Power spectrum of the primordial scalar field fluctuations in the warm inflation scenario

A new model of warm inflation without slow-roll conditions for the scalar field is studied. Classicality conditions that must be satisfied to have an effective stochastic approach in the warm inflation scenario are analyzed for a general coarse-grained field, defined with a function that describes the long wavelength suppression. The theory can predict the spectral density of the fluctuations of the field which can be compared with the COBE data. [S0556-2821(98)11020-2].