  A natural generalization of the CSL (Continuous Spontaneous Localization)
theory of dynamical collapse is applied to a relativistic quantum scalar field
$\phi({\bf x},t)$. It is shown that the modified Schr\"odinger equation is
relativistically invariant, that the probabilities associated to all possible
values of the classical scalar random field $w({\bf x},t)$ (which determines
the eventual state of collapse) add up to 1, that there is no energy production
out of the vacuum and, in the limit of large time, the collapse is toward
eigenstates of $\phi({\bf x},0)$.
