Towards an UV fixed point in CDT gravity

Understand

CDT is an attempt to formulate a non-perturbative lattice theory of quantum gravity.

• We describe the phase diagram and analyse the phase transition between phase B and phase C (which is the analogue of the de Sitter phase observed for the spherical spatial topology).
• This transition is accessible to ordinary Monte Carlo simulations when the topology of space is toroidal.
• We find that the transition is most likely first order, but with unusual properties.