In causal set theory spacetime is assumed to be discrete. This talk describes a method for performing path integrals on the discrete spacetime of a causal set. In the continuum, defining quantum mechanical path integrals as a "sum over all paths" is difficult but on a causal set this can be achieved by a simple matrix geometric series. The discrete path integrals define a propagator for particles on a causal set which, for suitable causal sets, agrees with the causal retarded Klein-Gordon propagator. |
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