• Causal Dynamical Triangulations (CDT)
• Gauge
• lattice
• Monte Carlo
• numerical
• quantum gravity
• simulations

We design an algorithm for performing numerical simulations of the quantum dynamics of both gravity and gauge fields.
To do this we used the framework of Causal Dynamical Triangulations (CDT), that acts as an ultraviolet regulator defining the quantum dynamics of gravity on a specific kind of piece-wise linear manifold, the triangulations.
So we introduce on these triangulations a gauge structure, generalizing the pure gravity algorithm of CDT by merging it properly with the algorithms used for static flat backgorunds, in a way independent on the dimension of triangulations.
We also implement our algorithm and run the simulations, analyzing the outputs and comparing them with the theoretical predictions.