A semiclassical tetrahedron

Classical and Quantum Gravity

Volumn 23, Issue 20, 2006, Pages 5861-5870

  Rovelli, Carlo ^a,b   Speziale, Simone ^a,b  

^a CNRS   (France)

^b PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33749061251     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/23/20/008     Document Type: Article

References (22)

1. Rovelli C and Smolin L 1995 Discreteness of area and volume in quantum gravity Nucl. Phys. B 442 593
2. Rovelli C and Smolin L 1995 Nucl. Phys. B 456 734 (Erratum)
3. Ashtekar A and Lewandowski J 1997 Quantum theory of geometry I: area operators Class. Quantum Grav. 14 A55
4. Ashtekar A and Lewandowski J 1997 Quantum theory of geometry II: volume operators Adv. Theor. Math. Phys. 1 388-429
5. Major S A and Seifert M D 2002 Modelling space with an atom of quantum geometry Class. Quantum Grav. 19 2211 (Preprint gr-qc/0109056)
6. Rovelli C 2004 Quantum Gravity (Cambridge: Cambridge University Press)
7. Barbieri A 1998 Quantum tetrahedra and simplicial spin networks Nucl. Phys. B 518 714 (Preprint gr-qc/9707010)
8. Baez J C and Barrett J W 1999 The quantum tetrahedron in 3 and 4 dimensions Adv. Theor. Math. Phys. 3 815 (Preprint gr-qc/9903060)
9. Rovelli C 2005 Graviton propagator from background-independent quantum gravity Preprint gr-qc/0508124
10. Speziale S 2006 Towards the graviton from spinfoams: the 3d toy model J. High Energy Phys. JHEP05(2006)039 (Preprint gr-qc/0512102)
11. Bianchi E, Modesto L, Rovelli C and Speziale S 2006 Graviton propagator in loop quantum gravity Preprint gr-qc/0604044
12. Livine E R, Speziale S and Willis J L 2006 Towards the graviton from spinfoams: higher order corrections in the 3d toy model Preprint gr-qc/0605123
13. De Pietri R and Rovelli C 1996 Geometry eigenvalues and scalar product from recoupling theory in loop quantum gravity Phys. Rev. D 54 2664 (Preprint gr-qc/9602023)
14. Sahlmann H, Thiemann T and Winkler O 2001 Coherent states for canonical quantum general relativity and the infinite tensor product extension Nucl. Phys. B 606 401 (Preprint gr-qc/0102038)
15. Bombelli L, Corichi A and Winkler O 2005 Semiclassical quantum gravity: statistics of combinatorial Riemannian geometries Ann. Phys., Lpz. 14 499 (Preprint gr-qc/0409006)
16. Ashtekar A, Bombelli L and Corichi A 2005 Semiclassical states for constrained systems Phys. Rev. D 72 025008 (Preprint gr-qc/0504052)
17. Ponzano G and Regge T 1968 Semiclassical limit of Racah coefficients Spectroscopy and Group Theoretical Methods in Physics ed F Bloch (Amsterdam: North-Holland)
18. Roberts J D 1999 Classical 6j-symbols and the tetrahedron Geom. Topology 3 21-66 (Preprint math-ph/9812013)
19. Barrett J W and Steele C M 2003 Asymptotics of relativistic spin networks Class. Quantum Grav. 20 1341 (Preprint gr-qc/0209023)
20. Freidel L and Louapre D 2003 Asymptotics of 6j and 10j symbols Class. Quantum Grav. 20 1267 (Preprint hep-th/0209134)
21. Carbone G, Carfora M and Marzuoli A 2002 Quantum states of elementary three-geometry Class. Quantum Grav. 19 3761 (Preprint gr-qc/0112043)
22. Brunnemann J and Thiemann T 2006 Simplification of the spectral analysis of the volume operator in loop quantum gravity Class. Quantum Grav. 23 1289 (Preprint gr-qc/0405060)