Off-diagonal coefficients of the DeWitt-Schwinger and Hadamard representations of the Feynman propagator

Journal Article · Wed Feb 15 00:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.73.044027· OSTI ID:20776765

Decanini, Yves; Folacci, Antoine ^[1]

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1. UMR CNRS 6134 SPE, Equipe Physique Semi-Classique (Ethiopia) de la Matiere Condensee, Universite de Corse, Faculte des Sciences, BP 52, 20250 Corte (France)

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.

• OSTI ID: 20776765
• Journal Information: Physical Review. D, Particles Fields, Vol. 73, Issue 4; Other Information: DOI: 10.1103/PhysRevD.73.044027; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FEYNMAN DIAGRAM
GRAVITATION
GRAVITATIONAL WAVES
KERNELS
PROPAGATOR
QUANTUM FIELD THEORY
SCALAR FIELDS
SEMICLASSICAL APPROXIMATION
SERIES EXPANSION
SPACE-TIME
STRESSES
TENSORS