A momentum-space representation of Green's functions with modified dispersion relations on general backgrounds

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dc.creatorRinaldi, Massimiliano
dc.date2008-03-26
dc.date2008-06-04
dc.date.accessioned2026-07-07T11:49:21Z
dc.date.available2026-07-07T11:49:21Z
dc.descriptionWe consider the problem of calculating the Green's functions associated to a massive scalar field with modified dispersion relations. We analyze the case when dispersion is modified by higher derivative spatial operators acting on the field orthogonally to a preferred direction, determined by a unit time-like vector field. By assuming that the integral curves of the vector field are geodesics, we expand the modified Klein-Gordon equation in Fermi normal coordinates. By means of a Fourier transform, we find a series representation in momentum-space of the Green's functions. The coefficients of the series are geometrical terms containing combinations of the Ricci tensor and the vector field, as expected from previous calculations with different methods and for specific backgrounds.
dc.descriptionTypos corrected, details and comments added. To appear on Physical Review D
dc.identifierhttps://arxiv.org/abs/0803.3684
dc.identifierhttp://arxiv.org/abs/0803.3684
dc.identifierPhys.Rev.D78:024025,2008
dc.identifierdoi:10.1103/PhysRevD.78.024025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203204
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleA momentum-space representation of Green's functions with modified dispersion relations on general backgrounds
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