For Poisson-sprinkled causal sets in 1+1D Minkowski space, the averaged massless retarded propagator is a normalized exp(L) with L the link matrix; the massive case via mass-scattering series agrees with the continuum after averaging.
Dowker, in100 Years Of Relativity: space-time structure: Einstein and beyond(World Scientific, 2005) pp
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Link-based causal set propagators in $1+1$ dimensions
For Poisson-sprinkled causal sets in 1+1D Minkowski space, the averaged massless retarded propagator is a normalized exp(L) with L the link matrix; the massive case via mass-scattering series agrees with the continuum after averaging.