Inflation at Low Scales: General Analysis and a Detailed Model

Details Inflation at Low Scales: General Analysis and a Detailed Model Inflation at Low Scales: General Analysis and a Detailed Model

1995-12-05

arxiv.org/abs/hep-ph/9512241v1

Phys.Rev. D53 (1996) 5455-5467

Physics

High Energy Physics

High Energy Physics - Phenomenology

Submitted to Phys. Rev. D. 32 Pages, REVTeX. No figures

Scientific paper

10.1103/PhysRevD.53.5455

Models of inflationary cosmology based on spontaneous symmetry breaking typically suffer from the shortcoming that the symmetry breaking scale is driven to nearly the Planck scale by observational constraints. In this paper we investigate inflationary potentials in a general context, and show that this difficulty is characteristic only of potentials $V(\phi)$ dominated near their maxima by terms of order $\phi^2$. We find that potentials dominated by terms of order $\phi^m$ with \hbox{$m > 2$} can satisfy observational constraints at an arbitrary symmetry breaking scale. Of particular interest, the spectral index of density fluctuations is shown to depend only on the order of the lowest non-vanishing derivative of $V(\phi)$ near the maximum. This result is illustrated in the context of a specific model, with a broken ${\rm SO(3)}$ symmetry, in which the potential is generated by gauge boson loops.

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