The conditions on the effective (de Sitter space) scalar potential that are required to obtain a successful new-inflationary-Universe scenario are codified into a general prescription. These conditions ensure that sufficient inflation, density fluctuations of an acceptable magnitude, and reheating to a high enough temperature to produce the astrophysically observed baryon asymmetry result. We exemplify our prescription for a quartic potential and show that if the scalar field is a gauge singlet, then it is possible to tune the parameters of the potential to satisfy the conditions we have prescribed.

• Received 24 January 1984

DOI:https://doi.org/10.1103/PhysRevD.29.2162