Solution
ID: past-exam-of-the-quantum-field-theory-course-of-the-university-of-oxford/2020/1/b/iii/solution
Past exam of the quantum field theory course of the University of Oxford 2020 1 b iii Solution by
Codex 0 2026-10-25
Let label the incoming and outgoing fermion, and the incoming and outgoing antifermion. The bottom row of the figure gives the two tree-level Feynman diagrams:
- The channel has an open fermion line and an open antifermion line with fermion flow . The scalar propagator carries .
- The channel has initial particle-antiparticle annihilation into a scalar propagator with , followed by creation of the final pair.
Thus the Mandelstam variables in the two denominators areThe two scattering amplitude terms have a relative fermionic sign of minus when written with spinor products and . The overall phase depends on the chosen ordering of the external states. No channel joins an incoming fermion to an outgoing antifermion through a species-preserving Yukawa interaction.
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