What is the difference between the "real" particle electron (for instance) and the spinor field of electron? I mean, which means that the electron have been described by a spinor field?My question is based upon a phrase from Geroch's book [ http://strangebeautiful.com/other-texts/geroch-qft-lectures.pdf ]
Particles with half-integer spin (electrons, neutrinos, etc.) are described by mathematical objects called spinor fields