2001/10/31 by A. de la Macorra, Axel de la Macorra, Christian Stephan‐Otto +1
Mathematics · Physics and Astronomy · #Attractor #Black Holes and Theoretical Physics #Cosmology #Cosmology and Gravitation Theories #Coupling (piping) #Dark energy #Geometry #Lambda #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Quintessence #Scalar (mathematics) #Scalar field #Theoretical physics #Unification #astro-ph #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.65.083520
published as Phys.Rev. D65 (2002) 083520 · 15 pages, LaTeX, 8 Figures. Minor changes in text, a discussion on initial conditions added (accepted in Phys.Rev.D)
arxiv created 2002/02/19 · openalex publication_date 2002/04/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the cosmological evolution of scalar fields that arise from a phase transition at some energy scale \ensuremathΛc. We focus on negative power potentials given by V=c\ensuremathΛc4+n\ensuremathφ^\ensuremath-n and restrict the cosmologically viable values of \ensuremathΛc and n. We make a complete analysis of V and impose SN1a conditions on the different cosmological parameters. The cosmological observations ruled out models where the scalar field has reached its attractor solution. For models where this is not the case, the analytic approximated solutions are not good enough to determine whether a specific model is phenomenologically viable or not and the full differential equations must be solved numerically. The results are not fine-tuned since a change of 45% in the initial conditions does not spoil the final results. We also determine the values of Nc and Nf that give a condensation scale \ensuremathΛc consistent with gauge coupling unification, leaving only four models that satisfy unification and SN1a constraints.