The Scalar Field Kernel in Cosmological Spaces

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dc.creatorKoksma, Jurjen F.
dc.creatorProkopec, Tomislav
dc.creatorRigopoulos, Gerasimos I.
dc.date2007-12-21
dc.date2008-06-16
dc.date.accessioned2026-07-07T11:39:37Z
dc.date.available2026-07-07T11:39:37Z
dc.descriptionWe construct the quantum mechanical evolution operator in the Functional Schrodinger picture - the kernel - for a scalar field in spatially homogeneous FLRW spacetimes when the field is a) free and b) coupled to a spacetime dependent source term. The essential element in the construction is the causal propagator, linked to the commutator of two Heisenberg picture scalar fields. We show that the kernels can be expressed solely in terms of the causal propagator and derivatives of the causal propagator. Furthermore, we show that our kernel reveals the standard light cone structure in FLRW spacetimes. We finally apply the result to Minkowski spacetime, to de Sitter spacetime and calculate the forward time evolution of the vacuum in a general FLRW spacetime.
dc.description13 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0712.3685
dc.identifierhttp://arxiv.org/abs/0712.3685
dc.identifierClass.Quant.Grav.25:125009,2008
dc.identifierdoi:10.1088/0264-9381/25/12/125009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199982
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleThe Scalar Field Kernel in Cosmological Spaces
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