New length operator for loop quantum gravity

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 81, Issue 12, 2010, Pages

  Ma, Yongge ^a   Soo, Chopin ^b   Yang, Jinsong ^b  

^a BEIJING NORMAL UNIVERSITY   (China)

^b NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77955325625     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.81.124026     Document Type: Article

References (27)

1. T. Thiemann, Modern Canonical Quantum General Relativity (Cambridge University Press, Cambridge, England, 2007).
2. C. Rovelli, Quantum Gravity (Cambridge University Press, Cambridge, England, 2004).
3. A. Ashtekar and J. Lewandowski, Classical Quantum Gravity CQGRDG 0264-9381 21, R53 (2004). 10.1088/0264-9381/21/15/R01
4. M. Han, W. Huang, and Y. Ma, Int. J. Mod. Phys. D 16, 1397 (2007). IMPDEO 0218-2718 10.1142/S0218271807010894
5. T. Thiemann, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 39, 3372 (1998). 10.1063/1.532445
6. E. Bianchi, Nucl. Phys. NUPBBO 0550-3213 B807, 591 (2009). 10.1016/j.nuclphysb.2008.08.013
7. C. Rovelli and L. Smolin, Nucl. Phys. NUPBBO 0550-3213 B442, 593 (1995). 10.1016/0550-3213(95)00150-Q
8. A. Ashtekar and J. Lewandowski, Classical Quantum Gravity CQGRDG 0264-9381 14, A55 (1997). 10.1088/0264-9381/14/1A/006
9. A. Ashtekar and J. Lewandowski, Adv. Theor. Math. Phys. 1, 388 (1998). 1095-0761
10. T. Thiemann, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 39, 3347 (1998). 10.1063/1.532259
11. T. Thiemann, Classical Quantum Gravity CQGRDG 0264-9381 15, 839 (1998). 10.1088/0264-9381/15/4/011
12. T. Thiemann, Classical Quantum Gravity CQGRDG 0264-9381 15, 1463 (1998). 10.1088/0264-9381/15/6/005
13. J. Yang and Y. Ma, Phys. Rev. D PRVDAQ 1550-7998 80, 084027 (2009). 10.1103/PhysRevD.80.084027
14. S. Major, Classical Quantum Gravity CQGRDG 0264-9381 17, 1467 (2000). 10.1088/0264-9381/17/6/311
15. A. Ashtekar, Phys. Rev. D PRVDAQ 0556-2821 36, 1587 (1987). 10.1103/PhysRevD.36.1587
16. J.F. Barbero G., Phys. Rev. D PRVDAQ 0556-2821 51, 5507 (1995). 10.1103/PhysRevD.51.5507
17. A. Ashtekar and C.J. Isham, Classical Quantum Gravity CQGRDG 0264-9381 9, 1433 (1992). 10.1088/0264-9381/9/6/004
18. A. Ashtekar and J. Lewandowski, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 36, 2170 (1995). 10.1063/1.531037
19. J. Lewandowski, A. Okolow, H. Sahlmann, and T. Thiemann, Commun. Math. Phys. 267, 703 (2006). CMPHAY 0010-3616 10.1007/s00220-006-0100-7
20. S. Major, Classical Quantum Gravity CQGRDG 0264-9381 16, 3859 (1999). 10.1088/0264-9381/16/12/307
21. J. Brunnemann and D. Rideout, Classical Quantum Gravity CQGRDG 0264-9381 25, 065001 (2008); 10.1088/0264-9381/25/6/065001
22. J. Brunnemann D. Rideout Classical Quantum Gravity CQGRDG 0264-9381 25, 065002 (2008). 10.1088/0264-9381/25/6/065002
23. K. Giesel and T. Thiemann, Classical Quantum Gravity CQGRDG 0264-9381 23, 5667 (2006); 10.1088/0264-9381/23/18/011
24. K. Giesel T. Thiemann Classical Quantum Gravity CQGRDG 0264-9381 23, 5693 (2006). 10.1088/0264-9381/23/18/012
25. A. Tikhonov, Dokl. Akad. Nauk SSSR DANKAS 0002-3264 39, 195 (1943).
26. C. Flori and T. Thiemann, arXiv:0812.1537;
27. C. Flori, arXiv:0904.1303.