  We investigate a field theoretical approach to the Jordan-Brans- Dicke (JBD)
theory extended with a particular potential term on a cosmological background
by starting with the motivation that the Higgs field and the scale factor of
the universe are related. Based on this relation, it is possible to come up
with mathematically equivalent but two different interpretations. From one
point of view while the universe is static, the masses of the elementary
particles change with time. The other one, which we stick with throughout the
manuscript, is that while the universe is expanding, particle masses are
constant. Thus, a coupled Lagrangian density of the JBD field and the scale
factor (the Higgs field), which exhibit a massive particle and a linearly
expanding space in zeroth order respectively, is obtained. By performing a
coordinate transformation in the field space for the reduced JBD action whose
kinetic part is nonlinear sigma model, the Lagrangian of two scalar fields can
be written as uncoupled for the Higgs mechanism. After this transformation, as
a result of spontaneous symmetry breaking, the time dependent vacuum
expectation value (vev) of the Higgs field and the Higgs bosons which are the
particles corresponding to quantized oscillation modes about the vacuum, are
found.
