RECONSTRUCTION OF THE BUBBLE NUCLEATING POTENTIAL

We calculate analytically the bubble nucleation rate in a model of fir st-order inflation which is able to produce the large-scale structure. The computation includes the first-order departure from the thin-wall limit, the explicit derivation of the preexponential factor, and the gravitational correction. The resulting bubble spectrum then is compar ed with constraints from the large-scale structure and the microwave b ackground. We show that there are models which pass all the constraint s and produce bubblelike perturbations of interesting size. Furthermor e, we show that it is in principle, possible to reconstruct completely the inflationary two-field potential from observations.