New Constraints from High Redshift Supernovae and Lensing Statistics upon Scalar Field Cosmologies

Abstract

We explore the implications of gravitationally lensed QSOs and high-redshift SNe Ia observations for spatially flat cosmological models in which a classically evolving scalar field currently dominates the energy density of the Universe. We consider two representative scalar field potentials that give rise to effective decaying $\Lambda$ (``quintessence'') models: pseudo-Nambu-Goldstone bosons ($V(\varphi )=M^4(1+\cos (\varphi /f))$) and an inverse power-law potential ($V(\varphi )=M^{4+\alpha }{\varphi }^{-\alpha }$). We show that a large region of parameter space is consistent with current data if ${\Omega }_{m0}>0.15$. On the other hand, a higher lower bound for the matter density parameter suggested by large-scale galaxy flows, ${\Omega }_{m0}>0.3$, considerably reduces the allowed parameter space, forcing the scalar field behavior to approach that of a cosmological constant.

6 pages, 2 figures, submitted to PRD

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