Loop quantum Brans-Dicke cosmology
  The spatially flat and isotropic cosmological model of Brans-Dicke theory
with coupling parameter $\omega\neq-3/2$ is quantized by the approach of loop
quantum cosmology. An interesting feature of this model is that, although the
Brans-Dicke scalar field is non-minimally coupled with curvature, it can still
play the role of an emergent time variable. In the quantum theory, the
classical differential equation which represents cosmological evolution is
replaced by a quantum difference equation. The effective Hamiltonian and
modified dynamical equations of loop quantum Brans-Dicke cosmology are also
obtained, which lay a foundation for the phenomenological investigation to
possible quantum gravity effects in cosmology. The effective equations indicate
that the classical big bang singularity is again replaced by a quantum bounce
in loop quantum Brans-Dicke cosmology.
