Spectral Methods and Running Scales in Causal Dynamical Triangulations

21 Jun 2019, 14:20
20m
Shimao 1A+1B

Shimao 1A+1B

Parallel Theoretical Developments Theoretical Developments

Speaker

Giuseppe Clemente (INFN - National Institute for Nuclear Physics)

Description

We will present recent results of the application of spectral analysis
in the setting of the Monte Carlo approach to Quantum Gravity known as
Causal Dynamical Triangulations (CDT), discussing the behaviour of the
lowest lying eigenvalues of the Laplace-Beltrami operator computed on
spatial slices. We will show that such a kind of analysis can provide
information about running scales of the theory and about the critical
behaviour around a possible second order transition in the CDT phase
diagram, where a continuum limit could be defined.

Authors

Giuseppe Clemente (INFN - National Institute for Nuclear Physics) Massimo D'Elia (University of Pisa) Alessandro Ferraro (Università di Pisa)

Presentation materials