We calculate a renormalized two-point function using the adiabatic regularization method. We study the
conformally and minimally coupled cases for massless and massive scalar fields in full detail. We reproduce
previous results in a rigorous mathematical form and clarify some empirical approximations and bounds.
We consider some applications to inflationary models.
two-point function, adiabatic regularization, de Sitter phase
Haro, J. Calculation of the renormalized two-point function by adiabatic regularization. "Theoretical and mathematical physics", Novembre 2010, vol. 165, núm. 2, p. 1490-1499.