Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension

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dc.creatorDécanini, Yves
dc.creatorFolacci, Antoine
dc.date2005-12-20
dc.date2008-05-12
dc.date.accessioned2026-07-07T11:57:39Z
dc.date.available2026-07-07T11:57:39Z
dc.descriptionWe develop the Hadamard renormalization of the stress-energy tensor for a massive scalar field theory defined on a general spacetime of arbitrary dimension. Our formalism could be helpful in treating some aspects of the quantum physics of extra spatial dimensions. More precisely, for spacetime dimension up to six, we explicitly describe the Hadamard renormalization procedure and for spacetime dimension from seven to eleven, we provide the framework permitting the interested reader to perform this procedure explicitly in a given spacetime. We complete our study (i) by considering the ambiguities of the Hadamard renormalization of the stress-energy tensor and the corresponding ambiguities for the trace anomaly, (ii) by providing the expressions of the gravitational counterterms involved in the renormalization process (iii) by discussing the connections between Hadamard renormalization and renormalization in the effective action. All our results are expanded on standard bases for Riemann polynomials constructed from group theoretical considerations and thus given on irreducible forms.
dc.descriptionv1:16 pages - v2:26 pages
dc.identifierhttps://arxiv.org/abs/gr-qc/0512118
dc.identifierhttp://arxiv.org/abs/gr-qc/0512118
dc.identifierPhys.Rev.D78:044025,2008
dc.identifierdoi:10.1103/PhysRevD.78.044025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205955
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleHadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension
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