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The explicit Feynman rules are given for massive particles of any spin j, in both a 2j+1-component 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 22 four-vector ^ and 44 four-vector ^ for j=12. Our calculation uses field theory, but only as a convenient instrument for the construction of a Lorentz-invariant S matrix. This approach is also used to prove the spin-statistics theorem, crossing symmetry, and to discuss T, C, and P.
Steven Weinberg (Mon,) studied this question.