21 Oct 1998 | Ivaylo Zlatev, Limin Wang and Paul J. Steinhardt
The paper discusses the cosmological constant problem and the coincidence problem, which are central issues in cosmology. Observations suggest that the universe's energy density has negative pressure, with two main explanations: vacuum energy (cosmological constant) and quintessence, a scalar field slowly evolving down a potential. The coincidence problem arises because the energy density of the universe nearly coincides with the matter density today, requiring a specific, infinitesimal ratio in the early universe.
The authors introduce the concept of a "tracker field," a form of quintessence that allows the energy density to track the background density, making the coincidence problem less problematic. Tracker fields are insensitive to initial conditions and can explain current observations of the cosmic microwave background, large-scale structure, and cosmic acceleration. They also predict a relation between the matter density and the equation-of-state parameter of the quintessence component.
Tracker solutions exist for a wide range of potentials, including inverse power-law and exponential potentials. These solutions are characterized by a constant equation-of-state parameter, $ w_Q $, which changes as the universe evolves. The tracker field's energy density decreases as $ 1/a^{3(1+w_Q)} $, and $ w_Q $ automatically decreases to a negative value as the universe transitions from radiation- to matter-dominated. Eventually, the Q-component overtakes the matter density, leading to an accelerated expansion.
The paper also addresses the fine-tuning problem, showing that tracker solutions do not require a new mass hierarchy in fundamental parameters. The models are consistent with current observations and suggest that the universe's future behavior is similar to that of a cosmological constant, even though the reality is that the Q-field is slowly evolving. The paper concludes that tracker fields provide a compelling explanation for the coincidence problem and offer a new perspective on quintessence models.The paper discusses the cosmological constant problem and the coincidence problem, which are central issues in cosmology. Observations suggest that the universe's energy density has negative pressure, with two main explanations: vacuum energy (cosmological constant) and quintessence, a scalar field slowly evolving down a potential. The coincidence problem arises because the energy density of the universe nearly coincides with the matter density today, requiring a specific, infinitesimal ratio in the early universe.
The authors introduce the concept of a "tracker field," a form of quintessence that allows the energy density to track the background density, making the coincidence problem less problematic. Tracker fields are insensitive to initial conditions and can explain current observations of the cosmic microwave background, large-scale structure, and cosmic acceleration. They also predict a relation between the matter density and the equation-of-state parameter of the quintessence component.
Tracker solutions exist for a wide range of potentials, including inverse power-law and exponential potentials. These solutions are characterized by a constant equation-of-state parameter, $ w_Q $, which changes as the universe evolves. The tracker field's energy density decreases as $ 1/a^{3(1+w_Q)} $, and $ w_Q $ automatically decreases to a negative value as the universe transitions from radiation- to matter-dominated. Eventually, the Q-component overtakes the matter density, leading to an accelerated expansion.
The paper also addresses the fine-tuning problem, showing that tracker solutions do not require a new mass hierarchy in fundamental parameters. The models are consistent with current observations and suggest that the universe's future behavior is similar to that of a cosmological constant, even though the reality is that the Q-field is slowly evolving. The paper concludes that tracker fields provide a compelling explanation for the coincidence problem and offer a new perspective on quintessence models.