Abstract We study several quintessence models which are exotic at Q = 0, and use a simple constraint Q≥ H/2π, to check when they enter the tracking regime, disregarding the details of inflation. We find that it can also give strong constraints for V=V0Q-α, which has to enter the tracking regime after &ln; z ∼ 10, while for the supergravity model V=V0Q-α exp (kQ2/2), the constraint is much weaker. For the exponential form of inverse power-law potential V=V0 exp (λ/Q), it exhibits no constraints.

Keywords cosmology: theory

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