### Abstract

We reanalyze a new quintessence scenario in a brane world model, assuming that a quintessence scalar field is confined in our three-dimensional brane world. We study three typical quintessence models: (1) an inverse-power-law potential, (2) an exponential potential, and (3) a kinetic-term quintessence (k-essence) model. With an inverse-power-law potential model [V(φ) = μ^{α+4}φ^{-α}], we show that in the quadratic dominant stage the density parameter of a scalar field Ω_{φ} decreases as a^{-4(α-2)/(α+2)} for 2<α<6, which is followed by the conventional quintessence scenario. This feature provides us wider initial conditions for successful quintessence. In fact, even if the universe is initially scalar-field dominated, it eventually evolves into a radiation dominated era in the ρ^{2}-dominant stage. Assuming an equipartition condition, we discuss constraints on parameters, with the result that α≥4 is required. This constraint also restricts the value of the five-dimensional Planck mass, e.g., 4×10^{-14}m_{4}≤m_{5}≤3×10 ^{-13}m_{4} for α=5. For an exponential potential model V = μ^{4} exp(-λφ/m_{4}), we may not find a natural and successful quintessence scenario as it is, while for a kinetic-term quintessence, we find a tracking solution even in the ρ^{2}-dominant stage, rather than the Ω_{φ}-decreasing solution for an inverse-power-law potential. Then we do find a slight advantage in a brane world. Only the density parameter increases more slowly in the ρ^{2}-dominant stage, which provides a wider initial condition for successful quintessence.

Original language | English |
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Article number | 123521 |

Journal | Physical Review D |

Volume | 64 |

Issue number | 12 |

Publication status | Published - 2001 Dec 15 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D*,

*64*(12), [123521].