Abstract:
The Becchi-Rouet-Stora-Tyutin (BRST) operator quantization of a finite-dimensional gauge system featuring two quadratic super Hamiltonian and m linear supermomentum constraints is studied as a model for quantizing generally covariant gauge theories. The proposed model “completely” mimics the constraint algebra of general relativity. The Dirac constraint operators are identified by realizing the BRST generator of the system as a Hermitian nilpotent operator, and a physical inner product is introduced to complete a consistent quantization procedure. © 2001 The American Physical Society.
Referencias:
- P. A. M. Dirac, “Lectures on quantum mechanics,” Yeshiva University, NY, 1964; DeWitt, B.S., (1967) Phys. Rev., 160, p. 1113
- Kuchař, K.V., (1993) Proceedings of the Thirteenth International Conference on General Relativity and Gravitation, Córdoba, Argentina, 1992, p. 119. , R. J. Gleiser, C. N. Kozameh, O. M. Moreschi, IOP Publishing, Bristol
- Hájíček, P., Kuchař, K.V., (1990) Phys. Rev. D, 41, p. 1091
- Ferraro, R., Sforza, D.M., (1997) Phys. Rev. D, 55, p. 4785
- Ferraro, R., Sforza, D.M., (1999) Phys. Rev. D, 59, p. 107503
- Ferraro, R., Sforza, D.M., (2000) Nucl. Phys. B (Proc. Suppl.), 88, p. 322
- Montesinos, M., Rovelli, C., Thiemann, T., (1999) Phys. Rev. D, 60, p. 44009
- Longhi, G., Lusanna, L., (1986) Phys. Rev. D, 34, p. 3707
- Longhi, G., Lusanna, L., Pons, J.M., (1989) J. Math. Phys., 30, p. 1893
- Lusanna, L., (1997) Int. J. Mod. Phys. A, 12, p. 1339
- Henneaux, M., Teitelboim, C., (1992) Quantization of Gauge Systems, , Princeton University Press, Princeton, NJ
- Batalin, I.A., Fradkin, E.S., (1986) Riv. Nuovo Cimento, 9, p. 1
- Sforza, D.M., ; Buchbinder, I.L., Lyakhovich, S.L., (1989) Theor. Math. Phys., 81, p. 1146
Citas:
---------- APA ----------
Ferraro, R. & Sforza, D.M.
(2001)
. Quantization of a generally covariant gauge system with two super Hamiltonian constraints. Physical Review D - Particles, Fields, Gravitation and Cosmology, 64(2), 7.
http://dx.doi.org/10.1103/PhysRevD.64.024020---------- CHICAGO ----------
Ferraro, R., Sforza, D.M.
"Quantization of a generally covariant gauge system with two super Hamiltonian constraints"
. Physical Review D - Particles, Fields, Gravitation and Cosmology 64, no. 2
(2001) : 7.
http://dx.doi.org/10.1103/PhysRevD.64.024020---------- MLA ----------
Ferraro, R., Sforza, D.M.
"Quantization of a generally covariant gauge system with two super Hamiltonian constraints"
. Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 64, no. 2, 2001, pp. 7.
http://dx.doi.org/10.1103/PhysRevD.64.024020---------- VANCOUVER ----------
Ferraro, R., Sforza, D.M. Quantization of a generally covariant gauge system with two super Hamiltonian constraints. Phys Rev D Part Fields Gravit Cosmol. 2001;64(2):7.
http://dx.doi.org/10.1103/PhysRevD.64.024020