- 624

- 101

## Main Question or Discussion Point

Often I see QFT texts introduce dirac spinors by comparing them to the two component spin states (which I have come to accept are also spinors) in NRQM. And arguing that since the NRQM spinors transform via SU(2), our desired quantum fields for spin 1/2 particles should be some higher dimensional version of this.

I don't quite see the logic here. The NRQM spinors are states while the dirac field is basically an operator (or a bunch of them).

What am I missing? There seems to truly be some connection yet I cannot wrap my mind around it.

Spin comes out of the dirac spinor field as a conserved current due to the field itself transforming under lorentz transformations.

Spin in NRQM is kind of just ad-hoc put in by hand.

I don't quite see the logic here. The NRQM spinors are states while the dirac field is basically an operator (or a bunch of them).

What am I missing? There seems to truly be some connection yet I cannot wrap my mind around it.

Spin comes out of the dirac spinor field as a conserved current due to the field itself transforming under lorentz transformations.

Spin in NRQM is kind of just ad-hoc put in by hand.