GENERAL STRUCTURE OF CORRELATION-FUNCTIONS IN STOCHASTIC QUANTIZATION

We investigate the general structure of stationary correlation functions in stochastic quantization. On the basis of the (D + 1)-dimensional field-theoretical formulation (operator formalism), we prove the fluctuation dissipation theorem which establishes a link between two types of correlation functions (phi phi) and (phi pi), pi being the conjugate field to phi. A specific structure of the self-energies to the correlation functions is clarified in (D + 1)-dimensional momentum space, which, together with the fluctuation dissipation theorem, enables us to extract the fictitious time dependence of the correlation functions: The correlation length along the fictitious time is inversely proportional to p(2) + m(phys,)(2) m(phys) being the physical (pole) mass obtained in ordinary field theory.