Spectral Methods in Causal Dynamical Triangulations

2019/12/24 by Giuseppe Clemente, Clemente, Giuseppe, Massimo D'Elia +3
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Lattice (hep-lat) #gr-qc #hep-lat

paper · pdf · doi:10.48550/arxiv.1912.11311

Proceeding of Science for parallel talk at the 37th International Symposium on Lattice Field Theory - Lattice2019, 16-22 June 2019, Wuhan, China

arxiv created 2019/12/24 · arxiv updated 2019/12/25

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.

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