2005/11/30 by Yves Décanini, Antoine Folacci
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Relativity and Gravitational Theory #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevd.73.044027
published as Phys.Rev.D73:044027,2006 · 42 pages; v2: Incorrect claims suppressed, ref. added, typos corrected, expansion of the Van Vleck-Morette determinant improved; v3: Minor changes and refs. added to match the published version
arxiv created 2006/02/22 · openalex publication_date 2006/02/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Having in mind applications to gravitational wave theory (in connection with the radiation reaction problem), stochastic semiclassical gravity (in connection with the regularization of the noise kernel) and quantum field theory in higher-dimensional curved spacetime (in connection with the Hadamard regularization of the stress-energy tensor), we improve the DeWitt-Schwinger and Hadamard representations of the Feynman propagator of a massive scalar field theory defined on an arbitrary gravitational background by deriving higher-order terms for the covariant Taylor series expansions of the geometrical coefficients---i.e., the DeWitt and Hadamard coefficients---that define them.