Testing the OPE Wilson coefficient for $A^2$ from lattice QCD with a dynamical charm

Abstract

Gluon and ghost propagators data, obtained in Landau gauge from lattice simulations with two light and two heavy dynamical quark flavours ($N_f$=2+1+1), are described here with a running formula including a four-loop perturbative expression and a nonperturbative OPE correction dominated by the local operator $A^2$. The Wilson coefficients and their variation as a function of the coupling constant are extracted from the numerical data and compared with the theoretical expressions that, after being properly renormalized, are known at $\mathcal{O}({\alpha }^4)$. As also $Λ_{\msbar}$ is rather well known for $N_f$=2+1+1, this allows for a precise consistency test of the OPE approach in the joint description of different observables.

12 pages, 11 figures, 3 tables

References in corpus (5)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Pinch Technique: Theory and Applications
• Light hadrons from lattice QCD with light (u,d), strange and charm dynamical quarks
• On the reduction of hypercubic lattice artifacts
• Renormalisation of quark propagators from twisted-mass lattice QCD at $N_f$=2

Cited by in corpus (13)

• Explanation and Prediction of Observables using Continuum Strong QCD
• QCD phase transitions via a refined truncation of Dyson-Schwinger equations
• Quark Number Fluctuations at Finite Temperature and Finite Chemical Potential via the Dyson-Schwinger Equation Approach
• Interface Effect in QCD Phase Transitions via Dyson-Schwinger Equation Approach
• High statistics determination of the strong coupling constant in Taylor scheme and its OPE Wilson coefficient from lattice QCD with a dynamical charm
• A local and renormalizable framework for the gauge-invariant operator $A_{\min }^2$ in Euclidean Yang-Mills theories in linear covariant gauges
• Renormalization group functions of QCD in the minimal MOM scheme
• Zero mode in a strongly coupled quark gluon plasma
• Three-gluon running coupling from lattice QCD at $N_f=2+1+1$: a consistency check of the OPE approach
• A novel method for the physical scale setting on the lattice and its application to $N_f$=4 simulations
• Renormalizability of pure $\mathcal{N}=1$ Super Yang-Mills in the Wess-Zumino gauge in the presence of the local composite operators $A^2$ and $\bar{\lambda }\lambda$
• Testing OPE for ghosts, gluons and ${\alpha }_s$
• On Collective Properties of Dense QCD Matter