Geometry of loop quantum gravity on a graph
Abstract
We discuss the meaning of geometrical constructions associated to loop quantum gravity states on a graph. In particular, we discuss the “twisted geometries” and derive a simple relation between these and Regge geometries.
- Publication:
-
Physical Review D
- Pub Date:
- August 2010
- DOI:
- 10.1103/PhysRevD.82.044018
- arXiv:
- arXiv:1005.2927
- Bibcode:
- 2010PhRvD..82d4018R
- Keywords:
-
- 04.60.Pp;
- 04.60.Nc;
- Loop quantum gravity quantum geometry spin foams;
- Lattice and discrete methods;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- 6 pages, 1 figure. v2: some typos corrected, references updated