Artículo
Barci, D.G.; Oxman, L.E.; Rocca, M. "Canonical quantization of nonlocal field equations" (1996) International Journal of Modern Physics A. 11(12):2111-2126
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Abstract:
We consistently quantize a class of relativistic nonlocal field equations characterized by a nonlocal kinetic term in the Lagrangian. We solve the classical nonlocal equations of motion for a scalar field and evaluate the on-shell Hamiltonian. The quantization is realized by imposing Heisenberg's equation, which leads to the commutator algebra obeyed by the Fourier components of the field. We show that the field operator carries, in general, a reducible representation of the Poincaré group. We also consider the Gupta-Bleuler quantization of a nonlocal gauge theory and analyze the propagators and the physical modes of the gauge field.
Registro:
| Documento: | Artículo |
| Título: | Canonical quantization of nonlocal field equations |
| Autor: | Barci, D.G.; Oxman, L.E.; Rocca, M. |
| Filiación: | Instituto de Física, Univ. Federal do Rio de Janeiro, C.P. 68528, Rio de Janeiro, RJ, 21945-970, Brazil Departamento de Física, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428, Buenos Aires, Argentina Departamento de Física, Universidad Nacional de La Plata, C.C. 67, 1900 La Plata, Argentina |
| Año: | 1996 |
| Volumen: | 11 |
| Número: | 12 |
| Página de inicio: | 2111 |
| Página de fin: | 2126 |
| DOI: | http://dx.doi.org/10.1142/S0217751X96001061 |
| Título revista: | International Journal of Modern Physics A |
| Título revista abreviado: | Int. J. Mod. Phys. A |
| ISSN: | 0217751X |
| CODEN: | IMPAE |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0217751X_v11_n12_p2111_Barci |
Referencias:
- Feynman, R.P., Wheeler, J.A., (1945) Rev. Mod. Phys., 17, p. 157
- Pais, A., Uhlembeck, G.E., (1950) Phys. Rev., 79, p. 145
- Volkov, M.K., Efimov, G.V., (1980) Sov. Phys. Usp., 23, p. 94
- Krasnikov, N.V., (1987) Theor. Math. Phys., 73, p. 1184
- Eliezer, D.A., Woodard, R.P., (1989) Nucl. Phys., B325, p. 389
- Hata, H., (1990) Nucl. Phys., B329, p. 698
- Bollini, C.G., Giambiagi, J.J., (1964) Il Nuovo Cimento, 31, p. 550
- Bollini, C.G., Giambiagi, J.J., (1972) Il Nuovo Cimento, B12, p. 20
- 'T Hooft, G., Veltman, M.J.G., (1972) Nucl. Phys., B44, p. 189
- Pauli, W., Villars, F., (1949) Rev. Mod. Phys., 21, p. 434
- Barviasky, A.O., Vilkovisky, C.A., (1987) Nucl. Phys., B282, p. 163
- (1990) Nucl. Phys., B333, p. 471
- Dalvit, D.A.R., Mazzitelli, F.D., (1994) Phys. Rev., D50, p. 1001
- Bollini, C.G., Giambiagi, J.J., (1993) J. Math. Phys., 34, p. 610
- Giambiagi, J.J., Huyghens Principle in 2n + 1 Dimensions for Nonlocal Pseudodifferential Operators of the Type □α, , preprint Notas de Física CBPF-NF-025/91
- Marino, E.C., (1991) Phys. Lett., B263, p. 63
- Marino, E.C., (1993) Nucl. Phys., B408 (FS), p. 551
- Barcelos Neto, J., Braga, N.R.F., (1989) Acta Phys. Pol., 20, p. 205
- Barci, D.G., Bollini, C.G., Rocca, M., Tachyons and higher order wave equations Int. J. Mod. Phys. A.
- Barci, D.G., Bollini, C.G., Oxman, L.E., Rocca, M., (1994) Int. J. Mod. Phys., A9, p. 4169
- Bollini, C.G., Oxman, L.E., (1992) Int. J. Mod. Phys., A7, p. 6845
- Barci, D.G., Oxman, L.E., (1994) Int. J. Mod. Phys., A9, p. 2103
- Bollini, C.G., Oxman, L.E., Rocca, M., Space of test functions for higher order field theories J. Math. Phys.
- Amaral, R.L.P.G., Marino, E.C., (1992) J. Phys., A25, p. 5183
- Barci, D.G., Bollini, C.G., Rocca, M., Quantization of a six-dimensional Wess-Zumino model Il Nuovo Cimento
- Bollini, C.G., Giambiagi, J.J., (1987) Rev. Bras. de Física, 17, p. 14
- Gelfand, I.M., Shilov, G.E., (1964) Generalized Functions, 1. , Academic
Citas:
---------- APA ----------
Barci, D.G., Oxman, L.E. & Rocca, M. (1996) . Canonical quantization of nonlocal field equations. International Journal of Modern Physics A, 11(12), 2111-2126.http://dx.doi.org/10.1142/S0217751X96001061
---------- CHICAGO ----------
Barci, D.G., Oxman, L.E., Rocca, M. "Canonical quantization of nonlocal field equations" . International Journal of Modern Physics A 11, no. 12 (1996) : 2111-2126.http://dx.doi.org/10.1142/S0217751X96001061
---------- MLA ----------
Barci, D.G., Oxman, L.E., Rocca, M. "Canonical quantization of nonlocal field equations" . International Journal of Modern Physics A, vol. 11, no. 12, 1996, pp. 2111-2126.http://dx.doi.org/10.1142/S0217751X96001061
---------- VANCOUVER ----------
Barci, D.G., Oxman, L.E., Rocca, M. Canonical quantization of nonlocal field equations. Int. J. Mod. Phys. A. 1996;11(12):2111-2126.http://dx.doi.org/10.1142/S0217751X96001061
