Vacuum density fluctuations in extended chaotic inflation

Journal Article · Tue Dec 15 04:00:00 EST 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.5337· OSTI ID:6937041

Deruelle, N ^[1]; Gundlach, C ^[2]; Langlois, D ^[3]

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1. Departement d'Astrophysique Relativiste et de Cosmologie, Centre National de la Recherche Scientifique, Observatoire de Paris, 92195 Meudon (France) Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW (United Kingdom)
2. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW (United Kingdom)
3. Departement d'Astrophysique Relativiste et de Cosmologie, Centre National de la Recherche Scientifique, Observatoire de Paris, 92195 Meudon (France)

An inflaton (scalar field) with the potential [ital c][sigma][sup 2[ital n]] is coupled to gravity within the Jordan-Brans-Dicke theory. The corresponding inflationary model (that is, a flat Friedmann-Robertson-Walker solution with a slowly varying inflaton) is constructed for all values of the coupling [beta] of the inflaton to the dilaton (Brans-Dicke scalar field). The linearized perturbations of the metric, the dilaton, [ital and] the inflaton are then quantized within a gauge-invariant formalism. The power spectrum of the vacuum density fluctuations is calculated as a function of [ital c],[ital n], and [beta]. It is the juxtaposition of two powers of the wave number corresponding, respectively, to the contribution of the inflaton and the dilaton. We find the value of [beta] for which the dilaton contribution dominates on observable cosmological scales.

• OSTI ID: 6937041
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:12; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BESSEL FUNCTIONS
COSMOLOGICAL MODELS
COUPLING
DEGREES OF FREEDOM
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FUNCTIONS
GAUGE INVARIANCE
GRAVITATIONAL FIELDS
HEISENBERG PICTURE
INFLATIONARY UNIVERSE
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
METRICS
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
SCALAR FIELDS
VACUUM STATES