  A model of low-temperature polar liquids is constructed that accounts for
configurational heat capacity, entropy, and the effect of a strong electric
field on the glass transition. The model is based on Pad{\'e}-truncated
perturbation expansions of the liquid state theory. Depending on parameters, it
accommodates an ideal glass transition of vanishing configurational entropy and
its avoidance, with a square-root divergent enumeration function at the point
of its termination. A composite density-temperature parameter $\rho^\gamma/T$,
often used to represent combined pressure and temperature data, follows from
the model. The theory is in good agreement with experimental data for excess
(over the crystal state) thermodynamics of molecular glass formers. We suggest
that the Kauzmann entropy crisis might be a signature of vanishing
configurational entropy of a subset of degrees of freedom, multipolar rotations
in our model. This scenario has observable consequences: (i) a dynamical
cross-over of the relaxation time and (ii) the fragility index defined by the
ratio of the excess heat capacity and excess entropy at the glass transition.
The Kauzmann temperature of vanishing configurational entropy, and the
corresponding glass transition temperature, shift upward when the electric
field is applied. The temperature shift scales quadratically with the field
strength.
