Lattice Refining Loop Quantum Cosmology and Inflation

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dc.creatorNelson, William
dc.creatorSakellariadou, Mairi
dc.date2007-06-01
dc.date2007-06-30
dc.date.accessioned2026-07-07T11:16:31Z
dc.date.available2026-07-07T11:16:31Z
dc.descriptionWe study the importance of lattice refinement in achieving a successful inflationary era. We solve, in the continuum limit, the second order difference equation governing the quantum evolution in loop quantun cosmology, assuming both a fixed and a dynamically varying lattice in a suitable refinement model. We thus impose a constraint on the potential of a scalar field, so that the continuum approximation is not broken. Considering that such a scalar field could play the role of the inflaton, we obtain a second constraint on the inflationary potential so that there is consistency with the CMB data on large angular scales. For a $m^2ϕ^2/2$ inflationary model, we combine the two constraints on the inflaton potential to impose an upper limit on $m$, which is severely fine-tuned in the case of a fixed lattice. We thus conclude that lattice refinement is necessary to achieve a natural inflationary model.
dc.description12 pages, RevTex Two minor changes to match version to appear in Physical Review D
dc.identifierhttps://arxiv.org/abs/0706.0179
dc.identifierhttp://arxiv.org/abs/0706.0179
dc.identifierPhys.Rev.D76:044015,2007
dc.identifierdoi:10.1103/PhysRevD.76.044015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192699
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleLattice Refining Loop Quantum Cosmology and Inflation
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