We investigate a way of imposing simplicity constraints in a holomorphic spin foam model that we recently introduced. Rather than imposing the constraints on the boundary spin network, as is usually done, one can impose the constraints directly on the spin foam propagator. We find that the two approaches have the same leading asymptotic behavior, with differences appearing at higher order. This allows us to obtain a model that greatly simplifies calculations, but still has Regge calculus as its semiclassical limit.

• Received 19 April 2016

DOI:https://doi.org/10.1103/PhysRevD.94.104003