PATH INTEGRAL IN CORRELATED EIGENSTATE BASIS OF COMPLEX SCALAR FIELDS \phi(x) AND \phi^\dagger(x)

Using the technique of integration within an ordered product of operators, we construct a new common eigenvector set of the complex scalar fields \varphi(x) and \phi^\dagger(x), which is a set of particle-antiparticle correlated states. On the basis of the new eigenstates we develop the path integral formuation. The new eigenvectors' properties are investigated, they are qualified to be a new representation.