  Explicit realizations of quantum field theory (QFT) are admitted by a
revision to the Wightman axioms for the vacuum expectation values (VEV) of
fields. The technical development of QFT is expanded beyond positive
functionals on *-algebras while the physically motivated properties: Poincare
covariance; positive energy; microcausality; and a Hilbert space realization of
states, are preserved.
