Question

How does spin appear in QFT?

Answer 1

Operator of relativistic orbital angular momentum 4-tensor and 4-impulse operator creates Poincare algebra. It follows that eigenvalues of vector of angular momentum operator ​​are expressed through the whole or half-integer values (in ℏℏunits). But using only orbital momentum operator causes the possibility of having only integer values. We can artificially add operator, which implements an irreducible representation, so it doesn't connected with coordinate representation and may have half-integer values. But this method is an artificial, because without experimantal proof of existing of spin we can easily operate only with orbital angular momentum. In contrast, in quantum field theory, the spin occurs more naturally.

Answer 2

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⭕ Spin appears in QFT (quantum-field theory) - the orbitals and the realistic angular moment present in the QFT the 4 tensor and the 4 impulses occurred the eigenvalues of the angular momentum generated are expressed mean throw while and the half Intergers values the phenomenon is working on the whole changing values of angular momentum and the changing of orbital momentum in respect of it hence by changing factors we can change the interger values in the QFT. Bt without any experiment and a deep observation under certain conditions we can't go on any result. bt the spin is always generated whenever there is change in the orbital momentum and operates the angular mometum in the given QFT.


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