What is an interpretation of wave of field?

[fxdung]

What is an interpretation of wave of field(wave that its medium is field) in QFT?Is it correct that the trajectory that wave propagates is the "classical trajectory" of particle created by the field?

 

[anuttarasammyak]

As a beginner I think probability amplitude or number density amplitude of particle propagates as wave. I appreciate your teachings.

 

[bhobba]

Well this is starting to get into what the interpretation sub-forum handles. But keeping it to what this section discusses have a look at Gleason's Theorem:
https://en.wikipedia.org/wiki/Gleason's_theorem

And in a related vein we also have the interesting Solers Theorem:
https://en.wikipedia.org/wiki/Solèr's_theorem

The following to some extent brings it together:
https://royalsocietypublishing.org/doi/10.1098/rsta.2016.0393

After many years of thinking about QM I believe in what the article suggests - we may be on the verge of a second quantum revolution on why QM is as it is - but progress is slow. Here is a modern attempt:
https://arxiv.org/pdf/1508.03709.pdf

Beyond that you need to take it up in the interpretations section.

Thanks
Bill