Causal Dynamical Triangulations without preferred foliation

A statistical formalism of Causal Dynamical Triangulations

We rewrite the 1+1 Causal Dynamical Triangulations model as a spin system and thus provide a new method of solution of the model. Email address: [email protected] Email address: [email protected] 1

Gauge fixing in Causal Dynamical Triangulations

We relax the definition of the Ambjørn-Loll causal dynamical triangulation model in 1 + 1 dimensions to allow for a varying lapse. We show that, as long as the spatially averaged lapse is constant in time, the physical observables are unchanged in the continuum limit. This supports the claim that the time slicing of the model is the result of a gauge fixing, rather than a physical preferred tim...

Quantum Gravity and Matter: Counting Graphs on Causal Dynamical Triangulations

An outstanding challenge for models of non-perturbative quantum gravity is the consistent formulation and quantitative evaluation of physical phenomena in a regime where geometry and matter are strongly coupled. After developing appropriate technical tools, one is interested in measuring and classifying how the quantum fluctuations of geometry alter the behaviour of matter, compared with that o...

The transfer matrix in four dimensional causal dynamical triangulations

The Causal Dynamical Triangulation model of quantum gravity (CDT) is a proposition to evaluate the path integral over space-time geometries using a lattice regularization with a discrete proper time and geometries realized as simplicial manifolds. The model admits a Wick rotation to imaginary time for each space-time configuration. Using computer simulations we determined the phase structure of...

Two - dimensional causal dynamical triangulations with gauge fields