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Deriving Veneziano Model in a Novel String Field Theory Solving String Theory by Liberating Right and Left Movers
Bosonic string theory with the possibility for an arbitrary number of strings
- i.e. a string field theory - is formulated by a Hilbert space (a Fock space),
which is just that for massless noninteracting scalars. We earlier presented
this novel type of string field theory, but now we show that it leads to
scattering just given by the Veneziano model amplitude. Generalization to
strings with fermion modes would presumably be rather easy. It is
characteristic for our formulation /model that: 1) We have thrown away some
null set of information compared to usual string field theory, 2)Formulated in
terms of our \objects" (= the non-interacting scalars) there is no interaction
and essentially no time development(Heisenberg picture), 3) so that the
S-matrix is in our Hilbert space given as the unit matrix, S=1, and 4) the
Veneziano scattering amplitude appear as the overlap between the initial and
the final state described in terms of the \objects". 5) The integration in the
Euler beta function making up the Veneziano model appear from the summation
over the number of \objects" from one of the incoming strings which goes into a
certain one of the two outgoing strings. A correction from Weyl anomaly is
needed to get the correct form of the Veneziano amplitude and it only fits for
26 dimensions.Comment: 43 pages, 7 figures, To be published in Proc.of 17th Bled Workshop
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