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arxiv: 1202.0896 · v3 · submitted 2012-02-04 · ✦ hep-ph · astro-ph.CO· gr-qc

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Stability of the 3-form field during inflation

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classification ✦ hep-ph astro-ph.COgr-qc
keywords inflationpotentialsclassesfieldformavoidbeencandidate
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We consider the minimally coupled 3-form field which has been considered as a candidate to realize inflation. We have studied the conditions to avoid ghosts and Laplacian instabilities and found that some classes of potentials, e.g. the Mexican-hat one, will in general be unstable. We then propose other classes of potentials which are instead free from any instability, drive a long-enough slow-roll regime followed by an oscillatory epoch, and as a consequence, can provide successful inflation. Finally, we also provide stable potentials which lead to a small enough propagation speed for the scalar perturbations, giving a possibility for these models to produce non-Gaussianities.

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