Speaker
Dr
Giuseppe Clemente
(Pisa University)
Description
I will discuss the application of spectral analysis, i.e. analysis of the spectrum and eigenvectors of the Laplace-Beltrami operator, in the setting of the Monte-Carlo approach to Quantum Gravity called Causal Dynamical Triangulations (CDT). In particular, applying the method to the analysis of spatial slices shows that the different phases can be characterized by a new order parameter related to the presence or absence of a gap in the spectrum of the Laplace-Beltrami operator, and allows to derive an effective dimensionality of the slices at different scales.
