Induced-gravity inflation

Physics

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Particle-Theory And Field-Theory Models Of The Early Universe, Spontaneous Breaking Of Gauge Symmetries

Scientific paper

In a Ginzburg-Landau model of induced gravity based on the Lagrangian density L=-ɛφ2R/2-∂μφ∂μφ/2 -λ(φ2-v2)2/8, we investigate the semiclassical evolution of φ from φ≠v to the spontaneous-symmetry-breaking minimum φ=v [v≡ɛ-1/2(8πG)-1/2]. We show that for ɛ, λ<<1 the transition is inflationary, both in the case that the initial value of φ=0 (``ordinary new inflation'') and in the case that the initial value of φ>>v (Linde's ``chaotic'' inflation). The value of λ required to ensure density inhomogeneities of the proper size is ɛ dependent and typically <=10-12.

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