Based on the Veneziano ghost theory of QCD, we estimate the cosmological constant Λ, which is related to the vacuum energy density,
, by
=8πG
. In the recent Veneziano ghost theory is given by the absolute value of the product of the local quark condensate and quark current mass:
=(2N
fH/m
)*c|m
q<0|:qq:|0>|.By solving Dyson-Schwinger Equations for a dressed quark propagator, we found the local quark condensate <0|:qq:|0>; -(235 MeV)
3, the generally accepted value. The quark current mass is m
q 4.0 Mev. This gives the same result for
as found by previous authors, which is somewhat larger than the observed value. However, when we make use of the nonlocal quark condensate, <0|:q(x)q(0):|0>=g(x)<0|:qq:|0>, with g(x) estimated from our previous work, we find Λ is in a good agreement with the observations.