In earlier work, planar graphs of massless phi^3 theory were summed with the
help of the light cone world sheet picture and the mean field approximation. In
the present article, the same methods are applied to the problem of summing
planar bosonic open strings. We find that in the ground state of the system,
string boundaries form a condensate on the world sheet, and a new string
emerges from this summation. Its slope is always greater than the initial
slope, and it remains non-zero even when the initial slope is set equal to
zero. If we assume that the initial string tends to some field theory in the
zero slope limit, this result provides evidence for string formation in field
theory.Comment: Latex, 25 pages, 5 figures, typos corrected, a paragraph, a note,
acknowledgements and more references adde
