# The 35th International Symposium on Lattice Field Theory

18-24 June 2017
Palacio de Congresos
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# Contribution Parallel

Seminarios 1+2
Vacuum Structure and Confinement

# Three-point gluonic Green's functions: low-momentum behaviour and the QCD running coupling

## Speakers

• Prof. José RODRIGUEZ-QUINTERO

## Content

We will report on a detailed study of the three-gluon vertex in four-dimensional SU(3) Yang-Mills theory employing lattice simulations with large physical volumes and high statistics, and on a preliminary ongoing study of the same vertex function in QCD simulated with 2+1 Domain Wall fermions.

We will mainly focus on the very low-momenta behaviour of the 1PI vertex function, and prove that it can be well accounted with the solutions of the continuum Dyson-Schwinger equations; and on the QCD running coupling that can be nonperturbatively defined from the vertex-function and compared at large-momenta with perturbation theory. The latter makes possible a lattice estimate of $\Lambda_{\rm QCD}$. We conclude by presenting our preliminary results on the running coupling defined from the ghost-gluon vertex.

## Preferred track (if multiple tracks have been selected)

Vacuum Structure and Confinement