Spectral Methods in Causal Dynamical Triangulations
High Energy Physics - Lattice
2019-12-25 v1 General Relativity and Quantum Cosmology
Abstract
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), discussing the behavior of the lowest lying eigenvalues of the Laplace-Beltrami operator computed on spatial slices. This kind of analysis provides information about running scales of the theory and about the critical behaviour around a possible second order transition in the CDT phase diagram, discussing the implications for the continuum limit.
Cite
@article{arxiv.1912.11311,
title = {Spectral Methods in Causal Dynamical Triangulations},
author = {Giuseppe Clemente and Massimo D'Elia and Alessandro Ferraro},
journal= {arXiv preprint arXiv:1912.11311},
year = {2019}
}
Comments
Proceeding of Science for parallel talk at the 37th International Symposium on Lattice Field Theory - Lattice2019, 16-22 June 2019, Wuhan, China