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propagator gives the probability amplitude for a particle to travel from one place to another in a given time, or to travel with a certain energy and momentum.

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Self-loops in Chern-Simons theory

Consider the dumbbell graph decorated with propagator $P$ one the edges and with integration variables $x$ and $y$ on the vertices. … The propagator $P$ is namely singular on the diagonal and the expression $P(x,x)$ does not make any sense. Thanks! …
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