Semiclassical scalar propagators in curved backgrounds: formalism and ambiguities

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dc.creatorGrain, J.
dc.creatorBarrau, A.
dc.date2007-05-30
dc.date2007-10-12
dc.date.accessioned2026-07-07T11:41:12Z
dc.date.available2026-07-07T11:41:12Z
dc.descriptionThe phenomenology of quantum systems in curved space-times is among the most fascinating fields of physics, allowing --often at the gedankenexperiment level-- constraints on tentative theories of quantum gravity. Determining the dynamics of fields in curved backgrounds remains however a complicated task because of the highly intricate partial differential equations involved, especially when the space metric exhibits no symmetry. In this article, we provide --in a pedagogical way-- a general formalism to determine this dynamics at the semiclassical order. To this purpose, a generic expression for the semiclassical propagator is computed and the equation of motion for the probability four-current is derived. Those results underline a direct analogy between the computation of the propagator in general relativistic quantum mechanics and the computation of the propagator for stationary systems in non-relativistic quantum mechanics. A possible application of this formalism to curvature-induced quantum interferences is also discussed.
dc.descriptionNew materials on gravitationally-induced quantum interferences has been added
dc.identifierhttps://arxiv.org/abs/0705.4393
dc.identifierhttp://arxiv.org/abs/0705.4393
dc.identifierPhys.Rev.D76:084009,2007
dc.identifierdoi:10.1103/PhysRevD.76.084009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200452
dc.subjectHigh Energy Physics - Theory
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectQuantum Physics
dc.titleSemiclassical scalar propagators in curved backgrounds: formalism and ambiguities
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