Superselection sectors in the Ashtekar-Horowitz-Boulware model

Classical and Quantum Gravity

Volumn 22, Issue 19, 2005, Pages 4007-4019

  Louko, Jorma ^a   Molgado, Alberto ^a  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 25444492289     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/22/19/012     Document Type: Article

References (26)

1. Boulware D G 1983 Comment on 'On the canonical approach to quantum gravity' Phys. Rev. D 28 414
2. Ashtekar A and Horowitz G T 1982 On the canonical approach to quantum gravity Phys. Rev. D 26 3342
3. Dirac P A M 1964 Lectures on Quantum Mechanics (New York: Belfer Graduate School of Science)
4. Henneaux M and Teitelboim C 1992 Quantization of Gauge Systems (Princeton, NJ: Princeton University Press)
5. Gotay M J 1986 Negative energy states in quantum gravity? Class. Quantum Grav. 3 487
6. Tate R S 1992 An algebraic approach to the quantization of constrained systems: finite dimensional examples PhD Dissertation Syracuse University Preprint gr-qc/9304043
7. Ashtekar A and Tate R S 1994 An algebraic extension of Dirac quantization: examples J. Math. Phys. 35 6434 (Preprint gr-qc/9405073)
8. Ashtekar A, Lewandowski J, Marolf D, Mourão J and Thiemann T 1995 Quantization of diffeomorphism invariant theories of connections with local degrees of freedom J. Math. Phys. 36 6456 (Preprint gr-qc/9504018)
9. Giulini D and Marolf D 1999 On the generality of refined algebraic quantization Class. Quantum Grav. 16 2479 (Preprint gr-qc/9902045)
10. Giulini D and Marolf D 1999 A uniqueness theorem for constraint quantization Class. Quantum Grav. 16 2489 (Preprint gr-qc/9812024)
11. Giulini D 2000 Group averaging and refined algebraic quantization Nucl. Phys. B 88 385 (Preprint gr-qc/0003040)
12. Marolf D 2002 Group averaging and refined algebraic quantization: where are we now? Proc. 9th Marcel Grossmann Meeting ed V G Gurzadyan, R T Jantzen and R Ruffini (Singapore: World Scientific) (Preprint gr-qc/0011112)
13. Gomberoff A and Marolf D 1999 On group averaging for SO(n, 1) Int. J. Mod. Phys. D 8 519 (Preprint gr-qc/9902069)
14. Louko J and Rovelli C 2000 Refined algebraic quantization in the oscillator representation of J. Math. Phys. 41 132 (Preprint gr-qc/9907004)
15. Louko J and Molgado A 2004 Group averaging in the (p, q) oscillator representation of J. Math. Phys. 45 1919 (Preprint gr-qc/0312014)
16. Louko J and Molgado A 2005 Refined algebraic quantisation with the triangular subgroup of Int. J. Mod. Phys. D 14 1131 (Preprint gr-qc/0404100)
17. Marolf D 1995 Quantum observables and recollapsing dynamics Class. Quantum Grav. 12 1199 (Preprint gr-qc/9404053)
18. Marolf D 1997 Refined algebraic quantization: systems with a single constraint Symplectic Singularities and Geometry of Gauge Fields (Warsaw: Banach Center Publications, Polish Academy of Sciences, Institute of Mathematics) (Preprint gr-qc/9508015)
19. Woodhouse N M J 1992 Geometric Quantization 2nd edn (Oxford: Clarendon)
20. Śniatycki J 1980 Geometric Quantization and Quantum Mechanics (New York: Springer)
21. Sjamaar R and Lerman E 1991 Stratified symplectic spaces and reduction Ann. Math. 134 375
22. Rieffel M A 1974 Induced representations of C* algebras Adv. Math. 13 176
23. Landsman N P 1995 Rieffel induction as generalized quantum Marsden-Weinstein reduction J. Geom. Phys. 15 285 (Preprint hep-th/9305088)
24. Landsman N P 1998 The quantization of constrained systems: from symplectic reduction to Rieffel induction Quantization, Coherent States and Poisson Structures: Proc. 15th Workshop on Geometric Methods in Physics (Białowieża) ed A Strasburger et al (Warsaw: Polish Scientific Publishers) pp 73-89 (Preprint gr-qc/9508015)
25. Louko J and Marolf D 1994 The solution space of 2+1 gravity on in Witten's connection formulation Class. Quantum Grav. 11 311 (Preprint gr-qc/9308018)
26. Lang S 1983 Real Analysis 2nd edn (Reading, MA: Addison-Wesley)