Deriving Veneziano Model in a Novel String Field Theory Solving String Theory by Liberating Right and Left Movers

TL;DR

This paper introduces a novel string field theory formulation that reproduces the Veneziano scattering amplitude by representing string interactions as overlaps in a Hilbert space of non-interacting scalars, simplifying the traditional interaction picture.

Contribution

The authors present a new string field theory model that derives the Veneziano amplitude without explicit interactions, using a Hilbert space of non-interacting objects, and clarifies the role of summation over objects in scattering.

Findings

Veneziano amplitude emerges as an overlap in the new model.

The model simplifies string interactions by removing explicit interactions.

The approach is consistent in 26 dimensions with Weyl anomaly correction.

Abstract

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.