M. Sasaki et Ed. Stewart, A GENERAL ANALYTIC FORMULA FOR THE SPECTRAL INDEX OF THE DENSITY PERTURBATIONS PRODUCED DURING INFLATION, Progress of theoretical physics, 95(1), 1996, pp. 71-78
The standard calculation of the spectrum of density perturbations prod
uced during inflation assumes that there is only one real dynamical de
gree of freedom during inflation. However, there is no reason to belie
ve that this is actually the case. In this paper we derive general ana
lytic formulae for the spectrum and spectral index of the density pert
urbations produced during inflation.