Interacting quintessence in light of Generalized Uncertainty Principle: Cosmological perturbations and dynamics

TL;DR

This paper explores a cosmological model with interacting dark matter and dark energy, where the dark energy is a quintessence scalar field modified by the quadratic Generalized Uncertainty Principle, affecting both background dynamics and perturbations.

Contribution

It introduces a novel quantum-corrected quintessence model with interaction, analyzing its background solutions and linear perturbations, revealing new dynamical behaviors and solutions.

Findings

Existence of matter-dominated and de Sitter solutions in the model

Quantum corrections modify scalar perturbations significantly

Perturbation behavior varies with coupling parameters

Abstract

We consider a cosmological scenario endowed with an interaction between the universe's dark components $-$ dark matter and dark energy. Specifically, we assume the dark matter component to be a pressure-less fluid, while the dark energy component is a quintessence scalar field with Lagrangian function modified by the quadratic Generalized Uncertainty Principle. The latter modification introduces new higher-order terms of fourth-derivative due to quantum corrections in the scalar field's equation of motion. Then we investigate asymptotic dynamics and general behaviour of solutions of the field equations for some interacting models of special interests in the literature. At the background level, the present interacting model exhibits the matter-dominated and de Sitter solutions which are absent in the corresponding quintessence model. Furthermore, to boost the background analysis, we study cosmological linear perturbations in the Newtonian gauge where we show how perturbations are modified by quantum corrected terms from the quadratic Generalized Uncertainty Principle. Depending on the coupling parameters, scalar perturbations show a wide range of behavior.