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Spectral Methods in Causal Dynamical Triangulations
Giuseppe Clemente, Massimo D'Elia, Alessandro Ferraro
We show 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), discuss…
Spectral Projectors Method for Staggered Fermions
Claudio Bonanno, Giuseppe Clemente, Massimo D'Elia +1
We extend the spectral projectors method to staggered fermions. Applying the index theorem to the staggered Dirac operator it is possible to work out an expression for the topologi…
Topology via Spectral Projectors with Staggered Fermions
Claudio Bonanno, Giuseppe Clemente, Massimo D'Elia +1
The spectral projectors method is a way to obtain a theoretically well posed definition of the topological susceptibility on the lattice. Up to now this method has been defined and…
Spectral Methods and Running Scales in Causal Dynamical Triangulations
Giuseppe Clemente, Massimo D'Elia, Alessandro Ferraro
The spectrum of the Laplace-Beltrami operator, computed on the spatial slices of Causal Dynamical Triangulations, is a powerful probe of the geometrical properties of the configura…