In this brief note we would like to discuss, in a simple model system,
the conditions under which the discrete light cone quantization frame
work should be trusted as an approximation scheme, with regard, in par
ticular, to the size and mass of the system. Specifically, we are goin
g to discuss ''quark-antiquark'' bound states in 1 + 1 dim., for which
a natural size is provided by analogy with a ''two points and a sprin
g'' system, and show that the condition for obtaining a reliable estim
ate is the same as the one derived in a recent paper for black holes i
n matrix theory. (C) 1998 Published by Elsevier Science B.V. All right
s reserved.