Abstract :
We study a U(N)-invariantvector+matrix chain with the color structure of a lattice gauge theory with quarks and interpret it as a theory of open and closed strings with target space Z. The string field theory is constructed as a quasiclassical expansion for the Wilson loops and lines in this model. In a particular parametrization this is a theory of two scalar massless fields defined in the half-space {x ∈Z,τ > 0}. The extra dimension τ is related to the longitudinal mode of the strings. The topology-changing string interactions are described by a local potential. The closed string interaction is nonzero only at boundary τ=0 while the open string interaction falls exponentially with τ.
