$H(4)$ tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts

Abstract

The use of lattice tensor representations is explored to investigate the lattice Landau gauge gluon propagator for the pure SU(3) Yang-Mills gauge theory in 4D. The analysis of several tensor bases allows to quantify the completeness of the various tensor bases considered, the deviations of the lattice results from the continuum theory due to the lattice artefacts and estimate the theoretical uncertainty in the propagator. Furthermore, our analysis tests continuum based relations with the lattice data and show that the lattice Landau gauge gluon propagator is described by a unique form factor, as in the continuum formulation.

References in corpus (112)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• 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
• Analytic properties of the Landau gauge gluon and quark propagators
• Non-perturbative quark, gluon and meson correlators of unquenched QCD
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
• Infrared propagators of Yang-Mills theory from perturbation theory
• Running Coupling and the Lambda-Parameter from SU(3) Lattice Simulations
• Quark flavour effects on gluon and ghost propagators
• Modeling the Gluon Propagator in Landau Gauge: Lattice Estimates of Pole Masses and Dimension-Two Condensates
• Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge
• Analytic structure of the Landau gauge gluon propagator
• An Infrared Safe perturbative approach to Yang-Mills correlators
• The lattice Landau gauge gluon propagator: lattice spacing and volume dependence
• Asymptotic Scaling and Infrared Behavior of the Gluon Propagator
• Landau-gauge propagators in Yang-Mills theories at beta = 0: massive solution versus conformal scaling
• The dynamical origin of the refinement of the Gribov-Zwanziger theory
• Lifting the Gribov ambiguity in Yang-Mills theories
• Gluon mass generation in the PT-BFM scheme
• Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure SU(3) Yang-Mills Theory: Finite Lattice Spacing and Volume Effects
• Towards the infrared limit in SU(3) Landau gauge lattice gluodynamics
• Lattice Perturbation Theory
• Nonperturbative structure of the quark-gluon vertex
• Running Gluon Mass from Landau Gauge Lattice QCD Propagator
• Asymptotic behaviour of the gluon propagator from lattice QCD
• Consistent OPE Description of Gluon Two- and Three-point Green Function?
• Källén-Lehmann spectroscopy for (un)physical degrees of freedom
• Effective charge from lattice QCD
• Freezing of the QCD coupling constant and solutions of Schwinger-Dyson equations
• Gribov copies, Lattice QCD and the gluon propagator
• Problems in Lattice Gauge Fixing
• Asymptotic scaling of the gluon propagtor on the lattice
• 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
• Two-point correlation functions of QCD in the Landau gauge
• Correlation functions of Landau gauge Yang-Mills theory
• Unquenching the gluon propagator with Schwinger-Dyson equations
• The Landau gauge gluon and ghost propagator in the refined Gribov-Zwanziger framework in 3 dimensions
• Nonperturbative improvement and tree-level correction of the quark propagator
• Gluon propagator and three-gluon vertex with dynamical quarks
• Analytical study of Yang-Mills theory in the infrared from first principles
• Covariant gauge on the lattice: a new implementation
• The lattice gluon propagator in renormalizable $\xi$ gauges
• On the reduction of hypercubic lattice artifacts
• The infrared behavior of Landau gauge Yang-Mills theory in d=2, 3 and 4 dimensions
• Quark propagator in the Landau gauge
• Gluon mass generation without seagull divergences
• Discretization effects on renormalized gauge-field Green's functions, scale setting and gluon mass
• High Precision Statistical Landau Gauge Lattice Gluon Propagator Computation vs. the Gribov-Zwanziger approach
• How nonperturbative is the infrared regime of Landau gauge Yang-Mills correlators?
• On gluon and ghost propagators in linear covariant gauges
• Just how different are SU(2) and SU(3) Landau-gauge propagators in the IR regime?
• Analytic structure of QCD propagators in Minkowski space
• Quark propagator with two flavors of O(a)-improved Wilson fermions
