We examine theoretically the recent experiments of Lange and Walther o
n the dynamical interaction of Rydberg atoms in a microwave cavity in
the presence of a strong driving field. In particular, we study how th
e intense field renormalizes the cavity-induced spontaneous emission.
For this purpose we derive the master equation for the atomic dynamics
by adiabatically eliminating the cavity-field variables, while treati
ng the intense driving field nonperturbatively. We present analytical
and numerical solutions of the master equation, taking into account th
e turn on and turn off of the atom-field coupling in the rest frame of
the atoms, as well as the velocity distribution of the atomic beam. W
e obtain good agreement between theoretical results and experiments.