Dynamics of quintessence in generalized uncertainty principle

We investigate the quintessence scalar field model modified by the generalized uncertainty principle in the background of a spatially flat homogeneous and isotropic universe. By performing a dynamical system analysis we examine the nature of the critical points and their stability for two potentials...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2020-10, Vol.80 (10), p.1-14, Article 931
Main Authors: Giacomini, Alex, Leon, Genly, Paliathanasis, Andronikos, Pan, Supriya
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Cosmology
Critical point
Elementary Particles
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physical properties
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quintessence (cosmology)
Regular Article - Theoretical Physics
Scalars
String Theory
Systems analysis
Uncertainty principles
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Summary:We investigate the quintessence scalar field model modified by the generalized uncertainty principle in the background of a spatially flat homogeneous and isotropic universe. By performing a dynamical system analysis we examine the nature of the critical points and their stability for two potentials, one is the exponential potential and the other is a general potential. In the case of an exponential potential, we find some new critical points for this modified quintessence scenario that describe the de Sitter universes, and these critical points do not appear in the standard quintessence model with an exponential potential. This is one of the main results of this work. Now for the general potential our analysis shows that the physical properties of the critical points remain exactly the same as for the exponential potential which means that within this modified quintessence scenario all kind of potentials have same behaviour. This kind of result is completely new in cosmology because with the change of the potential, differences are usually expected in all respect.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-020-08508-4