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Marinari-Parisi and Supersymmetric Collective Field Theory
A field theoretic formulation of the Marinari-Parisi supersymmetric matrix
model is established and shown to be equivalent to a recently proposed
supersymmetrization of the bosonic collective string field theory. It also
corresponds to a continuum description of super-Calogero models. The
perturbation theory of the model is developed and, in this approach, an
infinite sequence of vertices is generated. A class of potentials is identified
for which the spectrum is that of a massless boson and Majorana fermion. For
the harmonic oscillator case, the cubic vertices are obtained in an oscillator
basis. For a rather general class of potentials it is argued that one cannot
generate from Marinari-Parisi models a continuum limit similar to that of the
d=1 bosonic string.Comment: 45 page
Modelling distribution functions and fragmentation functions
We present examples for the calculation of the distribution and fragmentation
functions using the representation in terms of non-local matrix elements of
quark field operators. As specific examples, we use a simple spectator model to
estimate the leading twist quark distribution functions and the fragmentation
functions for a quark into a nucleon or a pion.Comment: 5 pages RevTeX, talk presented at the First ELFE School on
Confinement Physics, 22-28 July 1995, Cambridge, Englan
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