Positivity of Wightman functionals and the existence of local nets

Hans-J├╝rgen Borchers, Jakob Yngvason
October 23, 1990
The paper is concerned with the existence of a local net of von Neumann algebras associated with a given Wightman field. For fields satisfying a generalized $H$-bound the existence of such a net is shown to be equivalent toa certain positivity property of the Wightman distributions.

Wightman QFT, H-bounds, AQFT vs Wightman QFT