Involutions on the algebra of physical observables from reality conditions

Journal of Mathematical Physics

Volumn 37, Issue 1, 1996, Pages 196-205

  Mena Marugán, Guillermo A ^a  

^a INSTITUTO DE MATEMÁTICAS Y FÍSICA FUNDAMENTAL   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030541779     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531383     Document Type: Article

References (21)

1. A. Ashtekar, Lectures on Non-Perturbative Canonical Gravity, edited by L. Z. Fang and R. Ruffini (World Scientific, Singapore, 1991).
2. A. Ashtekar and R. S. Tate, J. Math. Phys. 35, 6434 (1994).
3. A. Ashtekar, in Gravitation and Quantizations, in Les Houches Summer School Proceedings Vol. LVII, edited by B. Julia and J. Zinn-Justin (North-Holland, Amsterdam, 1993).
4. A. Ashtekar, R. S. Tate, and C. Uggla, Int. J. Mod. Phys. D 2, 15 (1993); N. Manojlović and G. A. Mena Marugán, Phys. Rev. D 48, 3704 (1993); Int. J. Mod. Phys. D (to appear, 1995), gr-qc/9503056; G. A. Mena Marugán, Phys. Rev. D 50, 3923 (1994); Class. Quantum Gravit. 11, 2205 (1994); gr-qc/9504006.
5. A. Ashtekar, R. S. Tate, and C. Uggla, Int. J. Mod. Phys. D 2, 15 (1993); N. Manojlović and G. A. Mena Marugán, Phys. Rev. D 48, 3704 (1993); Int. J. Mod. Phys. D (to appear, 1995), gr-qc/9503056; G. A. Mena Marugán, Phys. Rev. D 50, 3923 (1994); Class. Quantum Gravit. 11, 2205 (1994); gr-qc/9504006.
6. A. Ashtekar, R. S. Tate, and C. Uggla, Int. J. Mod. Phys. D 2, 15 (1993); N. Manojlović and G. A. Mena Marugán, Phys. Rev. D 48, 3704 (1993); Int. J. Mod. Phys. D (to appear, 1995), gr-qc/9503056; G. A. Mena Marugán, Phys. Rev. D 50, 3923 (1994); Class. Quantum Gravit. 11, 2205 (1994); gr-qc/9504006.
7. A. Ashtekar, R. S. Tate, and C. Uggla, Int. J. Mod. Phys. D 2, 15 (1993); N. Manojlović and G. A. Mena Marugán, Phys. Rev. D 48, 3704 (1993); Int. J. Mod. Phys. D (to appear, 1995), gr-qc/9503056; G. A. Mena Marugán, Phys. Rev. D 50, 3923 (1994); Class. Quantum Gravit. 11, 2205 (1994); gr-qc/9504006.
8. A. Ashtekar, R. S. Tate, and C. Uggla, Int. J. Mod. Phys. D 2, 15 (1993); N. Manojlović and G. A. Mena Marugán, Phys. Rev. D 48, 3704 (1993); Int. J. Mod. Phys. D (to appear, 1995), gr-qc/9503056; G. A. Mena Marugán, Phys. Rev. D 50, 3923 (1994); Class. Quantum Gravit. 11, 2205 (1994); gr-qc/9504006.
9. G. A. Mena Marugán, Class. Quantum Gravit. 11, 589 (1994).
10. H. Kastrup and T. Thiemann, Nucl. Phys. B 399, 211 (1993); 436, 681 (1995).
11. H. Kastrup and T. Thiemann, Nucl. Phys. B 399, 211 (1993); 436, 681 (1995).
12. A. Ashtekar, V. Husain, C. Rovelli, J. Samuel, and L. Smolin, Class. Quantum Gravit. 6, L185 (1989); N. Manojlović and A. Miković, Nucl. Phys. B 385, 571 (1992).
13. A. Ashtekar, V. Husain, C. Rovelli, J. Samuel, and L. Smolin, Class. Quantum Gravit. 6, L185 (1989); N. Manojlović and A. Miković, Nucl. Phys. B 385, 571 (1992).
14. A. Ashtekar and R. Geroch, Rep. Prog. Phys. 37, 1211 (1974); A. Ashtekar, Commun. Math. Phys. 71, 59 (1980).
15. A. Ashtekar and R. Geroch, Rep. Prog. Phys. 37, 1211 (1974); A. Ashtekar, Commun. Math. Phys. 71, 59 (1980).
16. P. A. M. Dirac, Lectures on Quantum Mechanics, Belfer Graduate School of Science Monograph Series No. 2 (Yeshiva University, New York, 1964).
17. p).
18. A. Rendall, Class. Quantum Gravit. 10, 2261 (1993); Erratum: gr-qc/9403001.
19. This procedure implements a suggestion by A. Ashtekar (private communication).
20. A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourão, and T. Thiemann, gr-qc/9504018.
21. G. A. Mena Marugán, in Proceedings of the Sintra Workshop on Modern Methods in Classical and Quantum Gravity, Acta Cosmologica (to appear, 1996).