Symmetry reduction for quantized diffeomorphism-invariant theories of connections

Classical and Quantum Gravity

Volumn 17, Issue 15, 2000, Pages 3009-3043

  Bojowald, M ^a   Kastrup, H A ^a  

^a RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034336175     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/17/15/311     Document Type: Article

References (76)

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9. Rovelli C and Smolin L 1995 Discreteness of area and volume in quantum gravity Nucl. Phys. B 442 593-619 Rovelli C and Smolin L Nucl. Phys. B 456 753 Loll R 1995 The volume operator in discretized quantum gravity Phys. Rev. Lett. 75 3048-51 Loll R 1996 Spectrum of the volume operator in quantum gravity Nucl. Phys. B 460 143-54 De Pietri R and Rovelli C 1996 Geometry eigenvalues and scalar product from recoupling theory in loop quantum gravity Phys. Rev. D 54 2664-90 Frittelli S, Lehner L and Rovelli C 1996 The complete spectrum of the area from recoupling theory in loop quantum gravity Class. Quantum Grav. 13 2921-32 De Pietri R 1997 On the relation between the connection and the loop representation of quantum gravity Class. Quantum Grav. 14 53-70
10. Rovelli C and Smolin L 1995 Discreteness of area and volume in quantum gravity Nucl. Phys. B 442 593-619 Rovelli C and Smolin L Nucl. Phys. B 456 753 Loll R 1995 The volume operator in discretized quantum gravity Phys. Rev. Lett. 75 3048-51 Loll R 1996 Spectrum of the volume operator in quantum gravity Nucl. Phys. B 460 143-54 De Pietri R and Rovelli C 1996 Geometry eigenvalues and scalar product from recoupling theory in loop quantum gravity Phys. Rev. D 54 2664-90 Frittelli S, Lehner L and Rovelli C 1996 The complete spectrum of the area from recoupling theory in loop quantum gravity Class. Quantum Grav. 13 2921-32 De Pietri R 1997 On the relation between the connection and the loop representation of quantum gravity Class. Quantum Grav. 14 53-70
11. Rovelli C and Smolin L 1995 Discreteness of area and volume in quantum gravity Nucl. Phys. B 442 593-619 Rovelli C and Smolin L Nucl. Phys. B 456 753 Loll R 1995 The volume operator in discretized quantum gravity Phys. Rev. Lett. 75 3048-51 Loll R 1996 Spectrum of the volume operator in quantum gravity Nucl. Phys. B 460 143-54 De Pietri R and Rovelli C 1996 Geometry eigenvalues and scalar product from recoupling theory in loop quantum gravity Phys. Rev. D 54 2664-90 Frittelli S, Lehner L and Rovelli C 1996 The complete spectrum of the area from recoupling theory in loop quantum gravity Class. Quantum Grav. 13 2921-32 De Pietri R 1997 On the relation between the connection and the loop representation of quantum gravity Class. Quantum Grav. 14 53-70
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38. n = σ √n Ep Phys. Lett. B 413 267-73 To the list of papers discussing the spectrum (36) mentioned in this reference the following ones should be added: Brotz T and Kiefer C 1996 Semiclassical black hole states and entropy Phys. Rev. D 55 2186-91 Vaz C and Witten L 1999 Mass quantization of the Schwarzschild Black Hole Phys. Rev. D 60 024009 Hod S 1998 Bohr's correspondence principle and the area spectrum of quantum black holes Phys. Rev. Lett. 81 4293-6 Mäkelä J and Repo P 1998 How to interpret black hole entropy? Preprint gr-qc/9812075 Hod S 1999 Best approximation to a reversible process in black-hole physics and the area spectrum of spherical black holes Phys. Rev. D 59 024014 Vaz C 2000 Canonical quantization, conformal fields and the statistical entropy of the Schwarzschild black hole Phys. Rev. D 61 064017 Gour G 2000 Quantum mechanics of a black hole Phys. Rev. D 61 124007
39. n = σ √n Ep Phys. Lett. B 413 267-73 To the list of papers discussing the spectrum (36) mentioned in this reference the following ones should be added: Brotz T and Kiefer C 1996 Semiclassical black hole states and entropy Phys. Rev. D 55 2186-91 Vaz C and Witten L 1999 Mass quantization of the Schwarzschild Black Hole Phys. Rev. D 60 024009 Hod S 1998 Bohr's correspondence principle and the area spectrum of quantum black holes Phys. Rev. Lett. 81 4293-6 Mäkelä J and Repo P 1998 How to interpret black hole entropy? Preprint gr-qc/9812075 Hod S 1999 Best approximation to a reversible process in black-hole physics and the area spectrum of spherical black holes Phys. Rev. D 59 024014 Vaz C 2000 Canonical quantization, conformal fields and the statistical entropy of the Schwarzschild black hole Phys. Rev. D 61 064017 Gour G 2000 Quantum mechanics of a black hole Phys. Rev. D 61 124007
