Probability of Warm Inflation in Loop Quantum Cosmology
  Warm inflation is analyzed in the context of Loop Quantum Cosmology (LQC).
The bounce in LQC provides a mean through which a Liouville measure can be
defined, which has been used previously to characterize the a priori
probability for inflation in LQC. Here we take advantage of the tools provided
by LQC to study instead the a priori probability for warm inflation dynamics in
the context of a monomial quartic inflaton potential. We study not only the
question of how a general warm inflation dynamics can be realized in LQC with
an appropriate number of e-folds, but also how such dynamics is constrained to
be in agreement with the latest cosmic microwave background radiation from
Planck. The fraction of warm inflation trajectories in LQC that gives both the
required minimum amount e-folds of expansion and also passes through the
observational window of allowed values for the tensor-to-scalar ratio and the
spectral tilt is explicitly obtained. We find that the probability of warm
inflation with a monomial quartic potential in LQC is higher than that of cold
inflation in the same context. Furthermore, we also obtain that the a priori
probability gets higher as the inherent dissipation of the warm inflation
dynamics increases.
