Theory of relativistic string with ghost degrees of freedom

Quantum and classical dynamics of a boson relativistic string (RS) with ghost degrees of freedom is considered. Local integrals of motion of sucha string and the solution of the Cauchy problem have been constructed. The integral representation for RS propagator has been obtained on the basis of the Cauchy problem solution. These results can become a base for a new approach to the construction of the field theory of interacting strings. A universal character of string investigation methods presented in this paper is marked. In particular, these methods are easily extended to a fermion string case