Srednicki — Quantum Field Theory · Problem 50.3

Canonical Quantization of Scalar Fields — Mark Srednicki

Physics — QFT · spinor-helicity-schouten-identity

Problem

Prove the Schouten identity, ⟨p q⟩⟨r s⟩+⟨p r⟩⟨s q⟩+⟨p s⟩⟨q r⟩=0.(50.36)\langle p\,q\rangle\langle r\,s\rangle + \langle p\,r\rangle\langle s\,q\rangle + \langle p\,s\rangle\langle q\,r\rangle = 0 . \tag{50.36} Hint: note that the left-hand side is completely antisymmetric in the three labels qq, rr, and ss, and that each corresponding twistor has only two components.

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