SYMMETRY TRANSFORMATIONS FROM LOCAL CURRENTS

For internal symmetries it is shown that it is possible to construct automorphisms for a Haag-Araki local ring system {ℛ(O)} from a local current affiliated to it. Although the charges"Qv for finite volume V do not converge for V→∞ we prove the convergence of the corresponding automorphisms of {ℛ(O)}. For external symmetries which map bounded space-time regions into unbounded ones (e.g. translations) we have to require some additional continuity condition on the isomorphisms corresponding to Qv to get convergence. © 1969 Springer-Verlag."