  The 2-surface characterization of special classical radiative Higgs-,
Yang-Mills and linear zero-rest-mass (l.z.r.m) fields with any spin is
investigated. We determine all the zero quasi-local mass Higgs- and Yang-Mills
field configurations with compact semisimple gauge groups, and show that they
are plane waves (provided the Higgs field is massless and linear) and
appropriate generalizations of plane waves (`Yang-Mills pp-waves'),
respectively. A tensor field (generalizing the energy-momentum tensor for the
Maxwell field and of the Bel-Robinson tensor for the linearized gravitational
field) is found by means of which the pp-wave nature of the solutions of the
l.z.r.m. field equations with any spin can be characterized equivalently. It is
shown that these radiative Yang-Mills and l.z.r.m. fields, given on a finite
globally hyperbolic domain D, are determined completely by certain
unconstrained data set on a closed spacelike 2-surface, the `edge of D'. These
pure radiative solutions are shown to determine a dense subset in the set of
solutions of various (Yang-Mills and l.z.r.m.) field equations. Thus for these
field configurations some `classical quasi-local holography' holds.
