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Aug 22, 2017 at 5:30 comment added yuggib @flippiefanus It is only partially surprising, since the perturbative scattering theory of QFT has been showed to be in accordance with the mathematical setting of interacting field theories. Nonetheless, it is not yet known how to satisfy the axioms of QFT for any interacting theory in 3+1 dimensions.
Aug 21, 2017 at 9:39 comment added flippiefanus @yuggib: if that is true, then it is quite remarkable that theoretical predictions made from QFT based standard model agree so amazingly well with high-energy experimental results.
Aug 21, 2017 at 8:05 history edited Qmechanic CC BY-SA 3.0
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Aug 21, 2017 at 8:05 answer added John Rennie timeline score: 7
Aug 21, 2017 at 8:04 comment added yuggib Also from a theoretical point of view, we are not able yet to describe in a satisfactory way what happens during the interaction, at least in "realistic" models of high-energy physics, but only what happens in the limit of asymptotically free fields (where the concept of particle is satisfactorily defined).
Aug 21, 2017 at 8:04 comment added yuggib The problem is with relativistic quantum mechanics, where particles (excitations of quantum fields) can be created and destroyed by interaction. In QFT experiments (such as the high-energy experiments in accelerators), it is only possible to measure the asymptotic outcome via particles' detectors, but not what happens during the interaction.
Aug 21, 2017 at 7:57 comment added innisfree NB that $t\to\infty$ asymptotic states are non-interacting in the LSZ reduction formula.
Aug 21, 2017 at 7:44 history edited Dragonsheep CC BY-SA 3.0
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Aug 21, 2017 at 7:32 history asked Dragonsheep CC BY-SA 3.0