New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach

Abstract

So far, the infrared behavior of the gluon and ghost propagator based on the Gribov-Zwanziger approach predicted a positivity violating gluon propagator vanishing at zero momentum, and an infrared enhanced ghost propagator. However, recent data based on huge lattices have revealed a positivity violating gluon propagator which turns out to attain a finite nonvanishing value very close to zero momentum. At the same time the ghost propagator does not seem to be infrared enhanced anymore. We point out that these new features can be accounted for by yet unexploited dynamical effects within the Gribov-Zwanziger approach, leading to an infrared behavior in qualitatively good agreement with the new data.

arXiv comment4 pages, 1 .eps figure. Package braket.sty included

References in corpus (6)

• Non-perturbative Landau gauge and infrared critical exponents in QCD
• Analytic properties of the Landau gauge gluon and quark propagators
• Infrared behaviour and fixed points in Landau gauge QCD
• A dynamical gluon mass solution in a coupled system of the Schwinger-Dyson equations
• The Gribov parameter and the dimension two gluon condensate in Euclidean Yang-Mills theories in the Landau gauge
• Influence of a dynamical gluon mass in the $pp$ and $\bar{p}p$ forward scattering

Cited by in corpus (189)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• On the infrared behavior of Landau gauge Yang-Mills theory
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• The QCD Running Coupling
• Landau gauge Yang-Mills correlation functions
• Constraints on the IR behavior of the ghost propagator in Yang-Mills theories
• The Infrared Behaviour of the Pure Yang-Mills Green Functions
• Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge
• Landau-gauge propagators in Yang-Mills theories at beta = 0: massive solution versus conformal scaling
• IR finiteness of the ghost dressing function from numerical resolution of the ghost SD equation
• Chiral symmetry breaking with lattice propagators
• On the zero crossing of the three-gluon vertex
• An exact nilpotent non-perturbative BRST symmetry for the Gribov-Zwanziger action in the linear covariant gauge
• Locating the Gribov horizon
• Gribov no-pole condition, Zwanziger horizon function, Kugo-Ojima confinement criterion, boundary conditions, BRST breaking and all that
• More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
• On the massive gluon propagator, the PT-BFM scheme and the low-momentum behaviour of decoupling and scaling DSE solutions
• Glueball masses from an infrared moment problem and nonperturbative Landau gauge
• On the Quark-Gluon Vertex and Quark-Ghost Kernel: combining Lattice Simulations with Dyson-Schwinger equations
• Soft breaking of BRST invariance for introducing non-perturbative infrared effects in a local and renormalizable way
• A Dyson-Schwinger study of the four-gluon vertex
• The Landau gauge gluon and ghost propagator in the refined Gribov-Zwanziger framework in 3 dimensions
• Refining the detection of the zero crossing for the symmetric and asymmetric three-gluon vertices
• Gribov horizon and BRST symmetry: a few remarks
• Lattice evidence for the family of decoupling solutions of Landau gauge Yang-Mills theory
• A local and BRST-invariant Yang-Mills theory within the Gribov horizon
• Discretization effects on renormalized gauge-field Green's functions, scale setting and gluon mass
• Gribov horizon and i-particles: about a toy model and the construction of physical operators
• High Precision Statistical Landau Gauge Lattice Gluon Propagator Computation vs. the Gribov-Zwanziger approach
• QCD Running Couplings and Effective Charges
• Analytic structure of QCD propagators in Minkowski space
• Infrared behavior and Gribov ambiguity in SU(2) lattice gauge theory
• Nontrivial ghost-gluon vertex and the match of RGZ, DSE and lattice Yang-Mills propagators
• Exciting flavored bound states
• Quark-gluon Vertex: A Perturbation Theory Primer and Beyond
• The Gribov horizon and spontaneous BRST symmetry breaking
