Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge

Abstract

We consider the gluon propagator $D(p^2)$ at various lattice sizes and spacings in the case of pure SU(3) Yang-Mills gauge theories using the Landau gauge fixing. We discuss a class of fits in the infrared region in order to (in)validate the tree level analytical prediction in terms of the (Refined) Gribov-Zwanziger framework. It turns out that an important role is played by the presence of the widely studied dimension two gluon condensate $⟨A^2⟩$. Including this effect allows to obtain an acceptable fit up to 1 á 1.5 GeV, while corroborating the Refined Gribov-Zwanziger prediction for the gluon propagator. We also discuss the infinite volume extrapolation, leading to the estimate $D(0)=8.3\pm 0.5{\text{GeV}}^{-2}$. As a byproduct, we can also provide the prediction $⟨g^2{A}^2⟩\approx 3{\text{GeV}}^2$ obtained at the renormalization scale $\mu =10\text{GeV}$.

17 pages, 10 figures, updated version, accepted for publication in Phs.Rev.D

References in corpus (18)

• 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
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• Pinch Technique: Theory and Applications
• The Physics of Glueballs
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
• 1/q^2 Corrections and Gauge/String Duality
• More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
• Infrared analysis of propagators and vertices of Yang--Mills theory in Landau and Coulomb gauge
• Gribov horizon and BRST symmetry: a few remarks
• 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?
• Dimension-two gluon condensate from large-Nc Regge models
• Trace Anomaly, Thermal Power Corrections and Dimension Two condensates in the deconfined phase
• Electric-magnetic asymmetry of the A^2 condensate and the phases of Yang-Mills theory
• Resolving the instability of the Savvidy vacuum by dynamical gluon mass
• The asymmetry of the dimension 2 gluon condensate: the zero temperature case

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