
Cosmological evolution of α and μ and the dynamics of dark energy
P. P. Avelino
Abstract
We study the cosmological evolution of the fine structure constant α
and the proton-to-electron mass ratio μ=mp/me
in the context of a generic class of models, where the gauge kinetic function is a linear function of a quintessence-type real scalar field ϕ
described by a Lagrangian with a standard kinetic term and a scalar field potential V(ϕ)
. We further assume that the scalar field potential is a monotonic function of ϕ
and that the scalar field is always rolling down the potential. We show that, for this class of models, low-redshift constraints on the evolution of α
and μ
can provide very stringent limits on the corresponding variations at high redshift. We also demonstrate that these limits may be relaxed by considering more general models for the dynamics of α
and μ
. However, in this case, the ability to reconstruct the evolution of the dark energy equation of state using varying couplings could be seriously compromised.
Physical Review D
Volume 78, Page 043516
August 2008
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