Path integral in correlated eigenstate basis of complex scalar fields ϕ(x) and ϕ † (x)

Abstract

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