Spectra of Length and Area in 2+1 Lorentzian Loop Quantum Gravity
General Relativity and Quantum Cosmology
2014-11-17 v2 High Energy Physics - Theory
Abstract
We study the spectrum of the length and area operators in Lorentzian loop quantum gravity, in 2+1 spacetime dimensions. We find that the spectrum of spacelike intervals is continuous, whereas the spectrum of timelike intervals is discrete. This result contradicts the expectation that spacelike intervals are always discrete. On the other hand, it is consistent with the results of the spin foam quantization of the same theory.
Cite
@article{arxiv.gr-qc/0212077,
title = {Spectra of Length and Area in 2+1 Lorentzian Loop Quantum Gravity},
author = {Laurent Freidel and Etera R. Livine and Carlo Rovelli},
journal= {arXiv preprint arXiv:gr-qc/0212077},
year = {2014}
}
Comments
RevTex, 13 pages, v2: references added