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What is the difference between dynamics and kinematics of quantum field theory? I read that in QFT there is no possibility to keep the two things distinct because of a problem with the separability of the Hilbert space on which the theory is defined. So, I would like to know if they are associated to a particular kind of transformation that has to satisfy some constraints.

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    $\begingroup$ More on kinematics and dynamics: physics.stackexchange.com/q/1135/2451 and links therein. $\endgroup$ – Qmechanic Jun 24 '15 at 15:11
  • $\begingroup$ "Dynamics" and "Kinematics" are classical mechanical terms (and are arbitrary even there). It doesn't make much sense to me to try and apply them to quantum theory (field or not). $\endgroup$ – ACuriousMind Jun 24 '15 at 20:38

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