Hadamard renormalization in curved space-time
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"...
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todo:paper_00034916_v152_n1_p85_Castagnino2023-10-03T13:56:23Z Hadamard renormalization in curved space-time Castagnino, M.A. Harari, D.D. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00034916_v152_n1_p85_Castagnino |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
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. |
| format |
JOUR |
| author |
Castagnino, M.A. Harari, D.D. |
| spellingShingle |
Castagnino, M.A. Harari, D.D. Hadamard renormalization in curved space-time |
| author_facet |
Castagnino, M.A. Harari, D.D. |
| author_sort |
Castagnino, M.A. |
| title |
Hadamard renormalization in curved space-time |
| title_short |
Hadamard renormalization in curved space-time |
| title_full |
Hadamard renormalization in curved space-time |
| title_fullStr |
Hadamard renormalization in curved space-time |
| title_full_unstemmed |
Hadamard renormalization in curved space-time |
| title_sort |
hadamard renormalization in curved space-time |
| url |
http://hdl.handle.net/20.500.12110/paper_00034916_v152_n1_p85_Castagnino |
| work_keys_str_mv |
AT castagninoma hadamardrenormalizationincurvedspacetime AT hararidd hadamardrenormalizationincurvedspacetime |
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1782026923643240448 |