Invariance properties of induced fock measures for U(1) holonomies

Communications in Mathematical Physics

Volumn 227, Issue 3, 2002, Pages 541-550

  Velhinho, J M ^a  

^a UNIVERSITY OF BEIRA INTERIOR   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035998068     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200200628     Document Type: Article

References (27)

1. [As] Ashtekar, A.: Lectures on non-Perturbative Canonical Quatum Gravity. Singapore: World Scientific. 1991
2. [ARS] Ashtekar, A., Rovelli, C., Smolin, L. S.: Phys. Rev. D44, 1740 (1991)
3. [AR] Ashtekar, A., Rovelli, C.: Class. Quantum Grav. 9, 1121 (1992)
4. [Al1] Ashtekar, A., Isham, C. J.: Phys. Lett. B274, 393 (1992)
5. [Al2] Ashtekar, A., Isham, C. J.: Class. Quant. Grav. 9, 1433 (1992)
6. [AL1] Ashtekar, A., Lewandowski, J,: Representation Theory of Analytic Holonomy C* Algebras. In: Knots and Quantum Gravity, ed. J. Baez, Oxford: Oxford University Press, 1994
7. [AL2] Ashtekar, A., Lewandowski, J.: J. Math. Phys. 36, 2170 (1995)
8. [AL3] Ashtekar, A., Lewandowski, J.: J. Geom. Phys. 17, 191 (1995)
9. [AL4] Ashtekar, A., Lewandowski, J.: Class. Quant. Grav. 18, L117 (2001)
10. [ALMMT] Ashtekar, A., Lewandowski, J., Marolf, D., Mourão, J., Thiemann, T.: J. Math. Phys. 36, 6456 (1995)
11. [BSZ] Baez, J., Segal, I., Zhou, Z.: Introduction to Algebraic and Constructive Quantum Field Theory. Princeton: Princeton University Press, 1992
12. [Ba1] Baez, J.: Lett. Math. Phys. 31, 213 (1994)
13. [Ba2] Baez, J,: Diffeomorphism Invariant Generalized Measures on the Space of Connections Modulo Gauge Transformations. In: Proceedings of the Conference on Quantum Topology, ed. D. Yetter Singapore: World Scientific. 1994
14. [GV] Gelfand, I.M., Vilenkin. N.: Generalized Functions. Vol. IV. New York: Academic Press, 1964
15. [GT] Gambini, R., Trias, A.: Phys. Rev. D23, 553 (1981)
16. [GJ] Glimm. J., Jaffe, A.: Quantum Physic. New York: Springer Verlag, 1987
17. [Ki] Kirillov, A.A.: Elements of the Theory of Representations. Berlin: Springer Verlag, 1975
18. [MM] Marolf, D., Mourão, J.M.: Commun. Math. Phys. 170, 583 (1995)
19. [MTV] Mourão, J.M., Thiemann, T., Velhinho, J.M.: J. Math. Phys. 40, 2337 (1999)
20. [Ma] Martins, J.: Mecânica Quântica em Espaços de Conexões. Instituto Superior Técnico, 2000. Unpublished
21. [RcSi] Reed, M., Simon, B.: Methods of Modern Mathematical Physic II: Fourier Analysis, Self-Adjointeness. New York: Academic Press, 1975
22. [RoSm] Rovelli, C., Smolin, L.: Nucl. Phys, B331, 80 (1990)
23. [T] Thiemann, T.: Introduction to Modern Canonical Quantum General Relativity. To appear in "Living Reviews"
24. [Va1] Varadarjan, M.: Phys. Rev. D61, 104001 (2000)
25. [Va2] Varadarajan, M.: Phys. Rev. D64, 104003 (2001)
26. [Ve2] Velhinho, J.M.: Métodos Matemáticos em Quantização Canónica de Espaços de Fase não Triviais. Ph.D. Dissertation (Universidade Técnica de Lisboa, Instituto Superior Técnico. 2001)
27. [Ya] Yamasaki, Y.: Measures on Infinite Dimensional Spaces. Singapore: World Scientific, 1985