Abstracts

Aleksandar Miković

Finiteness of piecewise flat quantum gravity with matter

We describe the convergence properties of the path integral for General Relativity with matter on a piecewise flat spacetime that corresponds to a triangulation of a smooth manifold by using a path-integral measure that renders the pure gravity path integral finite. This measure depends on a parameter p, and we show that for p > 46,5 the path integral is absolutely convergent for the case when the matter fields are those of the Standard Model. Hence one can construct a simple quantum gravity theory whose classical limit is General Relativity coupled to the Standard Model.