2,461 research outputs found
Quintessence and phantom emerging from the split-complex field and the split-quaternion field
Motivated by the mathematic theory of split-complex numbers (or hyperbolic
numbers, also perplex numbers) and the split-quaternion numbers (or
coquaternion numbers), we define the notion of split-complex scalar field and
the split-quaternion scalar field. Then we explore the cosmic evolution of
these scalar fields in the background of spatially flat
Friedmann-Robertson-Walker Universe. We find that both the quintessence field
and the phantom field could naturally emerge in these scalar fields.
Introducing the metric of field space, these theories fall into a subclass of
the multi-field theories which have been extensively studied in inflationary
cosmology.Comment: 14 pages, 14 figure
Scalar Gravity and Higgs Mechanism
The role that the auxiliary scalar field played in Brans-Dicke
cosmology is discussed. If a constant vacuum energy is assumed to be the origin
of dark energy, then the corresponding density parameter would be a quantity
varying with ; and almost all of the fundamental components of our
universe can be unified into the dynamical equation for . As a
generalization of Brans-Dicke theory, we propose a new gravity theory with a
complex scalar field which is coupled to the cosmological curvature
scalar. Through such a coupling, the Higgs mechanism is naturally incorporated
into the evolution of the universe, and a running density of the field vacuum
energy is obtained which may release the particle standard model from the
rigorous cosmological constant problem in some sense. Our model predicts a
running mass scale of the fundamental particles in which the gauge symmetry
breaks spontaneously. The running speed of the mass scale in our case could
survive all existing experiments.Comment: 6 page
- …