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Abstract:

We derive the family of all Hadamard symmetric kernels for a quantum massive scalar field propagating at a classical curved background, which can be constructed in terms of purely local geometric quantities. No such kernal exists in the massless limit, unless "restricted geometric objects", which only have a meaning at conformally flat metrics, are used in its construction. We discuss the relation of this result with the anomalous trace of the renormalized vacuum expectation value of the energy-momentum tensor in the case of conformal triviality. Trace anomaly is shown to be inevitable, if the renormalization recipe is defined in terms of purely geometric quantities, as a consequence of the inexistence of a geometric generalization encompassing every possible space-time of the well-known conformal-vacuum at Robertson-Walker universes. © 1984.

Registro:

Documento: Artículo
Título:Hadamard renormalization in curved space-time
Autor:Castagnino, M.A.; Harari, D.D.
Filiación:Instituto de Física de Rosario, Av. Pellegrini 250, 2000 Rosario, Argentina
Instituto de Astronomía y Física del Espacio, Casilla de Correo 67, Sucursal 28, 1428 Buenos Aires, Argentina
Instituto de Astronomía y Física del Espacio, Casilla de Correo 67, Sucursal 28, 1428 Buenos Aires, Argentina
Año:1984
Volumen:152
Número:1
Página de inicio:85
Página de fin:104
DOI: http://dx.doi.org/10.1016/0003-4916(84)90081-2
Título revista:Annals of Physics
Título revista abreviado:Ann. Phys.
ISSN:00034916
CODEN:APNYA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00034916_v152_n1_p85_Castagnino

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Citas:

---------- APA ----------
Castagnino, M.A. & Harari, D.D. (1984) . Hadamard renormalization in curved space-time. Annals of Physics, 152(1), 85-104.
http://dx.doi.org/10.1016/0003-4916(84)90081-2
---------- CHICAGO ----------
Castagnino, M.A., Harari, D.D. "Hadamard renormalization in curved space-time" . Annals of Physics 152, no. 1 (1984) : 85-104.
http://dx.doi.org/10.1016/0003-4916(84)90081-2
---------- MLA ----------
Castagnino, M.A., Harari, D.D. "Hadamard renormalization in curved space-time" . Annals of Physics, vol. 152, no. 1, 1984, pp. 85-104.
http://dx.doi.org/10.1016/0003-4916(84)90081-2
---------- VANCOUVER ----------
Castagnino, M.A., Harari, D.D. Hadamard renormalization in curved space-time. Ann. Phys. 1984;152(1):85-104.
http://dx.doi.org/10.1016/0003-4916(84)90081-2