Abstract:
Weyl's theorem is extended making use of the theory of concomitants to obtain a Lagrangian density for the massless bosonic fields without dimensional constants. It turns out to be quadratic in the gravitational field and encompasses all the theories that usually appear in the literature. It is shown that the gauge invariance of the Lagrangian follows from the invariance of the field equations. © 1987 American Institute of Physics.
Registro:
Documento: |
Artículo
|
Título: | On a Weyl-type theorem for higher-order Lagrangians |
Autor: | Castagnino, M.; Domenech, G.; Noriega, R.J.; Schifini, C.G. |
Filiación: | Instituto de Astronomía y Física del Espacio (CONICET), C.Correo 67, Suc. 28, CP 1428, Buenos Aires, Argentina Instituto de Física de Rosario (CONICET-UNR), Av. Pellegrini 250, CP 2000, Rosario, Pcia, de Santa Fe, Argentina Departamento de Matemáticas, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Buenos Aires, Argentina
|
Año: | 1987
|
Volumen: | 28
|
Número: | 8
|
Página de inicio: | 1854
|
Página de fin: | 1857
|
DOI: |
http://dx.doi.org/10.1063/1.527447 |
Título revista: | Journal of Mathematical Physics
|
ISSN: | 00222488
|
PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00222488_v28_n8_p1854_Castagnino.pdf |
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v28_n8_p1854_Castagnino |
Referencias:
- Weyl, H., (1922) Space-Time Matter, , (Dover, New York), Appendix
- Nissani, N., (1985) Phys. Rev. D, 31, p. 1489
- van Nieuwenhuizen, P., (1981) Phys. Rep., 68, p. 189
- Batakis, N.A., (1982) Phys. Lett. A, 90, p. 115
- Adler, S.L., (1982) Rev. Mod. Phys., 54, p. 729
- Birrel, N.D., Davies, P.C., (1983) Quantum Fields in Curved Space, , (Cambridge U.P., Cambridge)
- Cartan, E., (1922) J. Math. Pure Appl., 1, p. 141
- Thomas, T.J., (1934) Differential Invariants of Generalized Spaces, , (Cambridge U.P., Cambridge)
- Prelat, D., Tensorial concomitants of a metric and a convector Utilitas Math., , to appear in
- Noriega, R.J., Schifini, C.G., (1986) Gen. Relativ. Gravit., 18, p. 983
- Brans, C., Dicke, R.H., (1961) Phys. Rev., 124, p. 125
- Whitt, B., (1984) Phys. Lett. B, 154, p. 176
- Strominger, A., (1984) Phys. Rev. D, 30, p. 2257
Citas:
---------- APA ----------
Castagnino, M., Domenech, G., Noriega, R.J. & Schifini, C.G.
(1987)
. On a Weyl-type theorem for higher-order Lagrangians. Journal of Mathematical Physics, 28(8), 1854-1857.
http://dx.doi.org/10.1063/1.527447---------- CHICAGO ----------
Castagnino, M., Domenech, G., Noriega, R.J., Schifini, C.G.
"On a Weyl-type theorem for higher-order Lagrangians"
. Journal of Mathematical Physics 28, no. 8
(1987) : 1854-1857.
http://dx.doi.org/10.1063/1.527447---------- MLA ----------
Castagnino, M., Domenech, G., Noriega, R.J., Schifini, C.G.
"On a Weyl-type theorem for higher-order Lagrangians"
. Journal of Mathematical Physics, vol. 28, no. 8, 1987, pp. 1854-1857.
http://dx.doi.org/10.1063/1.527447---------- VANCOUVER ----------
Castagnino, M., Domenech, G., Noriega, R.J., Schifini, C.G. On a Weyl-type theorem for higher-order Lagrangians. 1987;28(8):1854-1857.
http://dx.doi.org/10.1063/1.527447