  In this short note we announce the construction of scale invariant
non-Gaussian generalized stochastic processes over three dimensional p-adic
space. The construction includes that of the associated squared field and our
result shows this squared field has a dynamically generated anomalous dimension
which rigorously confirms a prediction made more than forty years ago, in an
essentially identical situation, by Kenneth G. Wilson. We also prove a mild
form of universality for the model under consideration.
