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Feynman Dyson Was the Most Intuitive
Feynman is perhaps most famous in this regard for his Feynman diagrams. In quantum electrodynamics, what you have are an exchange of photons between charged particles and they might even be virtual photons if the particles are at rest relative to one another. Julian Schwinger developed some of the mathematics for that and won the Nobel Prize for it. He had a set of rules of what to do at the vertex. And he'd have these rules associated when there were vertices and when there were particles splitting off from one another.