The observation of the scaling properties of the structure
functions w and vw of deep inelastic electron 1 2 nucleon
scattering [1]+ has been taken by many people as an indication for
an approximate scale invariance of the world. It was pointed out by
Wilson [2], that in many field theories it is possible to assign a
dimension d to every fundamental field, which proves to be a
conserved quantum number as far as the most singular term of an
operator product expansion at small distances ((x-y) +a) is con- JJ
cerned++. Later it was shown, at the canonical level, that in many
field theories the dimension of a field seems to be a c:pod quantum
number even in the terms less singular at small (x-y) , as long as
they all belong to the strongest \l light cone singularity (i. e.
(x-y)2+a) [3]. The assumption that this type of scale invariance on
the light cone be present in the operator product ex pansion of two
electromagnetic currents has provided us with a rather natural
explanation of the observed scaling phenomena. We should like to
mention, however, that this ex planation cannot account for the
precocity with which scaling is being observed experimentally in
energy regions, in which resonances still provide prominent
contributions to the final states [4].
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