Feynman Rules for Any Spin
Abstract
The explicit Feynman rules are given for massive particles of any spin j, in both a 2j+1component and a 2(2j+1)component formalism. The propagators involve matrices which transform like symmetric traceless tensors of rank 2j; they are the natural generalizations of the 2×2 fourvector σ^{μ} and 4×4 fourvector γ^{μ} for j=12. Our calculation uses field theory, but only as a convenient instrument for the construction of a Lorentzinvariant S matrix. This approach is also used to prove the spinstatistics theorem, crossing symmetry, and to discuss T, C, and P.
 Publication:

Physical Review
 Pub Date:
 March 1964
 DOI:
 10.1103/PhysRev.133.B1318
 Bibcode:
 1964PhRv..133.1318W