Dynamical de Sitter conjecture and quintessence model

TL;DR

This paper extends the de Sitter conjecture to include scalar field dynamics, applying it to quintessence inflation models, resulting in broader parameter bounds with potential implications for quantum gravity and compactification models.

Contribution

It introduces an extended de Sitter conjecture that accounts for scalar field dynamics and applies it to inflation models, expanding the allowed parameter space.

Findings

Broader parameter bounds for scalar potentials in quintessence models

Implications for constructing compactification models in quantum gravity

Enhanced understanding of the swampland conjecture constraints

Abstract

The de Sitter conjecture yields a severe bound on possible vacua for a consistent quantum gravity. We extend the de Sitter conjecture by taking into account dynamics of the scalar field. We then apply such an extended de Sitter conjecture to a quintessence model of inflation for which dynamics of the scalar field is essential, and obtain an allowed region of parameters of the scalar potential wider than previously considered cases with the conventional de Sitter conjecture. The new bounds in the swampland conjecture could have implications in several situations to construct compactification models.