  Several continuum and lattice investigations of the QCD three-gluon vertex
have recently exposed its key properties, some intimately connected with the
low-momentum behavior of the two-point gluon Green's function and specially
relevant for the emergence of a mass scale in this latter, via the Schwinger
mechanism. In the present study, we report on a lattice determination of the
Landau-gauge, transversely projected three-gluon vertex, particularly
scrutinizing an outstanding one of these properties, termed planar degeneracy,
exploring its implications and capitalizing on it to gain further insight on
the low-momentum running of both the three-gluon vertex and its associated
strong coupling.