• More on the non-perturbative Gribov-Zwanziger quantization of linear covariant gauges
• An all-order proof of the equivalence between Gribov's no-pole and Zwanziger's horizon conditions
• A remark on the BRST symmetry in the Gribov-Zwanziger theory
• Non-perturbative aspects of Euclidean Yang-Mills theories in linear covariant gauges: Nielsen identities and a BRST invariant two-point correlation function
• Positivity violations in QCD
• A covariant variational approach to Yang-Mills Theory
• The low-momentum ghost dressing function and the gluon mass
• Alternative refined Gribov-Zwanziger Lagrangian
• Strong-coupling study of the Gribov ambiguity in lattice Landau gauge
• The generalised infrared structure of the gluon propagator
• Volume behaviour of quark condensate, pion mass and decay constant from Dyson-Schwinger equations
• On the leading OPE corrections to the ghost-gluon vertex and the Taylor theorem
• Unified description of seagull cancellations and infrared finiteness of gluon propagators
• Gluon confinement, i-particles and BRST soft breaking
• On the analytic structure of scalar glueball operators at Born level
• Polyakov loop and QCD thermodynamics from the gluon and ghost propagators
• Nearly perturbative lattice-motivated QCD coupling with zero IR limit
• The gluon and ghost propagators in Euclidean Yang-Mills theory in the maximal Abelian gauge: taking into account the effects of the Gribov copies and of the dimension two condensates
• Properties of the Faddeev-Popov operator in the Landau gauge, matter confinement and soft BRST breaking
• Renormalizability of the Refined Gribov-Zwanziger action in the linear covariant gauges
• Decontracted double BRST on the lattice
• The analytic structure of the lattice Landau gauge gluon and ghost propagators
• Infrared analysis of Dyson-Schwinger equations taking into account the Gribov horizon in Landau gauge
• Kugo-Ojima color confinement criterion and Gribov-Zwanziger horizon condition
• The effects of Gribov copies in 2D gauge theories
• Generalized Hedgehog ansatz and Gribov copies in regions with non trivial topologies
• A local and renormalizable framework for the gauge-invariant operator $A_{\min }^2$ in Euclidean Yang-Mills theories in linear covariant gauges
• A covariant variational approach to Yang-Mills Theory at finite temperatures
• Renormalizability of a quark-gluon model with soft BRST breaking in the infrared region
• On the infrared scaling solution of SU(N) Yang-Mills theories in the maximally Abelian gauge
• Study of the properties of the Gribov region in SU(N) Euclidean Yang-Mills theories in the maximal Abelian gauge
• More on the renormalization of the horizon function of the Gribov-Zwanziger action and the Kugo-Ojima Green function(s)
• Gluon condensates in a cold quark gluon plasma
• SU(2) lattice gluon propagators at finite temperatures in the deep infrared region and Gribov copy effects
• Infrared exponents and the strong-coupling limit in lattice Landau gauge
• Study of the Gribov region in Euclidean Yang-Mills theories in the maximal Abelian gauge
• Casimir energy in the Gribov-Zwanziger approach to QCD
• Renormalon-motivated evaluation of QCD observables
• Semiclassical analysis of the phases of 4d SU(2) Higgs gauge systems with cutoff at the Gribov horizon
• On the Infrared Behavior of Landau Gauge Yang-Mills Theory with a Fundamentally Charged Scalar Field
• The ghost-gluon vertex in the presence of the Gribov horizon
• Some exact properties of the gluon propagator
• Non-perturbative treatment of the linear covariant gauges by taking into account the Gribov copies
• Padé approximation and glueball mass estimates in 3d and 4d with N_c = 2,3 colors
• The universal character of Zwanziger's horizon function in Euclidean Yang-Mills theories
• Comment on "Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure $SU(3)$ Yang-Mills Theory: Finite Lattice Spacing and Volume Effects"
• Hamiltonian Approach to 1+1 dimensional Yang-Mills theory in Coulomb gauge
• Gluon Propagator in Fractional Analytic Perturbation Theory
• The (IR-)relevance of the Gribov ambiguity in SU(2) x U(1) gauge theories with fundamental Higgs matter
