MODELS OF LOCAL RELATIVISTIC QUANTUM-FIELDS WITH INDEFINITE METRIC (IN ALL DIMENSIONS)

A condition on a set of truncated Wightman functions is formulated and shown to permit the construction of the Hilbert space structure inclu ded in the Morchio-Strocchi modified Wightman axioms. The truncated Wi ghtman functions which are obtained by analytic continuation of the (t runcated) Schwinger functions of Euclidean scalar random fields and co variant vector (quaternionic) random fields constructed via convoluted generalized white noise, are then shown to satisfy this condition. As a consequence such random fields provide relativistic models for inde finite metric quantum field theory, in dimension 4 (vector case), resp ectively in all dimensions (scalar case).