93 research outputs found
Higgs dark energy in inert doublet model
Scalar fields are among the possible candidates for dark energy. This paper
is devoted to the scalar fields from the inert doublet model, where instead of
one as in the standard model, two SU(2) Higgs doublets are used. The component
fields of one SU(2) doublet () act in an identical way to the standard
model Higgs while the component fields of the second SU(2) doublet ()
are taken to be the dark energy candidate (which is done by assuming that the
phase transition in the field has not yet occurred). It is found that one can
arrange for late time acceleration (dark energy) by using an SU(2) Higgs
doublet in the inert Higgs doublet model, whose vacuum expectation value is
zero, in the quintessential regime.Comment: 6 pages, 4 figure
Geometric Linearization of Ordinary Differential Equations
The linearizability of differential equations was first considered by Lie for
scalar second order semi-linear ordinary differential equations. Since then
there has been considerable work done on the algebraic classification of
linearizable equations and even on systems of equations. However, little has
been done in the way of providing explicit criteria to determine their
linearizability. Using the connection between isometries and symmetries of the
system of geodesic equations criteria were established for second order
quadratically and cubically semi-linear equations and for systems of equations.
The connection was proved for maximally symmetric spaces and a conjecture was
put forward for other cases. Here the criteria are briefly reviewed and the
conjecture is proved.Comment: This is a contribution to the Proc. of the Seventh International
Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007,
Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry:
Methods and Applications) at http://www.emis.de/journals/SIGMA
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