Quantum theory of geometry: III. Non-commutativity of Riemannian structures

Classical and Quantum Gravity

Volumn 15, Issue 10, 1998, Pages 2955-2972

  Ashtekar, Abhay ^a,c   Corichi, Alejandro ^a,b   Zapata, José A ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b INSTITUTO DE CIENCIAS NUCLEARES   (Mexico)

^c Erwin Schrodinger International Institute for Mathematical Physics   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032334342     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/15/10/006     Document Type: Article

References (30)

1. Ashtekar A and Lewandowski J 1997 Class. Quantum Grav. 14 A55
2. Ashtekar A and Lewandowski J 1998 Adv. Theor. Math. Phys. 1 388
3. Ashtekar A and Isham C J 1992 Class. Quantum Grav. 9 1433
4. Ashtekar A and Lewandowski J 1994 Knots and Quantum Gravity ed J C Baez (Oxford: Oxford University Press)
5. Baez J 1994 Lett. Math. Phys. 31 213 Baez J Diffeomorphism invariant generalized measures on the space of connections modulo gauge transformations Proc. Conf. on Quantum Topology ed D Yetter (Singapore: World Scientific) Preprint hep-th/9305045
6. Baez J 1994 Lett. Math. Phys. 31 213 Baez J Diffeomorphism invariant generalized measures on the space of connections modulo gauge transformations Proc. Conf. on Quantum Topology ed D Yetter (Singapore: World Scientific) Preprint hep-th/9305045
7. Ashtekar A and Lewandowski J 1995 J. Math. Phys. 36 2170
8. Marolf D and Mourão J M 1995 Commun. Math. Phys. 170 583
9. Ashtekar A and Lewandowski J 1995 J. Geom. Phys. 17 191
10. Baez J and Sawin S 1995 Functional integration on spaces of connections Preprint q-alg/9507023 Lewandowski J and Thiemann T in preparation
11. De Pietri R 1997 Class. Quantum Grav. 14 53
12. Rovelli C and Smolin L 1995 Phys. Rev. D 52 5743
13. Baez J 1996 Spin network states in gauge theory Adv. Math. 117 253 Baez J 1996 Spin networks in non-perturbative quantum gravity Interface of Knot Theory and Physics ed L Kauffman (Providence, RI: American Mathematical Society)
14. Baez J 1996 Spin network states in gauge theory Adv. Math. 117 253 Baez J 1996 Spin networks in non-perturbative quantum gravity Interface of Knot Theory and Physics ed L Kauffman (Providence, RI: American Mathematical Society)
15. Ashtekar A, Lewandowski J, Marolf D, Mourão J and Thiemann T 1996 J. Funct. Anal. 135 519
16. Ashtekar A, Lewandowski J, Marolf D, Mourão J and Thiemann T 1995 J. Math. Phys. 36 6456
17. Rovelli C and Smolin L 1990 Nucl. Phys. B 331 80
18. Thiemann T 1998 J. Math. Phys. 39 3372
19. Rovelli C and Smolin L 1995 Nucl. Phys. B 442 593
20. De Pietri R and Rovelli C 1996 Phys. Rev. D 54 2664
21. Fritelli S, Lehner L and Rovelli C 1996 Class. Quantum Grav. 13 2921
22. Loll R 1996 Nucl. Phys. B 460 143
23. Zapata JA 1997 J. Math. Phys. 38 5663
24. Kolmogorov A N 1936 Foundations of the Theory of Probability (New York: Chelsea)
25. Ashtekar A, Lewandowski J, Marolf D, Mourão J and Thiemann T 1994 Geometry of Constrained Dynamical Systems ed J Charap (Cambridge: Cambridge University Press)
26. Jacobson T and Smolin L 1988 Nucl. Phys. B 299 295
27. Geroch R 1974 Geometrical Quantum Mechanics Lecture Notes University of Chicago (unpublished) Ashtekar A 1980 Commun. Math. Phys. 71 59
28. Geroch R 1974 Geometrical Quantum Mechanics Lecture Notes University of Chicago (unpublished) Ashtekar A 1980 Commun. Math. Phys. 71 59
29. Ashtekar A and Tate R S 1994 J. Math. Phys 34 6434
30. Amelino-Camelia G 1998 Mod. Phys. Lett. A 13 1155