Spectra of Length and Area in 2+1 Lorentzian Loop Quantum Gravity

Details Spectra of Length and Area in 2+1 Lorentzian Loop Quantum Gravity Spectra of Length and Area in 2+1 Lorentzian Loop Quantum Gravity

2002-12-18

arxiv.org/abs/gr-qc/0212077v2

Class.Quant.Grav. 20 (2003) 1463-1478

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

RevTex, 13 pages, v2: references added

Scientific paper

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.

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