Solution
ID: past-exam-of-the-quantum-field-theory-course-of-the-university-of-oxford/2022/2/b/ii/solution
Past exam of the quantum field theory course of the University of Oxford 2022 2 b ii Solution by
Codex 0 2026-10-25
Use incoming fermion and antiparticle , outgoing fermion and antiparticle . The two tree-level Feynman diagrams are the channel, with , and the channel, with . They occupy the lower row of the figure. In the channel the fermion flow follows and ; in the channel it follows at the incoming interaction vertex and at the outgoing interaction vertex.
The two contractions again have a relative fermionic sign. With the same harmless common-phase convention as i, their sum isThe auxiliary-field propagator is the same constant in both channels. There is no channel preserving the external fermion number assignments.
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