40. n = σ √n Ep Phys. Lett. B 413 267-73 To the list of papers discussing the spectrum (36) mentioned in this reference the following ones should be added: Brotz T and Kiefer C 1996 Semiclassical black hole states and entropy Phys. Rev. D 55 2186-91 Vaz C and Witten L 1999 Mass quantization of the Schwarzschild Black Hole Phys. Rev. D 60 024009 Hod S 1998 Bohr's correspondence principle and the area spectrum of quantum black holes Phys. Rev. Lett. 81 4293-6 Mäkelä J and Repo P 1998 How to interpret black hole entropy? Preprint gr-qc/9812075 Hod S 1999 Best approximation to a reversible process in black-hole physics and the area spectrum of spherical black holes Phys. Rev. D 59 024014 Vaz C 2000 Canonical quantization, conformal fields and the statistical entropy of the Schwarzschild black hole Phys. Rev. D 61 064017 Gour G 2000 Quantum mechanics of a black hole Phys. Rev. D 61 124007
41. n = σ √n Ep Phys. Lett. B 413 267-73 To the list of papers discussing the spectrum (36) mentioned in this reference the following ones should be added: Brotz T and Kiefer C 1996 Semiclassical black hole states and entropy Phys. Rev. D 55 2186-91 Vaz C and Witten L 1999 Mass quantization of the Schwarzschild Black Hole Phys. Rev. D 60 024009 Hod S 1998 Bohr's correspondence principle and the area spectrum of quantum black holes Phys. Rev. Lett. 81 4293-6 Mäkelä J and Repo P 1998 How to interpret black hole entropy? Preprint gr-qc/9812075 Hod S 1999 Best approximation to a reversible process in black-hole physics and the area spectrum of spherical black holes Phys. Rev. D 59 024014 Vaz C 2000 Canonical quantization, conformal fields and the statistical entropy of the Schwarzschild black hole Phys. Rev. D 61 064017 Gour G 2000 Quantum mechanics of a black hole Phys. Rev. D 61 124007
42. n = σ √n Ep Phys. Lett. B 413 267-73 To the list of papers discussing the spectrum (36) mentioned in this reference the following ones should be added: Brotz T and Kiefer C 1996 Semiclassical black hole states and entropy Phys. Rev. D 55 2186-91 Vaz C and Witten L 1999 Mass quantization of the Schwarzschild Black Hole Phys. Rev. D 60 024009 Hod S 1998 Bohr's correspondence principle and the area spectrum of quantum black holes Phys. Rev. Lett. 81 4293-6 Mäkelä J and Repo P 1998 How to interpret black hole entropy? Preprint gr-qc/9812075 Hod S 1999 Best approximation to a reversible process in black-hole physics and the area spectrum of spherical black holes Phys. Rev. D 59 024014 Vaz C 2000 Canonical quantization, conformal fields and the statistical entropy of the Schwarzschild black hole Phys. Rev. D 61 064017 Gour G 2000 Quantum mechanics of a black hole Phys. Rev. D 61 124007
43. n = σ √n Ep Phys. Lett. B 413 267-73 To the list of papers discussing the spectrum (36) mentioned in this reference the following ones should be added: Brotz T and Kiefer C 1996 Semiclassical black hole states and entropy Phys. Rev. D 55 2186-91 Vaz C and Witten L 1999 Mass quantization of the Schwarzschild Black Hole Phys. Rev. D 60 024009 Hod S 1998 Bohr's correspondence principle and the area spectrum of quantum black holes Phys. Rev. Lett. 81 4293-6 Mäkelä J and Repo P 1998 How to interpret black hole entropy? Preprint gr-qc/9812075 Hod S 1999 Best approximation to a reversible process in black-hole physics and the area spectrum of spherical black holes Phys. Rev. D 59 024014 Vaz C 2000 Canonical quantization, conformal fields and the statistical entropy of the Schwarzschild black hole Phys. Rev. D 61 064017 Gour G 2000 Quantum mechanics of a black hole Phys. Rev. D 61 124007
44. n = σ √n Ep Phys. Lett. B 413 267-73 To the list of papers discussing the spectrum (36) mentioned in this reference the following ones should be added: Brotz T and Kiefer C 1996 Semiclassical black hole states and entropy Phys. Rev. D 55 2186-91 Vaz C and Witten L 1999 Mass quantization of the Schwarzschild Black Hole Phys. Rev. D 60 024009 Hod S 1998 Bohr's correspondence principle and the area spectrum of quantum black holes Phys. Rev. Lett. 81 4293-6 Mäkelä J and Repo P 1998 How to interpret black hole entropy? Preprint gr-qc/9812075 Hod S 1999 Best approximation to a reversible process in black-hole physics and the area spectrum of spherical black holes Phys. Rev. D 59 024014 Vaz C 2000 Canonical quantization, conformal fields and the statistical entropy of the Schwarzschild black hole Phys. Rev. D 61 064017 Gour G 2000 Quantum mechanics of a black hole Phys. Rev. D 61 124007
45. n = σ √n Ep Phys. Lett. B 413 267-73 To the list of papers discussing the spectrum (36) mentioned in this reference the following ones should be added: Brotz T and Kiefer C 1996 Semiclassical black hole states and entropy Phys. Rev. D 55 2186-91 Vaz C and Witten L 1999 Mass quantization of the Schwarzschild Black Hole Phys. Rev. D 60 024009 Hod S 1998 Bohr's correspondence principle and the area spectrum of quantum black holes Phys. Rev. Lett. 81 4293-6 Mäkelä J and Repo P 1998 How to interpret black hole entropy? Preprint gr-qc/9812075 Hod S 1999 Best approximation to a reversible process in black-hole physics and the area spectrum of spherical black holes Phys. Rev. D 59 024014 Vaz C 2000 Canonical quantization, conformal fields and the statistical entropy of the Schwarzschild black hole Phys. Rev. D 61 064017 Gour G 2000 Quantum mechanics of a black hole Phys. Rev. D 61 124007
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