The complete spectrum of the area from recoupling theory in loop quantum gravity

Classical and Quantum Gravity

Volumn 13, Issue 11, 1996, Pages 2921-2931

  Frittelli, Simonetta ^a   Lehner, Luis ^a   Rovelli, Carlo ^a  

^a UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21444443540     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/13/11/008     Document Type: Article

References (32)

1. Rovelli C and Smolin L 1988 Knot theory and quantum gravity Phys. Rev. Lett. 61 1155-8;
2. 1990 Loop space representation of quantum general relativity Nucl. Phys. B 331 80-152
3. For various perspectives on loop quantum gravity, see: Rovelli C 1991 Ashtekar formulation of general relativity and loop space non-perturbative quantum gravity: a report Class. Quantum Grav. 8 1613-75
4. Ashtekar A 1995 Gravitation and Quantization (Les Houches 1992) ed B Julia and J Zinn-Justin (Paris: Elsevier)
5. Smolin L 1992 Quantum Gravity and Cosmology ed J Perez-Mercader, J Sola and E Verdaguer (Singapore: World Scientific)
6. Ashtekar A, Rovelli C and Smolin L 1992 Weaving a classical metric with quantum threads Phys. Rev. Lett. 69 237-40
7. Rovelli C and Smolin L 1995 Discreteness of area and volume in quantum gravity Nucl. Phys. B 442 593-619
8. Rovelli C 1993 A generally covariant quantum theory and a prediction on quantum measurements of geometry Nucl. Phys. B 405 797-816
9. DePietri R and Rovelli C 1996 Geometry eigenvalues and scalar product from recoupling theory in loop quantum gravity Phys. Rev. D 54 2664
10. Ashtekar A and Lewandowski J 1996 Quantum theory of geometry I: area operator Preprint gr-qc/9602046
11. Garay L 1995 Quantum gravity and minimum length Int. J. Mod. Phys. A 10 145-65
12. For an overview of current ideas on quantum gravity and quantum geometry, see: Isham C J 1995 Structural issues in quantum gravity lecture at the GR14 meeting (Florence) Preprint gr-qc/9510063;
13. 1995 Quantum Geometry and Diffeomorphism Invariant Quantum Field Theory special issue J. Math. Phys. ed C Rovelli and L Smolin
14. Barreira M, Carfora M and Rovelli C 1996 Physics from nonperturbative quantum gravity: radiation from a quantum black hole Gen. Rel. Grav. gr-qc/9603064, to appear
15. Rovelli C 1996 Black hole entropy from loop quantum gravity Preprint gr-qc/9603063
16. Ashtekar A and Isham C J 1992 Representation of the holonomy algebras of gravity and non-Abelian gauge theories Class. Quantum Grav. 9 1433-67
17. Ashtekar A and Lewandowski J 1994 Knots and Quantum Gravity ed J Baez (Oxford: Oxford University Press) pp 21-61;
18. 1995 Projective techniques and functional integration for gauge theories J. Math. Phys. 36 2170-91;
19. 1995 J. Geom. Phys. 17 191-210
20. Baez J 1994 Generalized measures in gauge theory Lett. Math. Phys. 31 213-23;
21. 1994 Proc. Conf. on Quantum Topology ed D Yetter (Singapore: World Scientific)
22. Marolf D and Mourão J M 1995 On the support of the Ashtekar-Lewandowski measure Commun. Math. Phys. 170 583-605
23. Ashtekar A, Lewandowski J, Marolf D, Mourão J M and Thiemann T 1995 Quantization of diffeomorphism invariant theories of connections J. Math. Phys. 36 6456-95;
24. 1996 Coherent-state transforms for spaces of connections J. Funct. Anal. 135 519-51
25. Lewandowski J 1996 Volume and quantizations Preprint gr-qc/9602035
26. DePietri R 1996 On the relation between the connection and the loop representation of quantum gravity Parma University Preprint gr-qc/9605064
27. Major S and Smolin L 1995 Quantum deformations of quantum gravity Preprint gr-qc/9512020
28. Borissov R, Major S and Smolin L 1995 The geometry of quantum spin networks Preprint gr-qc/9512043
29. Kauffman L H and Lins S L 1991 Temperley-Lieb Recoupling Theory and Invariants of 3-manifolds (Princeton, NJ: Princeton University Press)
30. Rovelli C and Smolin L 1995 Spin networks and quantum gravity Phys. Rev. D 52 5743-59
31. See also: Baez J 1996 Spin network states in gauge theory Adv. Math. 117 253-72;
32. 1995 Spin networks in non-perturbative quantum gravity Preprint gr-qc/9504036