Abstract
I study a semiclassical approach to the warm inflation scenario introduced in previous works. In this work, I define the fluctuations for the matter field by means of a new coarse-grained field with a suppression factor G. This field describes the matter fluctuations on the now observable scale of the universe. The power spectrum for the fluctuations of the matter field is analyzed in both de Sitter and power-law expansions for the universe. The constraint for the spectral index gives a constraint for the mass of the matter field in the de Sitter expansion and a constraint for the friction parameter in the power-law expansion for the universe.
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