Remarks on the determination of the Landau gauge OPE for the Asymmetric three gluon vertex

Abstract

We compute a compact OPE formula describing power corrections to the perturbative expression for the asymmetric $\widetilde{MOM}$-renormalized running coupling constant up to the leading logarithm. By the use of the phenomelogical hypothesis leading to the factorization of the condensates through a perturbative vacuum insertion, the only relevant condensate in the game is $<A^2>$. The validity of the OPE formula is tested by searching for a good-quality coherent description of previous lattice evaluations of $\widetilde{MOM}$-renormalized gluon propagator and running coupling.

12 pages, 3 figures (2 generated by the macro: axodraw.sty)

References in corpus (1)

• Testing Landau gauge OPE on the Lattice with a $<A^2>$ Condensate

Cited by in corpus (28)

• FLAG Review 2019
• FLAG Review 2021
• Vacuum condensate of mass dimension 2 as the origin of mass gap and quark confinement
• The Infrared Behaviour of the Pure Yang-Mills Green Functions
• B-parameters of the complete set of matrix elements of (Delta B = 2) operators from the lattice
• Ghost-gluon running coupling, power corrections and the determination of ${\Lambda }_{\overline{\mathrm{MS}}}$
• Quark-gluon vertex from lattice QCD
• Refining the detection of the zero crossing for the symmetric and asymmetric three-gluon vertices
• Renormalizing a BRST-invariant composite operator of mass dimension 2 in Yang-Mills theory
• Further Evidence For Zero Crossing On The Three Gluon Vertex
• Instantons and $<A^2>$ Condensate
• The strong coupling constant at small momentum as an instanton detector
• Ghost-gluon coupling, power corrections and ${\Lambda }_{\overline{\mathrm{MS}}}$ from twisted-mass lattice QCD at Nf=2
• On the leading OPE corrections to the ghost-gluon vertex and the Taylor theorem
• Quark propagator and vertex: systematic corrections of hypercubic artifacts from lattice simulations
• Artefacts and <A2> power corrections : revisiting the MOM Z_psi and Z_V
• Non-perturbative Power Corrections to Ghost and Gluon Propagators
• Modified instanton profile effects from lattice Green functions
• Preliminary Calculation of ${\alpha }_s$ from Green Functions with Dynamical Quarks
• Renormalisation of quark propagators from twisted-mass lattice QCD at $N_f$=2
• Three-gluon running coupling from lattice QCD at $N_f=2+1+1$: a consistency check of the OPE approach
• A transparent expression of the A^2-Condensate's renormalisation
• Testing the OPE Wilson coefficient for $A^2$ from lattice QCD with a dynamical charm
• Power corrections to symmetric point vertices in Gribov-Zwanziger theory
• A Confining String Theory Derivable from Yang-Mills Theory due to a Novel Vacuum Condensate
• An Instanton Picture O.P.E. <A^2> Condensate?
• Testing OPE for ghosts, gluons and ${\alpha }_s$
• Non-perturbative study of QCD correlators