Witten’s cubic open string field theory on multiple Dp-branes

We study Witten's cubic open string field theory on multiple $Dp$-branes. On $Dp$-branes the fields carry $U(N)$ group indices. Mapping world-sheet onto upper half complex plane and evaluating Polyakov path integral of string, we obtain a Fock space representation one, two three-string vertex operators. In low energy region, system is described by massless gauge scalar fields, carrying The two-string induces mass terms for fields. interaction reduces correctly to term non-Abelian $(p+1)$ dimensional space. Thus, may be useful tool quantum dynamics strings