Consistency conditions for fundamentally discrete theories

Classical and Quantum Gravity

Volumn 21, Issue 1, 2004, Pages 121-143

  Bojowald, Martin ^a   Date, Ghanashyam ^b  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b INSTITUTE OF MATHEMATICAL SCIENCES   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346040330     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/21/1/009     Document Type: Article

References (22)

1. Ames W F 1992 Numerical Methods for Partial Differential Equations (New York: Academic)
2. Lee T D 1983 Phys. Lett. B 122 217 Friedberg R and Lee T D 1983 Nucl. Phys. B 225 (FS9) 1 Bender C M, Milton K A, Sharp D H, Simmons L M Jr and Stong R 1985 Phys. Rev. D 32 1476 Bender C M, Mead L R and Milton K A 1993 Preprint hep-ph/9305246 Jaroszkiewicz G and Norton K 1997 J. Phys. A: Math. Gen. 30 3115 Di Bartolo C, Gamibini R and Pullin J 2002 Class. Quantum Grav. 19 5275-96
3. Lee T D 1983 Phys. Lett. B 122 217 Friedberg R and Lee T D 1983 Nucl. Phys. B 225 (FS9) 1 Bender C M, Milton K A, Sharp D H, Simmons L M Jr and Stong R 1985 Phys. Rev. D 32 1476 Bender C M, Mead L R and Milton K A 1993 Preprint hep-ph/9305246 Jaroszkiewicz G and Norton K 1997 J. Phys. A: Math. Gen. 30 3115 Di Bartolo C, Gamibini R and Pullin J 2002 Class. Quantum Grav. 19 5275-96
4. Lee T D 1983 Phys. Lett. B 122 217 Friedberg R and Lee T D 1983 Nucl. Phys. B 225 (FS9) 1 Bender C M, Milton K A, Sharp D H, Simmons L M Jr and Stong R 1985 Phys. Rev. D 32 1476 Bender C M, Mead L R and Milton K A 1993 Preprint hep-ph/9305246 Jaroszkiewicz G and Norton K 1997 J. Phys. A: Math. Gen. 30 3115 Di Bartolo C, Gamibini R and Pullin J 2002 Class. Quantum Grav. 19 5275-96
5. Lee T D 1983 Phys. Lett. B 122 217 Friedberg R and Lee T D 1983 Nucl. Phys. B 225 (FS9) 1 Bender C M, Milton K A, Sharp D H, Simmons L M Jr and Stong R 1985 Phys. Rev. D 32 1476 Bender C M, Mead L R and Milton K A 1993 Preprint hep-ph/9305246 Jaroszkiewicz G and Norton K 1997 J. Phys. A: Math. Gen. 30 3115 Di Bartolo C, Gamibini R and Pullin J 2002 Class. Quantum Grav. 19 5275-96
6. Lee T D 1983 Phys. Lett. B 122 217 Friedberg R and Lee T D 1983 Nucl. Phys. B 225 (FS9) 1 Bender C M, Milton K A, Sharp D H, Simmons L M Jr and Stong R 1985 Phys. Rev. D 32 1476 Bender C M, Mead L R and Milton K A 1993 Preprint hep-ph/9305246 Jaroszkiewicz G and Norton K 1997 J. Phys. A: Math. Gen. 30 3115 Di Bartolo C, Gamibini R and Pullin J 2002 Class. Quantum Grav. 19 5275-96
7. Lee T D 1983 Phys. Lett. B 122 217 Friedberg R and Lee T D 1983 Nucl. Phys. B 225 (FS9) 1 Bender C M, Milton K A, Sharp D H, Simmons L M Jr and Stong R 1985 Phys. Rev. D 32 1476 Bender C M, Mead L R and Milton K A 1993 Preprint hep-ph/9305246 Jaroszkiewicz G and Norton K 1997 J. Phys. A: Math. Gen. 30 3115 Di Bartolo C, Gamibini R and Pullin J 2002 Class. Quantum Grav. 19 5275-96
8. Bojowald M, Date G and Vandersloot K 2003 Homogeneous loop quantum cosmology: the role of the spin connection Preprint gr-qc/0311004
9. Bojowald M 2003 Homogeneous loop quantum cosmology Class. Quantum Grav. 20 2595-615
10. Ashtekar A, Bojowald M and Lewandowski J 2003 Mathematical structure of loop quantum cosmology Adv. Theor. Math. Phys. 7 233-68 (Preprint gr-qc/0304074)
11. Bojowald M 2001 Dynamical initial conditions in quantum cosmology Phys. Rev. Lett. 87 121301
12. Ashtekar A, Baez J C, Corichi A and Krasnov K 1998 Quantum geometry and black hole entropy Phys. Rev. Lett. 80 904-7
13. Ashtekar A, Baez J C and Krasnov K 2001 Quantum geometry of isolated horizons and black hole entropy Adv. Theor. Math. Phys. 4 1-94
14. Bojowald M 2002 Isotropic loop quantum cosmology Class. Quantum Grav. 19 2717-41
15. DeWitt B S 1967 Quantum theory of gravity: I. The canonical theoryy Phys. Rev. 160 1113-48
16. Misner C W 1969 Quantum cosmology: I Phys. Rev. 186 1319-27
17. Bojowald M and Vandersloot K 2003 Loop quantum cosmology, boundary proposals, and inflation Phys. Rev. D 67 124023
18. Bojowald M 2001 Absence of a singularity in loop quantum cosmology Phys. Rev. Lett. 86 5227-30
19. Elaydi S N 1996 An Introduction to Difference Equations (New York: Springer)
20. Bojowald M and Hinterleitner F 2002 Isotropic loop quantum cosmology with matter Phys. Rev. D 66 104003
21. Thiemann T 1998 Quantum spin dynamics (QSD) Class. Quantum Grav. 15 839-73
22. Bojowald M 2001 The semiclassical limit of loop quantum cosmology Class. Quantum Grav. 18 L109-16