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However, this is not a problem: QM is not-relativistic.

QFT "is" a relativistic quantum theory. I have heard (but not understood) that there are no wavefunctions in QFT. In fact, I am embarrassed to admit that I do not understand how the framework of QM (collapse of the wavefunction, ...) fits into QFT.

How does QFT, as a relativistic quantum theory, deal with different observers seeing or not seeing the collapse of a "state" (or wavefunction), in a given observation by an observer?