  We give a more transparent understanding of the vacuum expectation value of
the renormalised local operator A^2 by relating it to the gluon propagator
integrated over the momentum. The quadratically divergent perturbative
contribution is subtracted and the remainder, dominantly due to the O(1/p^2)
correction to the perturbative propagator at large p^2 is logarithmically
divergent. This provides a transparent derivation of the fact that this
O(1/p^2) term is related to the vacuum expectation value of the local A^2
operator and confirms a previous claim based on the operator product expansion
(OPE) of the gluon propagator. At leading logarithms the agreement is
quantitative, with a standard running factor, between the local A^2 condensate
renormalised as described above and the one renormalised in the OPE context.
