2 research outputs found
Is the QCD ghost dressing function finite at zero momentum ?
We show that a finite non-vanishing ghost dressing function at zero momentum
satisfies the scaling properties of the ghost propagator Schwinger-Dyson
equation. This kind of Schwinger-Dyson solutions may well agree with lattice
data and provides an interesting alternative to the widely spread claim that
the gluon dressing function behaves like the inverse squared ghost dressing
function, a claim which is at odds with lattice data. We demonstrate that, if
the ghost dressing function is less singular than any power of , it must be
finite non-vanishing at zero momentum: any logarithmic behaviour is for
instance excluded. We add some remarks about coupled Schwinger-Dyson analyses.Comment: 8 pages, 2 figure
Short comment about the lattice gluon propagator at vanishing momentum
7 pages, no figures, commentWe argue that all evidences point towards a finite non-vanishing zero momentum renormalised lattice gluon propagator in the infinite volume limit. We argue that different simulations with different lattice setups end-up with fairly compatible results for the gluon propagator at zero momentum, with different positive slopes as a function of the inverse volume