|
FIZIKA B 16 (2007) 3, 129 - 140
 
GEOMETRICAL HIGGS MASS AND BOSON STARS FROM COMPLEX SCALAR FIELD BRANS-DICKE
GRAVITY
RAMI AHMAD EL-NABULSI
Plasma Application Laboratory, Department of Nuclear and Energy Engineering and
Faculty of Mechanical, Energy and Production Engineering, Cheju National
University, Ara-dong 1, Jeju 690-756, South Korea
E-mail address:
nabulsiahmadrami@yahoo.fr
Received 4 May 2006; Revised
manuscript received 8 October 2007
Accepted 21 November 20 Online 15
February 2008
We discuss Higgs gauge symmetry breaking and mass stability, Brans-Dicke
scalar gravity, dark energy and dark matter within the framework of non-minimal
coupling, where the observable cosmological constant was shown to be the sum of
the vacuum (Lvac) and the induced term
Lind=-3m2/4 with m being the
ultra-light mass ( » the Hubble parameter)
implemented in the theory from supergravities arguments. We show that the
dynamical Higgs mass and the generated electron mass are geometrical, depending
on Lvac and m, on condition that the
scalar curvature and the non-minimal coupling parameter are of opposite signs.
In order to take into account the dark matter and dark energy, we have
generalized the theory by adding a decreasing exponential complex potential to
the Higgs-like complex scalar one. We show that the whole clusters, galaxies
physical scenarios and boson stars may depend also on the sign of the scalar
curvature and on the non-minimal coupling constant.
PACS numbers: 11.15.-q, 98.80.-k, 98.80.Cq, 12.15.Ji
UDC 524.83
Keywords: Higgs mechanism, dark energy, induced cosmological constant,
bosons stars
|