• Gribov horizon and non-perturbative BRST symmetry in the maximal Abelian gauge
• The one loop MSbar static potential in the Gribov-Zwanziger Lagrangian
• Renormalizability of the linearly broken formulation of the BRST symmetry in presence of the Gribov horizon in Landau gauge Euclidean Yang-Mills theories
• Gribov ambiguity and degenerate systems
• Two infrared Yang-Mills solutions in stochastic quantization and in an effective action formalism
• Effect of the Quark-Gluon Vertex on Dynamical Chiral Symmetry Breaking
• Gribov pendulum in the Coulomb gauge on curved spaces
• Variational study of mass generation and deconfinement in Yang-Mills theory
• Implementing the Gribov-Zwanziger framework in N=1 Super Yang-Mills in the Landau gauge
• On the reanimation of a local BRST invariance in the (Refined) Gribov-Zwanziger formalism
• Lattice-motivated holomorphic nearly perturbative QCD
• Gribov gap equation at finite temperature
• Quasigluon lifetime and confinement from first principles
• A non-perturbative study of matter field propagators in Euclidean Yang-Mills theory in linear covariant, Curci-Ferrari and maximal Abelian gauges
• On bounds and boundary conditions in the continuum Landau gauge
• Gribov ambiguity in asymptotically AdS three-dimensional gravity
• The BRST-invariant vacuum state of the Gribov-Zwanziger theory
• Equivalence between Zwanziger's horizon function and Gribov's no-pole ghost form factor
• Calculation of the non-perturbative strong coupling from first principles
• A renormalization group invariant scalar glueball operator in the (Refined) Gribov-Zwanziger framework
• Lattice Landau gauge with stochastic quantisation
• Vacuum polarization corrections to low energy quark effective couplings
• Linear Covariant Gauges on the Lattice
• A few remarks on the zero modes of the Faddeev-Popov operator in the Landau and maximal Abelian gauges
• Gluon Propagators in 3D SU(2) Theory and Effects of Gribov Copies
• Three-gluon running coupling from lattice QCD at $N_f=2+1+1$: a consistency check of the OPE approach
• Gribov-Zwanziger action in SU(2) Maximally Abelian Gauge with U(1)${}_3$ Landau Gauge
• Accessing the topological susceptibility via the Gribov horizon
• One-loop RG improvement of the screened massive expansion in the Landau gauge
• Infinite volume and continuum limits for gluon propagator in 3d SU(2) lattice gauge theory
• Study of Yang-Mills-Chern-Simons theory in presence of the Gribov horizon
• Infrared massive gluon propagator from a BRST-invariant Gribov horizon in a family of covariant gauges
• BRST invariant RG flows
• The Gribov problem in Noncommutative QED
• Non-perturbative BRST quantization of Euclidean Yang-Mills theories in Curci-Ferrari gauges
• Dispersion relations for unphysical particles
• Combining infrared and low-temperature asymptotes in Yang-Mills theories
• Dimension two condensates in the Gribov-Zwanziger theory in the Coulomb gauge
• On a renormalizable class of gauge fixings for the gauge invariant operator $A_{\min }^2$
• Fluctuations of order parameter in an $SU(N_c)$ effective model
• The nilpotent "BRST" symmetry for the Gribov-Zwanziger theory
• Loop calculations in the three dimensional Gribov-Zwanziger Lagrangian
• Thermodynamics of an exactly solvable confining quark model
• $H(4)$ tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts
• Remarks on the effects of the Gribov copies on the infrared behavior of higher dimensional Yang-Mills theory
• Comments on the compatibility of thermodynamic equilibrium conditions with lattice propagators
• Amplitude prescriptions in field theories with complex poles
• The analytic structure of the Landau gauge quark propagator from Padé analysis
• Dark energy and dimensional transmutation in $R^2$ gravity
• Spontaneous breaking of the BRST symmetry in presence of the Gribov horizon: renormalizability
• Dyson-Schwinger approach to strongly coupled theories
• Power corrections to symmetric point vertices in Gribov-Zwanziger theory
• Physical spectrum from confined excitations in a Yang-Mills-inspired toy model
