-symmetry breaking and confinement in the Covariant Spectator Theory
• Detection of monopoles and vortices in SU(2) Yang-Mills theory
• Mean-field theory for self-interacting relativistic Luttinger fermions
• Non-perturbative study of QCD correlators
• Motivations for AdS/QCD from 10D supergravity solutions
• Hamiltonian approach to QCD in Coulomb gauge at zero and finite temperature
• Correlations of center flux in SU(2) Yang-Mills theory
• Bypassing the axial anomalies
• Regimes of $3D$ Yang--Mills theory in the presence of a constant vector background
• On meson masses
• Confinement encoded in Landau gauge gluon and ghost propagators
• Gauge-fixed Lattice QCD and the dispersion relation of Wilson fermions
• On the Consistency of the Ladder Approximation and the Rainbow Approximation of Dyson-Schwinger Equation of QCD
• Reconstructing propagators of confined particles in the presence of complex singularities
• Analysis of mass difference of the $\pi$ and $\rho$ with Bethe-Salpeter equation
• Gauge-invariant approach to quark dynamics
• Dynamically induced scalar quark confinement: A link between chiral symmetry breaking and confinement
• On the role of dynamical quark mass generation in chiral symmetry breaking in QCD
• Are neutrino masses dynamically generated by quantum gravity attractions?
• Quark propagator in a covariant gauge
• Non-perturbative BRST symmetry and the spectral structure of the ghost propagator
• NSPT study of the three-loop lattice gluon propagator in Landau gauge
• Higher-twist mechanism and inclusive gluon production in pion-proton collisions
• Excited light baryons from quark-gluon-level calculations
• The inclusive production of charged pion pairs in proton-antiproton collisions
• Two-point gauge invariant quark Green's functions with polygonal phase factor lines
• A dynamical mechanism for quark confinement
• Infrared behavior of QCD from the Dyson-Schwinger formalism