  For small values of the gauge coupling constant, we compare the densities of
the energy of the vacuum and of the order parameter, evaluated in the lattice
Monte Carlo simulation and in the perturbative field theory at two loop
(Minkowski). The continuum calculation allows a very good fit of the simulation
results, away from the phase transition line. This confirms the conjecture that
the lattice provides a regularization of the (nonrenormalizable) massive
Yang-Mills and moreover it shows the physical meaning of the parameters used in
the simulation.