• A study of the lightest glueball states in SU(2) Euclidean Yang-Mills theory in the maximal Abelian gauge
• Two loop MSbar Gribov mass gap equation with massive quarks
• Towards background field independence within the Gribov horizon
• Lattice Gluon Propagator in the Landau Gauge: A Study Using Anisotropic Lattices
• Small parameters in infrared QCD: The pion decay constant
• Refined Gribov-Zwanziger theory coupled to scalar fields in the Landau gauge
• The ice-limit of Coulomb gauge Yang-Mills theory
• Gribov-Zwanziger confinement, high energy evolution and large impact parameter behaviour of the scattering amplitude
• A study of the zero modes of the Faddeev-Popov operator in Euclidean Yang-Mills theories in the Landau gauge in d=2,3,4 dimensions
• A purely algebraic construction of a gauge and renormalization group invariant scalar glueball operator
• On general ultraviolet properties of a class of confining propagators
• Renormalizability of $\mathcal{N}=1$ super Yang-Mills theory in Landau gauge with a Stueckelberg-like field
• Gribov copies and anomalous scaling
• Low momentum propagators at two loops in gluon mass model
• Exploring new horizons of the Gribov problem in Yang-Mills theories
• Gribov as a Phase Transition
• The Schwinger function, confinement and positivity violation in pure gauge QED
• Translation-Invariant Noncommutative Renormalization
• Study of the all orders multiplicative renormalizability of a local confining quark action in the Landau gauge
• Decoupling and scaling solutions in Yang-Mills theory with the Gribov horizon
• QCD propagators and vertices from lattice QCD (in memory of Michael Müller-Preußker)
• Study of a gauge invariant local composite fermionic field
• pQCD running couplings finite and monotonic in the infrared: when do they reflect the holomorphic properties of spacelike observables?
• QCD phase diagram from the gluon propagator at finite temperature and density
• Hints of (de)confinement in Yang-Mills-Chern-Simons theories in the maximal Abelian gauge
• Infrared scaling solutions beyond the Landau gauge: The maximally Abelian gauge and Abelian infrared dominance
• $R_{e^{+}{e}^{-}}$ and an effective QCD charge
• Quantization of Yang-Mills Theories without the Gribov Ambiguity
• Background Effective Action with Nonlinear Massive Gauge Fixing
• The Dark Side of the Propagators: exploring their analytic properties by a massive expansion
• Towards a unified viewpoint of Gribov--Zwanziger and Serreau--Tissier gauge fixing
• The gap equations of background field invariant Refined Gribov-Zwanziger action proposals and the deconfinement transition
• Infrared propagators of Yang-Mills-Chern-Simons theories in linear covariant gauges
• An all order renormalizable Refined-Gribov-Zwanziger model with BRST invariant fermionic horizon function in linear covariant gauges
• Two-dimensional gluon propagators in maximally Abelian gauge in SU(2) Lattice QCD
• Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis
• Quark sector of Coulomb gauge Quantum Chromodynamics
• Chern--Simons--Yang--Mills system in presence of Gribov horizon with fundamental Higgs matter
• On infrared problems of effective Lagrangians of massive spin 2 fields coupled to gauge fields
• A Numerical Approach to Coulomb Gauge QCD
• Oscillators with imaginary coupling: spectral functions in quantum mechanics and quantum field theory
• Color-octet nonrelativistic QCD matrix elements for heavy quarkonium decays in the refined Gribov-Zwanziger theory
• A gauge invariant infrared stabilization of 3D Yang-Mills gauge theories
• Landau confining replica model from an explicitly breaking of a SU(3) group without auxiliary fields
• High energy evolution for Gribov-Zwanziger confinement: solution to the equation
• Three loop effective potential for $⟨\frac{1}{2}{A_{\mu }^a}^2⟩$ in the Landau gauge in QCD
• On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects
• Screened massive expansion of the quark propagator in the Landau gauge
• Regimes of $3D$ Yang--Mills theory in the presence of a constant vector background
• Gribov horizon, Polyakov loop and finite temperature