  We consider a noncommutative standard model with a minimal coupling scalar
field and a dynamical deformation between the canonical momenta of its scale
factor and scalar field, and a chameleon model with a non-minimally coupling
scalar field. We indicate that there is a correspondence between these two
models, more specific, actually between the noncommutative parameter and the
chameleon coupling strength, and also between the matter density of the
chameleon model and the noncommutative geometry. In addition, the analogy
constrains the type of the matter field in the chameleon model to be nearly a
cosmic string-like during the inflation. Thus, the scenario enables the
evolution of the universe being described by one single scalar field. That is,
the effects of the chameleon and the inflaton can be described by one single
scalar field which plays the role of inflaton in the very early universe and
then, acts as a chameleon field. Moreover, the proposed correspondence
procedure not~only sets some constraints on the noncommutative parameter and
the chameleon coupling constant, but also nearly specifies functions of the
scalar field and its potential.

General Relativity and Quantum Cosmology;High Energy Physics - Theory