Infrared Gluon and Ghost Propagator Exponents From Lattice QCD

Abstract

The compatibility of the pure power law infrared solution of QCD and lattice data for the gluon and ghost propagators in Landau gauge is discussed. For the gluon propagator, the lattice data is well described by a pure power law with an infrared exponent $\kappa \sim 0.53$, in the Dyson-Schwinger notation. $\kappa$ is measured using a technique that suppresses finite volume effects. This value implies a vanishing zero momentum gluon propagator, in agreement with the Gribov-Zwanziger confinement scenario. For the ghost propagator, the lattice data seem not to follow a pure power law, at least for the range of momenta accessed in our simulation.

Substantial rewriting with new material included. The new version includes a new and more deep discussion of the finite volume and asymmetry effects

References in corpus (36)

• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• 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
• Infrared Properties of QCD from Dyson-Schwinger equations
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• On the Infrared Exponent for Gluon and Ghost Propagation in Landau Gauge QCD
• Non-perturbative Propagators, Running Coupling and Dynamical Quark Mass of Landau gauge QCD
• Infrared behaviour and fixed points in Landau gauge QCD
• Running Coupling and the Lambda-Parameter from SU(3) Lattice Simulations
• Infrared Exponents and Running Coupling of SU(N) Yang-Mills Theories
• Infinite Volume and Continuum Limits of the Landau-Gauge Gluon Propagator
• Asymptotic Scaling and Infrared Behavior of the Gluon Propagator
• A dynamical gluon mass solution in a coupled system of the Schwinger-Dyson equations
• The Elusiveness of Infrared Critical Exponents in Landau Gauge Yang--Mills Theories
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory II
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory
• Renormalization flow of Yang-Mills propagators
• Propagators and running coupling from SU(2) lattice gauge theory
• Gluon Propagator in the Infrared Region
• Relating a gluon mass scale to an infrared fixed point in pure gauge QCD
• Gribov Copies in the Minimal Landau Gauge: the Influence on Gluon and Ghost Propagators
• More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
• The Landau gauge gluon and ghost propagator in the refined Gribov-Zwanziger framework in 3 dimensions
• Time-independant stochastic quantization, DS equations, and infrared critical exponents in QCD
• Improved Landau gauge fixing and the suppression of finite-volume effects of the lattice gluon propagator
• Does The Lattice Zero Momentum Gluon Propagator for Pure Gauge SU(3) Yang-Mills Theory Vanish in the Infinite Volume Limit?
• Just how different are SU(2) and SU(3) Landau-gauge propagators in the IR regime?
• Infrared Features of the Landau Gauge QCD
• Finite volume effects in a quenched lattice-QCD quark propagator
• Large volume behaviour of Yang-Mills propagators
• Non-perturbative Power Corrections to Ghost and Gluon Propagators
• Infrared finite ghost propagator in the Feynman gauge
• Infrared Gluon Propagator from lattice QCD: results from large asymmetric lattices
• Infrared behavior of gluon and ghost propagators from asymmetric lattices
• Infrared Gluon and Ghost Propagators from Lattice QCD. Results from large asymmetric lattices
• The Infrared Landau Gauge Gluon Propagator from Lattice QCD

Cited by in corpus (20)

• Gauge bosons at zero and finite temperature
• The Infrared Behaviour of the Pure Yang-Mills Green Functions
• The lattice Landau gauge gluon propagator: lattice spacing and volume dependence
• Landau-gauge propagators in Yang-Mills theories at beta = 0: massive solution versus conformal scaling
• On the influence of three-point functions on the propagators of Landau gauge Yang-Mills theory
• The infrared behavior of Landau gauge Yang-Mills theory in d=2, 3 and 4 dimensions
• Two- and three-point functions in two-dimensional Landau-gauge Yang-Mills theory: Continuum results
• A covariant variational approach to Yang-Mills Theory
• A covariant variational approach to Yang-Mills Theory at finite temperatures
• Non-perturbative constraints on the quark and ghost propagators
• What Does Low Energy Physics Tell Us About The Zero Momentum Gluon Propagator
• Lattice Landau gauge with stochastic quantisation
• The lattice infrared Landau gauge gluon propagator: the infinite volume limit
• The lattice infrared Landau gauge gluon propagator: from finite volume to the infinite volume
• SU(2) meets SU(3) in lattice-Landau-gauge gluon and ghost propagators
• Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis
• Infrared exponents of gluon and ghost propagators from Lattice QCD
• Lower dimensional Yang-Mills theory as a laboratory to study the infrared regime
• The Landau gauge gluon propagator at zero and finite temperature: accounting for the combined finite lattice spacing and finite volume effects
• Non-perturbative BRST symmetry and the spectral structure of the ghost propagator