Is the Correct Delta Function for a QED Vertex \(\delta(p+q-k)\)?

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SUMMARY

The correct delta function for a Quantum Electrodynamics (QED) vertex involving an anti-fermion (p), a fermion (q), and a photon (k) is \(\delta(p + q - k)\). The discussion clarifies that the momentum conservation at the vertex requires the delta function to reflect the total incoming and outgoing momentum. The confusion arises from the interpretation of particle flow and charge conservation, which dictates that a fermion cannot come in while an anti-fermion exits, reinforcing the necessity of charge conservation in QED interactions.

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  • Understanding of Quantum Electrodynamics (QED)
  • Familiarity with delta functions in physics
  • Knowledge of particle physics terminology, specifically fermions and anti-fermions
  • Basic principles of momentum conservation in particle interactions
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kilokhan
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say I have a QED vertex with an anti-fermion (p) going in and a fermion (q) and photon(k) coming out. Since the momentum flow is supposed to be along the direction of particle number flow, wouldn't this mean that the delta function at that vertex would be \delta(-p-q-k) ? that doesn't seem to make sense. What is the correct delta function, and how do I get it?
 
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You can't have a fermion coming in and an antifermion coming out; that violates charge conservation ...
 

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