Constraints on linear-negative potentials in quintessence and phantom models from recent supernova data

dc.creatorPerivolaropoulos, L.
dc.date2004-12-13
dc.date2005-02-15
dc.date.accessioned2026-07-07T11:29:31Z
dc.date.available2026-07-07T11:29:31Z
dc.descriptionWe study quintessence and phantom field theory models based on linear-negative potentials of the form $V(ϕ)=s ϕ$. We investigate the predicted redshift dependence of the equation of state parameter $w(z$ for a wide range of slopes $s$ in both quintessence and phantom models. We use the gold dataset of 157 SnIa and place constraints on the allowed range of slopes $s$. We find $s=0\pm 1.6$ for quintessence and $s=\pm 0.7\pm 1$ for phantom models (the range is at the $2σ$ level and the units of $s$ are in $\sqrt{3}M_p H_0^2\simeq 10^{-38}eV^3$ where $M_p$ is the Planck mass). In both cases the best fit is very close to $s\simeq 0$ corresponding to a cosmological constant. We also show that specific model independent parametrizations of $w(z)$ which allow crossing of the phantom divide line $w=-1$ (hereafter PDL) provide significantly better fits to the data. Unfortunately such crossings are not allowed in any phantom or quintessence single field model minimally coupled to gravity. Mixed models (coupled phantom-quintessence fields) can in principle lead to a $w(z)$ crossing the PDL but a preliminary investigation indicates that this does not happen for natural initial conditions.
dc.description8 pages, 7 figures. References added, discussion modified. The mathematica file with the numerical analysis of the paper can be downloaded from http://leandros.physics.uoi.gr/negpot.htm
dc.identifierhttps://arxiv.org/abs/astro-ph/0412308
dc.identifierhttp://arxiv.org/abs/astro-ph/0412308
dc.identifierPhys.Rev.D71:063503,2005
dc.identifierdoi:10.1103/PhysRevD.71.063503
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196738
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleConstraints on linear-negative potentials in quintessence and phantom models from recent supernova data
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