Speaker
Andrzej Görlich
(Jagiellonian U. )
Description
The model of Causal Dynamical Triangulations (CDT) is a background-independent and diffeomorphism-invariant approach to quantum gravity, which provides a lattice regularization of the formal gravitational path integral. The framework does not require any coordinate system but uses only geometric invariants. We introduce coordinates via scalar fields with periodic boundary conditions with a jump that match a universe with a toroidal spatial topology. I will present the impact of dynamical matter fields on the geometry of a typical quantum universe in the four-dimensional CDT model. In particular, I will discuss a phase transition induced by the change in the amplitude of the scalar field jump.
