I've been looking into Feynman Diagram for quite some time, and the fact that anti-particles point backwards in time after an interaction has been puzzling me. I understand this to be some convention regarding charges and conservation, yet I wish to know what does this all mean. Does the fact that the pair of particles have lines at, say $t=0$, and an interaction occurs at $t=5$ mean that both particles existed at $t=0$ and we are just measuring the effects of a future interaction?
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1Related: http://physics.stackexchange.com/q/391/2451 and links therein. – Qmechanic Nov 20 '13 at 13:45
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The arrows in Feynman Diagrams are convenctions. You use them when a particle has some kind of propagator like $\Delta(t-t')$, and the corresponding antiparticle has a propagator like $\Delta(t'-t)$ (this happens, for example, for fermions). Feynman diagrams are, at the end of the day, just compact ways to write terms of a perturbation series; I'm not sure if you can attribute some real physical meaning to them.

Alex A
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Thanks! I figured it was something along those lines but wanted to be sure. – Demian Licht Nov 20 '13 at 14:21