In summary, in quantum field theory, a wave of field refers to the propagation of a particle through a medium of field. The trajectory of this wave is considered to be the classical trajectory of the particle created by the field. This topic falls under the interpretations of quantum mechanics, and there are various theorems and articles, such as Gleason's Theorem and Solèr's Theorem, that attempt to explain the underlying principles. There is ongoing research and discussion in this area, with the possibility of a second quantum revolution on the horizon. Further discussions on this topic can be found in the interpretations section.
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fxdung
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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?
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
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.