• Quark-gluon vertex in general kinematics
• Two-loop study of the deconfinement transition in Yang-Mills theories: SU(3) and beyond
• Two loop calculation of Yang-Mills propagators in the Curci-Ferrari model
• Renormalization group analysis of the gluon mass equation
• Spectral representation of lattice gluon and ghost propagators at zero temperature
• Covariant gauges without Gribov ambiguities in Yang-Mills theories
• Positivity violations in QCD
• Small parameters in infrared quantum chromodynamics
• Schwinger mechanism in linear covariant gauges
• The gluon propagator in Feynman gauge by the method of stationary variance
• The generalised infrared structure of the gluon propagator
• On the infrared behaviour of Gluons and Ghosts in Ghost-Antighost symmetric gauges
• Unified description of seagull cancellations and infrared finiteness of gluon propagators
• Compact lattice formulation of Cho-Faddeev-Niemi decomposition: gluon mass generation and infrared Abelian dominance
• Quantum Yang-Mills field theory
• A low-energy effective Yang-Mills theory for quark and gluon confinement
• Landau gauge gluon and ghost propagators from lattice QCD with Nf=2 twisted mass fermions at finite temperature
• Gluon mass scale through nonlinearities and vertex interplay
• Non-perturbative Power Corrections to Ghost and Gluon Propagators
• The gluon propagator in linear covariant $R_{\xi }$ gauges
• The non-perturbative structure of the photon and gluon propagators
• Influence of Gribov ambiguities in a class of nonlinear covariant gauges
• Condition for confinement in non-Abelian gauge theories
• Probing the tensor structure of lattice three-gluon vertex in Landau gauge
• SU(3) Landau gauge gluon and ghost propagators using the logarithmic lattice gluon field definition
• Modeling the Landau-Gauge Ghost Propagator in 2, 3 and 4 Space-Time Dimensions
• Conditions on the violation of the cluster decomposition property in QCD
• Solving coupled Dyson--Schwinger equations on a compact manifold
• Comment on "Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure $SU(3)$ Yang-Mills Theory: Finite Lattice Spacing and Volume Effects"
• Constraints on the IR behaviour of gluon and ghost propagator from Ward-Slavnov-Taylor identities
• Gribov copies, avalanches and dynamic generation of a gluon mass
• Reflection positivity and complex analysis of the Yang-Mills theory from a viewpoint of gluon confinement
• A global optimization method for Landau gauge fixing in Lattice QCD
• Nonperturbative gluon and ghost propagators for d=3 Yang-Mills
• Dependence of the propagators on the sampling of Gribov copies inside the first Gribov region of Landau gauge
• The Minimal Landau Background Gauge on the Lattice
• Gluon Dynamics, Center Symmetry and the deconfinement phase transition in SU(3) pure Yang-Mills theory
• Calculation of the non-perturbative strong coupling from first principles
• Reply to "Comment on 'Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure SU(3) Yang-Mills Theory: Finite Lattice Spacing and Volume Effects' "
• Constraining the gauge-fixed Lagrangian in minimal Landau gauge
• More on the properties of the first Gribov region in Landau gauge
• Divergent IR gluon propagator from Ward-Slavnov-Taylor identities?
• Gluon Green functions free of Quantum fluctuations
• Dyson-Schwinger equation constraints on the gluon propagator in BRST quantised QCD
• Two-point functions of quenched lattice QCD in Numerical Stochastic Perturbation Theory. (II) The gluon propagator in Landau gauge
• Gauge-independent Brout-Englert-Higgs mechanism and Yang-Mills theory with a gauge-invariant gluon mass term
• Exploring dynamical gluon mass generation in three dimensions
• Symmetry restoration and the gluon mass in the Landau gauge
• Spectral dimension as a tool for analyzing non-perturbative propagators
• Kugo-Ojima confinement and QCD Green's functions in covariant gauges
• Bloch Waves in Minimal Landau Gauge and the Infinite-Volume Limit of Lattice Gauge Theory
• Gluon and Ghost Dynamics from Lattice QCD
• Yang-Mills Theory in lambda-Gauges
• Propagators and topology
• The Veneziano ghost, glost and gauge copies in QCD
• Tensor representations of lattice vertices from hypercubic symmetry

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