Why QFT still goes well while it lacks the notion of wave function?

[vanhees71]

But all this is known for decades, and the standard solution is to use local realizations of the Poicare group in termx of field operators encoding both particles and antiparticles (Feynman-Stückelberg trick) leading to a Lorentz-covariant S-matrix.

 

[Tendex]

But all this is known for decades, and the standard solution is to use local realizations of the Poicare group in termx of field operators encoding both particles and antiparticles (Feynman-Stückelberg trick) leading to a Lorentz-covariant S-matrix.

Sure, that's good old perturbative RQFT, but I don't think pavsic and Peterdonis are discussing about that.