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.
Registro:
Documento: |
Artículo
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Título: | Quantization of a generally covariant gauge system with two super Hamiltonian constraints |
Autor: | Ferraro, R.; Sforza, D.M. |
Filiación: | Institute de Astronomie y Fisica Del Espacio, Casilla de Correo 67, Sucursal 28, 1428 Buenos Aires, Argentina Departamento de Fisica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pab. I, 1428 Buenos Aires, Argentina
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Palabras clave: | article; chemical analysis; evolution; mathematics; quantitative diagnosis |
Año: | 2001
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Volumen: | 64
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Número: | 2
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DOI: |
http://dx.doi.org/10.1103/PhysRevD.64.024020 |
Título revista: | Physical Review D
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ISSN: | 05562821
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v64_n2_p_Ferraro |
Referencias:
- Dirac, P.A.M., (1964) "Lectures on Quantum Mechanics,", , Yeshiva University, NY
- Dewitt, B.S., (1967) Phys. Rev., 160, p. 1113
- Kuchar, K.V., (1993) Proceedings of the Thirteenth International Conference on General Relativity and Gravitation, p. 119. , Cordoba, Argentina, 1992, edited by R. J. Gleiser, C. N. Kozameh, and O. M. Moreschi IOP Publishing, Bristol
- Hâjîcek, P., Kuchar, 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. 044009
- 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
- D. M. Sforza, Ph.D. thesis, Universidad de Buenos Aires, 2000, gr-qc/0012111 (in Spanish); 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, 64(2).
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 64, no. 2
(2001).
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, vol. 64, no. 2, 2001.
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. 2001;64(2).
http://dx.doi.org/10.1103/PhysRevD.64.024020