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

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arxiv gr-qc/0212077 v2 pith:NA47XHSZ submitted 2002-12-18 gr-qc hep-th

Laurent Freidel , Etera R. Livine , Carlo Rovelli This is my paper · ORCID
classification gr-qchep-th
keywords intervalsspectrumareadiscretegravitylengthlooplorentzian
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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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Cited by 2 Pith papers

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    A 2+1 Lorentzian spin-foam cosmology model with a Hessian-derived measure and a massive scalar field yields convergent partition functions, with semi-classical expectation values only in the causally regular sector an...

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