Perhaps the question may seem a bit provocative, but it refers to several mathematical and, presently physical facts, pointed out a long time ago:
- The Unruh effect suggests that an accelerated observer will contact a different number of real particles than a non-accelerated observer (with respect to a certain pre-established reference frame).
- Birrell and Davies (1982) point out a similar ambiguity with respect to the formulation of QFT in curved spacetimes, where the notion of particle would depend on the observer (if I do not misunderstand their statements).
- Even in Axiomatic QFT we have statements such as that: Reeh-Schlieder (RS) Theorem entails that the local algebras of AQFT do not contain operators that annihilate the vacuum. Hence if a number operator has the vacuum as an eigenstate, then there are no local number operators. That is perhaps enough to convince most readers that localized particles are not possible in relativistic QFT
Despite the various No Go results for localized particles in relativistic QFT, the interpretation of experiments in high energy physics seems to require a notion of something causing clicks in detectors, and that a “detector” is fairly well localized in some bounded region of spacetime. After thinking about this and the marks that individual electrons seem to leave on phosphorescent screens, my questions are:
- Do we really detect individual electrons or causal processes associated with a strongly localized (though not completely localized) electron field?
- What would be the "clicks" associated with detections and "marks" left by electrons on phosphorescent screens?
Disclaimer: I understand that I am possibly falling into some kind of semantic trap and that possibly formulated in formal terms my questions could be meaningless in the framework of (axiomatic) QFT, but any informal discussion or clarification could also be useful.