Constructive QFT has provided some interesting models for dimension $d < 4$ of space-time, satisfying specific axiomatic versions of QFT. On the other hand, it is a well known fact that an axiomatic theory can admit more than one model, the question here would be: is it known whether there are models that satisfy Wightman's set of axioms but not those of Osterwalder and Schrader, or vice versa?

This post imported from StackExchange Physics at 2024-01-26 18:19 (UTC), posted by SE-user Davius