Early Tracking Behavior in Small-field Quintessence Models

Abstract

We study several quintessence models which are singular at Q=0, and use a simple initial constraint $Q_i\ge H_{inflation}/2\pi$ to see when they enter tracking regime, disregarding the details of inflation. We find it can give strong constraints for the inverse power-law potential $V=V_0{Q}^{-\alpha }$, which has to enter tracking regime for $\ln z\sim 10$. While for the supergravity model $V=V_0{Q}^{-\alpha }\exp (k{Q}^2/2)$, the constraint is much weakened. For another kind inverse power-law potential $V=V_0\exp (\lambda /Q)$, it exhibits no constraints.

11 pages,5 figures. Improved version

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Cited by in corpus (2)

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