A New Approach to Quintessence and a Solution of Multiple Attractors

TL;DR

This paper introduces a novel method for constructing Quintessence models, enabling the identification of multiple attractors and a scenario where the field transitions from a scaling attractor to a de-Sitter-like attractor, explaining cosmic acceleration.

Contribution

It presents a new approach to Quintessence model construction, including a straightforward way to find multiple attractors and a scenario for the field's rapid transition to explain acceleration.

Findings

Successfully obtained a new tracker solution.

Demonstrated the existence of multiple attractors.

Proposed a mechanism for the field's rapid jump.

Abstract

We take a new approach to construct Quintessential models. With this approach, we first easily obtain a tracker solution that is different from those discovered before and straightforwardly find a solution of multiple attractors, i.e., a solution with more than one attractor for a given set of parameters. Then we propose a scenario of Quintessence where the field jumps out of the scaling attractor to the de-Sitter-like attractor, by introducing a field whose value changes a certain amount in a short time, leading to the current acceleration. We also calculate the change the field needs for a successful jump and suggest a possible mechanism that involves spontaneous symmetry breaking to realize the sudden change of the field value.