The de Sitter Instanton from Euclidean Dynamical Triangulations

Understand

We study the emergence of de Sitter space in Euclidean dynamical triangulations (EDT).

• Working within the semi-classical approximation, it is possible to relate the lattice parameters entering the simulations to the partition function of Euclidean quantum gravity.
• We verify that the EDT geometries behave semi-classically, and by making contact with the Hawking-Moss instanton solution for the Euclidean partition function, we show how to extract a value of the renormalized Newton's constant from the simulations.
• This value is consistent with that of our previous determination coming from the interaction of scalar particles.