Srednicki — Quantum Field Theory · Problem 48.2

Canonical Quantization of Scalar Fields — Mark Srednicki

Physics — QFT · spin-averaged-cross-sections-crossing-symmetry

Problem

Compute ⟨∣T∣2⟩\langle|\mathcal{T}|^2\rangle for e+e−→φφe^+e^- \to \varphi\varphi. You should find that your result is the same as that for e−φ→e−φe^-\varphi \to e^-\varphi, but with s↔ts \leftrightarrow t, and an extra overall minus sign. This relationship is known as crossing symmetry. There is an overall minus sign for each fermion that is moved from the initial to the final state.

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