Three-gluon running coupling from lattice QCD at $N_f=2+1+1$: a consistency check of the OPE approach

Abstract

We present a lattice calculation of the renormalized running coupling constant in symmetric (MOM) and asymmetric ($\widetilde{\mathrm{MOM}}$) momentum substraction schemes including $u$, $d$, $s$ and $c$ quarks in the sea. An Operator Product Expansion dominated by the dimension-two $⟨A^2⟩$ condensate is used to fit the running of the coupling. We argue that the agreement in the predicted $⟨A^2⟩$ condensate for both schemes is a strong support for the validity of the OPE approach and the effect of this non-gauge invariant condensate over the running of the strong coupling.

Revised version (8 pages, 5 figures)

References in corpus (16)

• 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
• Pinch Technique: Theory and Applications
• Light hadrons from lattice QCD with light (u,d), strange and charm dynamical quarks
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
• Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge
• High-Precision Charm-Quark Mass and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD
• Gluon mass generation in the PT-BFM scheme
• Update: Accurate Determinations of alpha_s from Realistic Lattice QCD
• On the reduction of hypercubic lattice artifacts
• The Realistic Lattice Determination of alpha_s(M_Z) Revisited
• High statistics determination of the strong coupling constant in Taylor scheme and its OPE Wilson coefficient from lattice QCD with a dynamical charm
• Dimension-two gluon condensate from large-Nc Regge models
• Trace Anomaly, Thermal Power Corrections and Dimension Two condensates in the deconfined phase
• Renormalisation of quark propagators from twisted-mass lattice QCD at $N_f$=2
• A novel method for the physical scale setting on the lattice and its application to $N_f$=4 simulations

Cited by in corpus (11)

• The strong running coupling from the gauge sector of Domain Wall lattice QCD with physical quark masses
• Refining the detection of the zero crossing for the symmetric and asymmetric three-gluon vertices
• Further Evidence For Zero Crossing On The Three Gluon Vertex
• Hadronic vacuum polarization function within dispersive approach to QCD
• Probing the tensor structure of lattice three-gluon vertex in Landau gauge
• The running coupling from gluon and ghost propagators in the Landau gauge: Yang-Mills theories with adjoint fermions
• Four-loop QCD MOM beta functions from the three-loop vertices at the symmetric point
• The $A^2$ asymmetry and propagators in lattice $SU(2)$ gluodynamics at $T>T_c$
• A window on infrared QCD with small expansion parameters
• On the contribution of different coupling constants in the infrared regime of Yang-Mills theory: a Curci-Ferrari approach
• nonlocal quark condensate from Dyson-Schwinger Equation and its contributions to the gluon vacuum polarization based on OPE approach